TOA has long been recognized as a manufacturer of high-quality, flexible, and reliable amplifiers.
For over 75 years, we have also been an innovator in the design of high-performance speaker
systems for a wide range of applications. TOA has been at the forefront in the development of
specialized loudspeaker technologies for public spaces. TOA produced some of the first professional speaker systems that utilized dedicated electronic processing to optimize the speaker’s performance. TOA engineers presented the first AES papers on adaptive filter equalization
and the use of all-pass filters for flat-phase speaker tuning. Our test facilities include one of the
world’s largest anechoic chambers and state-of-the-art facilities for acoustics and reverberation
simulation. TOA was among the first to adopt the RASTI speaker intelligibility rating method
and we rigorously test our speakers using TEF 20 analyzers. TOA also assisted with the Japanese
translation of the classic text by Don and Carolyn Davis, Sound System Engineering, and has long
been a sponsor of Syn-Aud-Con sound system design seminars.
The purpose of this design guide is to provide sound contractors and systems integrators with
a convenient, easy-to-use reference to design small- and medium-sized TOA distributed speaker systems. The guide discusses the main parameters and trade-offs involved in designing distributed speaker systems and provides rules-of-thumb to help specify and implement them.
Disclaimer: This design guide does not cover all of the general concepts underlying sound
system design and installation, which would require several hundred pages. This guide is not
meant to replace the participation of an experienced consultant or engineer.
References: For more detailed information about sound system design principles, we recommend
the following two excellent books:
Sound System Engineering, Second Edition, Don and Carolyn Davis, 1975, 1987 by Howard Sams &
Co. ISBN: 0-672-21857-7
Handbook for Sound Engineers: Third Edition, Glen Ballou, Editor, 2001, Butterworth and Heinemann.
ISBN: 0-240-80454-6
Acknowledgements
Thanks to Steve Mate and John Murray in the TOA Product Support Group for their invaluable
support and contributions to this project. Thanks also to Don and Carolyn Davis for being guiding
lights to so many of us who work with sound and who always want the world to sound a little
(sometimes a lot) better.
David Menasco
Product Application Specialist
TOA Electronics, Inc.
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TOA Electronics Speaker Guide
Chapter 1: Getting Started: System Design
Steps
System design is essentially a process of answering the right questions in the right order. Answering the following questions will provide the basis of a sound design for your system. Not
included in the list is the question of project budget, which is always a guiding factor.
1. Where will the system be used?
Is it indoors or outdoors?
If indoors, is it highly reverberant?
How large is the space?
What mounting/installation options are available?
Answers to the following questions will guide the project and influence subsequent questions.
2. What will the system be used for?
Is it for music, speech, signaling tones, or a combination?
What level of fidelity, or sound quality, is required?
Is strong bass response important?
What level of speech intelligibility is required?
Defining the requirements of the system is critical to the success of the installation. Different sound
system applications and their requirements are discussed in Chapter 2: System Applications.
3. How loud must the system be?
How much noise is present in the listening environment?
Will the system be used for high-level foreground music?
Use an SPL meter to measure ambient noise levels on site during typical operating conditions.
An inexpensive SPL meter is available from Extech (http://www.extech.com). See Chapter 5: Using Speaker Specifications for an overview of how to calculate the required sound pressure
and power levels, based on the background noise you measured or estimated.
4. What type of speakers are right for the job?
Will the job require ceiling, wall-mount, or other types of speakers?
Will subwoofers be needed to enhance the bass response?
Since the best speakers for one job may be amongst the worst for another job, proper matching
of the speaker to the installation is important. See Chapter 3: Speaker Types for a discussion of
the types of speakers most commonly used in distributed speaker systems, and the application
each is suited for.
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TOA Electronics Speaker Guide
5. How should the speakers be distributed throughout the space?
What layout pattern will be used (i.e., square or hexagonal)?
How far should speakers be spaced from each other?
It is often said that “location is everything.” Where speakers are concerned, this is often the
case. See Chapter 2: System Applications and Chapter 6: Layout and Spacing for Distributed Speaker Systems for rules-of-thumb to establish the appropriate number and placement of
speakers.
6. How much power and what kind of wiring is required?
An amplifier with inadequate power can render a sound system unintelligible at normal operating
levels. Matching the amp(s) to the speaker(s)—and selecting the proper connecting cable—
are important ingredients of speaker system design. See Chapter 7: Amplifier Selection and
Appendix A: Wire Size Charts for this critical information.
7. Is equalization required?
In many cases, an equalizer can help balance the sound of a system. When microphones are
used, equalization may also improve gain before feedback. See page 20 for a brief discussion
of how equalizers function in distributed sound systems.
11
TOA Electronics Speaker Guide
Chapter 2: System Applications
Paging
Paging systems communicate voice announcements throughout a building or area. Distributing
intelligible speech is the main requirement of a paging system. Consider the following points
when designing a system for paging:
•Speech energy is concentrated in the range 350 Hz – 5 kHz. System frequency response
should be smooth and consistent in this range.
•Speech intelligibility is most affected by system performance in the range 1–5 kHz.
Consistent coverage of the listening area is especially important in this frequency
range.
•People’s voices can vary significantly in loudness, sometimes leading to high peak
(short-term) demands on system power. Excessive distortion (due to overdriven amplifiers or speakers) can reduce intelligibility by masking the critical consonant sounds.
See Sensitivity Ratings and the Decibel on page 18, Determining Maximum Output: Sensitivity and Power Handling on page 21, and Chapter 7: Amplifier Selection to
match your speakers and amplifiers to the application.
Additional intelligibility factors are discussed in Chapter 4: Audio Basics.
Speech Reinforcement
Sound systems that must amplify speech for extended periods of time (i.e., a meeting room or
a lecture hall) pose special challenges to the system designer. Consider the following points
when designing a speech reinforcement speaker system:
•It is important to avoid dead spots (quiet or dull-sounding areas within the listening
area) to maximize intelligibility and avoid feedback. Feedback occurs when the gain
is increased in an attempt to supply more volume to the dead areas.
•Using multiple mics to reinforce multiple speakers, as in a panel discussion, presents
a special challenge: Doubling the number of microphones reduces the system gain (relative volume) that can be reached before feedback by 3 dB.
•If more than four microphones are used, consider employing an automatic mixer, such
as the TOA AX-1000A, to help maximize system gain.
•The gain, or relative volume, that can be achieved depends on the relative positions of
the microphones, the loudspeakers, and the listeners, in combination with the acoustical
characteristics of the mics, loudspeakers, and room. Sound System Engineering is an
excellent reference for maximizing system gain (see page 9 for reference).
12
TOA Electronics Speaker GuideSystem Applications
Background Music
Background music places different demands on a sound system than paging. Consider the following points when designing a background music system:
•Natural-sounding music reproduction requires a minimum frequency response range
of 100 Hz – 10 kHz that is wider than the basic speech range.
•Background music sources typically have limited dynamic range, and have a lower
peak volume requirement than foreground music or paging.
•Background music does not usually require the precise spectral balance and consistency of
coverage as speech; this allows wider speaker spacing in background music-only systems.
Foreground Music
Foreground music plays a more prominent role in the space’s primary function (i.e., music in
a bar or fitness center) than background music and is generally louder and more dynamic. The
special demands of foreground music include the following:
•At higher levels, the quality of the sound system is more noticeable. The frequency response range should be wider and distortion levels lower than a typical background
music system.
•Depending on the application and client taste, the bass response should extend down
to 60 Hz or lower, high frequency response to 16 kHz or higher.
•One or more subwoofers may be needed to provide additional bass output.
•The amplifier power and the sensitivity and power handling ratings of the speakers must
be adequate to reproduce the music’s peaks without distortion. This could mean using
five or even ten times more power than is used in a typical background music system.
See Power, Volume, and Decibels on page 17 for an overview of the relevant factors.
Voice/Music Combinations
Most installed sound systems are required to reproduce both speech and music. Therefore, they
must have both the smooth response and even coverage of a speech system and the wide frequency
range and continuous output capability of a music system. In a distributed speaker design,
this means using good quality speakers and relatively close spacing.
Presentation Audio
Sound for video and audio-visual presentations should be treated as a combination speech and
foreground music application. To reproduce sound effects (i.e., movie sound or attentiongetting AV presentations), amplifier power and speaker power handling should be adequate to
handle the highest program peaks.
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TOA Electronics Speaker Guide
Chapter 3: Speaker Types
There are four speaker types for distributed systems: ceiling, wall-mount, in-wall, and paging
horns. Subwoofers are also used in some systems to augment the bass. The following sections
discuss the characteristics and best uses for each type.
Ceiling Speakers
Figure 3-1 F-101C/M, F-121C/M ceiling speakers
Ceiling speakers distribute sound unobtrusively from a relatively low ceiling over a large floor
area. When installed with the proper spacing and sufficient amplifier power, a good quality
ceiling speaker provides uniform coverage and satisfactory frequency response for live speech
reinforcement and background music applications.
Wall-mount Speakers
Figure 3-2 BS-1030B/W wall-mount speaker
Wall-mount speakers, which are generally full-range, multi-way systems, are often well suited
for foreground music. They are also applicable if the ceiling is very high or is otherwise not
suitable for mounting speakers. Speakers may be mounted directly to the wall’s surface (i.e.,
TOA’s H series), or with a swivel bracket (F- and BS- series).
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TOA Electronics Speaker GuideSpeaker Types
In-wall Speakers
Figure 3-3 H-1 in-wall speaker
Installing the speaker inside a wall is unobtrusive and deters theft. However, installation can be
costly and proper aiming and positioning are often problematic. The TOA H-1 in-wall speaker
overcomes this obstacle by using rotating speaker elements to aim sound where it is needed.
Proper spacing is important, especially for speech intelligibility.
Paging Horns
Figure 3-4 SC Series paging horns
Paging horns can achieve a higher SPL than ceiling or wall speakers, but have limited frequency
response, lower sound quality, and higher distortion levels. They are seldom used for music applications but are commonly used outdoors where long sound projection distances are needed.
They are also used in noisy environments where high sound levels are required for intelligible
messages (i.e., large public spaces, warehouses, and factories). When properly aimed and installed, their controlled coverage and reduced low frequency output increases the direct sound
level and reduces low-frequency masking, which are significant advantages in large rooms. The
TOA SC Series wide-range paging horns offer a compromise between high output levels and
sound quality that is preferred for outdoor music applications.
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TOA Electronics Speaker GuideSpeaker Types
Subwoofers
Figure 3-5 FB-100 subwoofer (left) and HB-1 in-wall subwoofer
Distributed music systems are often faced with the challenges of delivering clear, high-fidelity
sound with enough power to overcome high ambient noise levels at an affordable price. Meeting these requirements has typically involved giving up good bass response because small
speakers cannot reproduce low frequencies at high levels. Since many contemporary musical
styles require powerful bass reproduction, adding a subwoofer is a cost-effective way to meet
this new demand.
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TOA Electronics Speaker Guide
Chapter 4: Audio Basics
The Decibel
The Bel, named in honor of Alexander Graham Bell, was originally defined as the loss of signal
level over one mile of telephone cable. A decibel is 1/10th of a Bel. Neither the Bel nor decibel
have an explicit level, but are specified as a logarithmic ratio.
Sound Pressure Level
Sound Pressure Level (SPL) is the acoustic pressure reference for the dB. The minimum
threshold of undamaged human hearing is considered to be 0 dB SPL. The threshold of pain
for undamaged human hearing is 120 dB SPL.
Power, Volume, and Decibels
Since the decibel is an expression of relative level change, it can be used to describe volume
levels in both the acoustical and electrical domains. 80 dB SPL refers to an acoustic volume
(loudness) level relative to the standard 0 dB reference. Changes in electrical power and voltage
can also be described in terms of the dB (see Sound System Engineering by Don and Carolyn
Davis for an in-depth discussion on the use of the decibel in sound system design). The following
rules of thumb will help properly utilize the decibel in speaker system design:
•A change of 2 dB SPL in overall volume is the smallest change perceptible to the
average listener.
•Increasing the volume by 3 dB requires doubling the amplifier power.
•Multiplying amplifier power by a factor of 10 increases SPL by 10 dB.
•Increasing the level by 10 dB SPL is perceived by a typical listener as doubling the volume.
•Voltage is not the same as power. Doubling voltage increases volume by 6 dB and multiplying voltage by 10 increases volume by 20 dB.
For the mathematically minded: The following equation converts power differences to volume
changes: level change in dB = 10 * log (P1/P2), where P1 and P2 are the power figures being
compared in Watts.
17
TOA Electronics Speaker GuideAudio Basics
Sensitivity Ratings and the Decibel
A speaker’s sensitivity is the on-axis loudness (dB SPL) measured at a specific distance that
results from applying a specific amount of power (i.e., 1 W @ 1 m). The output level of the
speaker at different power levels and distances can be calculated from this figure. For example:
If a speaker’s sensitivity is rated at 96 dB SPL with a 1 W input measured at 1 m from the
speaker, then doubling the power to 2 W raises the output 3 dB to 99 dB SPL at 1 m. Doubling
the power again to 4 W produces 102 dB SPL. For a discussion and examples of how to use
sensitivity ratings, see Chapter 5: Using Speaker Specifications.
Attenuation over Distance: Inverse Square Law
The inverse square law describes how sound attenuates over distance. It states that volume
(SPL) decreases 6 dB each time the distance from the sound source is doubled. This is due to
the diffusion of sound radiating from the sound source over a spherical area. As the radius of a
sphere is doubled, its surface area quadruples, effectively dividing the acoustical power by
four. This is consistent with the discussion above of power, volume, and the decibel: dividing
the power by 2 results in a 3 dB decrease in volume; dividing by 4 results in a 6 dB decrease.
For the mathematically minded: The following equation converts a change in distance to a
change in level for a spherically radiating source: level change in dB = 20 * log (D1/D2), where
D1 is the original distance and D2 is the new distance.
Speech Intelligibility, Acoustics, and Psychoacoustics
Speech intelligibility refers to the degree a listener can understand spoken words in a particular
space. It is important to clearly hear and differentiate consonant sounds. The two basic parameters
affecting intelligibility are the smoothness of the system frequency response curve in the
speech range (about 350 Hz – 5 kHz) and the effective signal-to-noise ratio of the system (noise
can include echoes, reverberation, distortion, and even out-of-band signals such as excessive
bass). Good frequency response depends on selecting high-quality speaker components and
locating and aiming them correctly. The following sections on masking effects and reverberation
cover some often overlooked factors that affect achieving a good signal-to-noise ratio.
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TOA Electronics Speaker GuideAudio Basics
Masking, Upward Masking, and the Haas Effect
Masking refers to one sound being obscured by another so it is unnoticed or indistinguishable
from the first sound. It is one of the main obstacles to speech intelligibility. Typical sound systems
include a number of potential sources of masking effects.
Background noise is the most obvious: the sound system’s normal operating level should be at
least 15–25 dB above the background noise level.
High distortion levels in amplifiers, speakers, or other sound system components, is another
possible source of masking. Excessive distortion is easily avoided by using high-quality
equipment and following industry guidelines for proper gain structure. For a definitive discussion of sound system gain structure, see Sound System Engineering.
Late reflections, or late-arriving sounds from distant speakers, can be especially troublesome
and can ruin both music quality and intelligibility. Good speaker layout avoids echoes from distant speakers. It is also important to properly place and aim speakers to avoid echoes from distant walls or other surfaces.
The Haas Effect refers to a characteristic of human hearing that perceives early reflections (i.e.,
from surfaces near the sound source or listener) as part of the original sound, while later reflections from more distant surfaces are perceived as discreet echoes. This characteristic can be
used to advantage in room and sound system design, but can also indicate conditions to avoid.
As a general rule, avoid strong reflections from surfaces more than 15 ft from either the sound
source or the listener. Field experience indicates that reflections from surfaces 7–10 ft from the
source or listener blend more smoothly with the direct sound. Very close reflections, within 4 ft
of the source or listener, cause audibly wide notches in frequency response due to phase cancellation and should be avoided or moderated using acoustically absorbent materials.
Upward masking refers to the characteristic of a sound to mask not only other sounds in the
same frequency range, but also sounds several octaves higher. This often overlooked aspect of
human hearing can result in a loss of intelligibility when the lower frequencies predominate in
a sound system—a common occurrence, especially with speakers with dispersion patterns that
get narrower with increasing frequency. For example, an eight-inch ceiling speaker is omnidirectional below 400 Hz, but has less than 60° coverage above 2 kHz, resulting in excessive
reflected and off-axis sound energy in the low frequencies.
Reverberation
Reverberation is another common source of masking-related intelligibility loss. Significant
reverberation occurs in a large room (i.e., church, gymnasium, or auditorium) where repeated
reflections merge into a seemingly continuous sound with a gradual rate of decay. Many installed sound systems are used in spaces where there is little or no significant reverberation. This
design guide is applicable in these situations. When designing a speech reinforcement system
for a large, reverberant room (RT60 > 2.5 s), we recommend consulting with a specialist in acoustical system design. More information on sound system designs for large rooms can be found
in Sound System Engineering, and in Handbook for Sound Engineers.
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TOA Electronics Speaker GuideAudio Basics
Equalization
Equalization, or EQ, is the process by which the amplitude of discrete frequency ranges is adjusted.
In distributed systems, EQ is most often used to compensate for speaker and room characteristics
but can also be used for aesthetic enhancement. Whether and how much equalization to use
depends on the performance standard and how the selected equipment performs in the acoustical space. Many applications do not require equalization. The benefits of using equalization
include improved speech intelligibility, enhanced sound quality due to a better spectral balance,
and increased gain without feedback. It is important to note that there is the potential for serious
problems if the equalizer is set by an unqualified operator or mistakenly reset (i.e., someone
cleans the unit and moves the faders). Security covers or dedicated preset equalizers can prevent
these problems.
TOA offers a range of equalizer modules for our 900 series amplifiers that are optimized for
specific H and F Series speakers. These cost-effective modules are preset and therefore tamperproof. For larger sound systems, TOA also makes 1/3-octave and dual, 2/3-octave rack-mount
equalizers, as well as a full-featured digital signal processing system that provides simultaneous equalization, delay, crossover, matrixing, and dynamics processing functions. For a
more detailed discussion of the use of equalizers, see Sound System Engineering (see page 9
for complete reference).
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TOA Electronics Speaker Guide
Chapter 5: Using Speaker Specifications
Determining Maximum Output: Sensitivity and Power
Handling
A thorough system design must establish the maximum SPL required from each speaker at a
given listening position. In general, a speaker should be able to produce a sustained longterm average level 15–25 dB higher than the background noise in its area. If the noise level
is less than 45 dB SPL, the speaker should be able to produce a long-term average level of
70 dB SPL in the listening area, with undistorted peaks 10–20 dB higher. As noted on page 18,
a speaker’s rated sensitivity is the on-axis loudness (dB SPL) measured at a specific distance
that results from applying a specific amount of power (i.e., 1 W @ 1 m). The sensitivity may
be used to calculate loudness at other distances and power levels. Three specifications are required to calculate the maximum SPL capability of a speaker in its environment:
•The speaker/transformer’s maximum continuous power rating, or the available
amplifier power;
•The speaker’s sensitivity rating (dB SPL @ 1 m on-axis with 1 W input);
•The distance between the listener and the speaker.
Using these three specifications, the maximum on-axis output can be calculated (the formulas
for decibels gained with power and decibels lost with distance are presented in Chapter 4:
Audio Basics). Since the formulas use the log function and require a scientific calculator,
simplified charts (Figure 5-1 and Figure 5-2) are included here for convenience.
Example: A paging horn in an outdoor area needs to reach an average level of 90 dB SPL at
80 ft from the horn. A 30 W model is selected with a sensitivity of 112 dB, 1 W @
1 m. To allow for short-term transients, 6 dB of headroom is added to the average
level requirement, yielding a target level of 96 dB SPL.
Question: How much power is needed to reach the target level?
The rated sensitivity is 112 dB SPL, with 1 W @ 1 m. Use the chart for level change with
distance (Figure 5-1) to see how much the level is reduced at 80 ft compared to the reference distance of 1 m (answer: 27.7 dB, or about 28 dB). This tells us that 1 W sensitivity at 80 ft is 112 – 28 = 84 dB SPL. This is 12 dB less than the target level of 96 dB. Use
the chart for level change with power (Figure 5-2) to find the power required to increase
the level 12 dB (answer: about 16 W).
21
TOA Electronics Speaker GuideUsing Speaker Specifications
Question: What is the maximum long-term average output capability of the speaker at 80 ft?
The rated long-term average power handling is 30 W. Use the chart for level change with
power input (Figure 5-2) to find that our maximum output with 30 W at the reference distance
of 1 m is approximately 127 dB SPL (112 + 15 dB). Use the chart for level change with
distance (Figure 5-1) to see that at 80 ft, our maximum output will be approximately 99 dB
SPL (127 – 28 dB). This gives 9 dB of headroom above the target level.
Distance
3.82 ft.
1 m
1
0
2345
Attenuation (dB)
Decibels (dB)
1
0
1
2345
2
Watts (W)
2 m
6
6
4
10 ft.
4 m
9
Figure 5-1 Level change with distance
9
8
12
12
1632
10 W
(10 dB)
20 ft.
8 m
1518
1518
64
100 W
(20 dB)
40 ft.
16 m32 m
21
21
24
24
128256
80 ft.
27
27
512
30
30
1024
Figure 5-2 Level change with power
22
TOA Electronics Speaker GuideUsing Speaker Specifications
Coverage Angle
The coverage angle of a speaker is the angle within which the SPL is no more than 6 dB below
the normalized on-axis level for a given bandwidth or frequency center. The desired coverage
angle for a speaker depends on its role in the system, the number and spacing of speakers, and
the acoustical environment. Typically, distributed speaker systems and background music systems
need medium to wide dispersion speakers (coverage angle ≥ 60°). If the speakers are close to
the listeners, for example in a low-ceiling room or pew-back speakers in a church, then wide
dispersion is especially desirable (coverage angle ≥ 100°). Nominal coverage angle ratings of
TOA speaker models are listed in Chapter 8: Speaker Application Tables. Polar plots depicting
the coverage angle at standard frequency bands are found on our speaker specification sheets,
which may be downloaded at www.toaelectronics.com.
Frequency Response
Frequency response refers to the frequency range over which the speaker responds, usually with
a tolerance range for level variation. For example, a frequency response rating of 35 Hz – 18 kHz
±3 dB is typical of a professional studio monitor. The rating means that with constant input at
all frequencies, the output over the stated frequency range will fall within a 6 dB window (3 dB
above and below 0 dB) of variation. In general, a wider frequency response range indicates
higher fidelity sound reproduction. However, restricting the frequency range (i.e., switching on
the low-cut filter) can be an advantage in installed sound systems in order to:
•Avoid upward masking of consonants by low frequency energy, especially in reverberant
spaces.
•Increase system headroom and avoid distortion at high levels.
•Maximize the overall system performance/cost ratio.
The following approximate frequency response guidelines are for specific applications and
environments:
•Speech-only paging system (with or without emergency signaling) for a noisy environment: 350 Hz – 5 kHz
•Speech-only indoor environment: 120 Hz – 10 kHz
•Low-level background music: 100 Hz – 10 kHz
•Foreground music, high-quality background music and audio-visual applications: 80 Hz
or lower – 16 kHz or higher. Achieving the desired low-frequency response may require
a subwoofer in addition to high-quality main speakers.
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TOA Electronics Speaker Guide
Chapter 6: Layout and Spacing for Distributed
Speaker Systems
Many installed speaker systems use a distributed sound design, which means that there are
evenly spaced speakers spread throughout the venue, each covering a specific area. These
speakers may be mounted in the ceiling, in or on the walls, or on columns or poles or other
available structures. There are a number of possible approaches in laying out the speakers, or
determining their placement in the room. Of course, the type of installation (ceiling, wall, etc.)
must be known before deciding on a layout pattern.
Ceiling Speakers
Two key decisions guide the placement, or layout, of speakers in a ceiling speaker system:
•Speaker spacing;
•Layout pattern type (square or hexagonal).
The most important factors to consider when making these decisions are the speaker coverage
area, the evenness of coverage desired, and the client’s budget.
Speaker Coverage Area
In most cases, determining the area covered by a ceiling speaker involves projecting the speaker’s (conical) coverage angle out to the distance between the speaker and the listener, and calculating the area of the resulting circle. Remember to account for the height of the listener in
calculating the effective ceiling height. The wider the coverage angle, the larger the coverage
area, the fewer speakers needed for the same evenness of coverage. Coverage areas for all of
TOA’s ceiling-mount speaker models are listed beginning on page 36 in Chapter 8: Speaker
Application Tables.
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TOA Electronics Speaker GuideLayout and Spacing for Distributed Speaker Systems
Speaker
Ceiling
Coverage
angle
Ceiling
height (h)
Ear
height (l)
Floor
Figure 6-1 Ceiling speaker coverage area
The speaker’s dispersion characteristics affect not only the required spacing and number of
speakers, but also the overall sound quality and performance of the system. Large speaker
cones (for example, an 8-inch full-range ceiling speaker) tend to produce narrow coverage angles
in the high frequencies (called beaming), which cause dead spots between speakers unless they
are spaced very closely together. Regardless of the speaker spacing, their overall diffuse-field
output will still be lower in the high frequencies compared to their on-axis performance, leading
to a dull sound in most of the listening area. TOA’s F Series wide dispersion ceiling speakers
include features engineered to avoid this common problem, resulting in higher sound quality
throughout the listening area.
Coverage Area and Ceiling Height
As the ceiling height increases, the area a speaker can cover increases, but the power required
to reach the same volume at the listener’s position also increases. If the ceiling is very high (i.e.,
over 20 ft) some speakers may not be able to handle the power required for that distance. For
ceiling heights greater than about 25 ft, consider alternatives such as mounting speakers on
columns and walls, or suspending them below the ceiling, to get them closer to the listeners.
Low ceilings are also challenging: for a ceiling lower than 12 ft, use a speaker with a coverage
angle of 120° or greater.
Coverage Density vs. Budget
Once the coverage area per speaker is known, the next step is to decide how much overlap is
needed between speakers. In distributed systems, higher density, or closer spacing of the
speakers, provides more consistent coverage. If the speakers are spread too far, large portions
of the listening area may suffer from inadequate volume and poor sound quality. The only
downside of close spacing is cost. Balancing coverage density versus system cost is ultimately a
subjective decision, but the information that follows can be a useful guide.
25
TOA Electronics Speaker GuideLayout and Spacing for Distributed Speaker Systems
Layout Patterns
Square and hexagonal patterns are the layouts most commonly used in ceiling speaker systems.
The choice of pattern depends on the best fit between speakers and room dimensions. The
square pattern may also be rotated 45° or as needed to fit the shape of the room.
Speaker Spacing
Three standard speaker spacing methods are commonly employed in distributed systems. The
spacing distance is based on the radius of the coverage area, and how much adjacent speakers
should overlap. The amount of overlap determines the consistency of sound coverage: more
overlap means more consistent loudness and sound quality. Standard spacing distances for all
of TOA’s ceiling speaker models are listed in Chapter 8: Speaker Application Tables.
No Overlap (spacing distance = 2r, where r is the radius of the speaker’s coverage area): The
coverage area of each speaker meets but does not overlap the coverage of adjacent speakers
(Figure 6-2). This spacing will leave some gaps in coverage. It is used for low-cost background
music and paging systems.
Figure 6-2 Speaker coverage with no overlap: hexagonal (left), square (right)
Minimum Overlap (spacing distance = for square pattern, for hex pattern): The
r2r3
coverage of each speaker overlaps adjacent speakers just enough to avoid any gaps in coverage,
but no more (Figure 6-3). Minimum overlap performs much better than no overlap. The spacing
depends on whether the speakers are in a square or hexagonal pattern.
TOA Electronics Speaker GuideLayout and Spacing for Distributed Speaker Systems
Edge-to-Center (also called center-to-center; spacing distance = radius of the coverage area):
The edge of each speaker’s coverage area meets the center of adjacent speakers’ coverage areas
(Figure 6-4). This is the highest speaker density commonly used in distributed systems and
gives the best performance. Where the room acoustics are poor or background noise is high,
this spacing may be required for intelligible speech.
TOA Electronics Speaker GuideLayout and Spacing for Distributed Speaker Systems
Wall-Mount Speakers
NOTE:Before considering a wall-mount installation, determine whether the construction will
support the speakers and that the mounting hardware can be installed properly.
The factors guiding the layout of wall-mount speakers are the same as for ceiling speakers: The
area covered by each speaker, the evenness of coverage desired, and the client’s budget. Calculating the coverage area, however, is more complex and less precise. In addition, the spacing
is controlled by the designer only in one plane (along the wall), unless you have the luxury of
specifying room dimensions in the sound system design. Aiming and setting the speaker’s
height is important and is guided by the room dimensions, especially the distance to the opposite wall (or to the farthest listeners).
Speaker Coverage Area
An approximate value for the coverage area of a speaker mounted to the wall and aimed at an
off-angle to the floor can be obtained by projecting two triangles from the speaker to the listening plane, representing the horizontal and vertical coverage. In most instances, only half the
rated vertical coverage angle should be used, with the speaker’s central axis aimed at the farthest point to be covered. This results in a triangular coverage pattern that closely approximates
the sound distribution from a wall-mounted speaker. It is important to bear in mind the effect
of distance as well as speaker dispersion when calculating coverage. In the horizontal plane,
the width of the coverage area is affected by the added distance from the speaker when moving
off-axis along a line perpendicular to the coverage axis. The effective coverage angle is thus
narrower than the speaker’s rated coverage angle for purposes of calculating the coverage area
and the spacing. In the vertical plane (or near-to-far), the depth of the coverage area is affected
by the increasing proximity as the listener moves under the speaker. Thus, the effective vertical
coverage is greater than the rated vertical coverage angle. Coverage areas for all of TOA’s
wall-mount speaker models are listed in Chapter 8: Speaker Application Tables.
Speaker
height (h)
Figure 6-5 Wall-mount speaker coverage area
Ceiling
Coverage angle
(adjusted for distance)
Wall
Floor
28
Ear
height (l)
TOA Electronics Speaker GuideLayout and Spacing for Distributed Speaker Systems
Speaker Spacing and Layout Pattern
Because of the triangular shape of the coverage area, wall-mount speakers work best when
placed on facing walls and staggered so that each speaker is aimed at a point mid-way between
two speakers on the opposite wall, at about ear level. The best spacing between speakers depends
on their height and distance to the opposite wall. This is because the width of the triangular
coverage area is proportional to its depth. Recommended spacings for all of TOA’s wall-mount
speaker models are listed in Chapter 8: Speaker Application Tables.
Subwoofers
To calculate the number of subwoofers needed, determine the maximum rated output of a
single subwoofer (see The Decibel on page 17, and Determining Maximum Output: Sensitivity and Power Handling on page 21), and add a placement factor to this value (see below). Then add
subwoofers until this level is 6–9 dB higher than the main speakers. To increase the distributed
subwoofer level by 3 dB, double the number of subwoofers and the total power driving them.
Placement Factor: The placement of the subwoofers with respect to walls, floors, and other
hard boundaries affects the system amplitude response. Compared to a subwoofer suspended
in free air, a subwoofer next to one rigid wall increases its output 3–6 dB with the same power
input, depending how close it is to the wall (the closer the better). A subwoofer located in a
junction between two boundaries (two walls, one wall and floor or ceiling) increases its output
6–9 dB. A subwoofer located in the junction between three boundaries (two walls and the floor
or ceiling) increases its output 9–15 dB (equivalent to increasing the input power by a factor of
8–30). Note the conditions under which the subwoofer was rated (i.e., half-space, which means
against, or built into, one boundary), and when calculating maximum output, factor in the
speaker placement in comparison to the measurement condition. For example, if the speaker
was measured under half-space conditions, but will be used on the floor in a corner, then add
6–9 dB to the speaker’s maximum output level.
Fraction-space loading can be described in greater detail as follows:
The maximum SPL of a subwoofer is increased by placing it against one or more boundaries. This
effect, known as bass or fraction-space loading, begins to occur when the speaker is within 1/8
wavelength at a given frequency from the boundary, and increases the output 3–6 dB (depending on the actual distance) for each boundary. For example, at 100 Hz (wavelength = 11.3 ft),
with the subwoofer positioned 2.825 ft from the floor, the level will be 3 dB higher than a subwoofer
suspended in free air. A subwoofer flush-mounted onto the floor or a large wall (known as half-space loading) has a level 6 dB higher than if it were suspended in free air. Each additional boundary
increases the output 3–6 dB. For example, placing the subwoofer at the junction of two boundaries (quarter-space loading) adds 6–12 dB; three boundaries (eighth-space loading) increases
the output 9–15 dB. These boundaries must be massive and rigid enough to contain the wave front
without flexing. Thin materials, such as curtains or temporary walls, will not produce this effect. The
surfaces must be large enough to support the wavelength of the relevant frequencies; at least one
wavelength of surface dimension is required to gain the full 6 dB increase.
29
TOA Electronics Speaker Guide
Chapter 7: Amplifier Selection
Direct Connection or Constant Voltage
Installed sound systems commonly use either a direct connection (also called low impedance)
or constant voltage (also called high impedance) amplifier/speaker interface. Direct connection
to a low impedance amplifier allows up to two 8 Ω speakers to be safely driven without resorting
to series-parallel wiring, which is inadvisable in most situations. To connect more than two speakers
per amplifier channel, most distributed speaker systems use the constant voltage method.
Constant voltage speaker lines (i.e., 70.7 or 25 V) do not actually have constant voltage on
them. Their line impedance is varied using transformers to achieve the same theoretical maximum
voltage in any system. This approach makes it simple to design and scale systems as needed.
Each system uses a step-up transformer on the output of the amplifier to raise its source impedance, and step-down transformers on each speaker to raise their load impedance. The speaker
transformer load impedances are given in Watts (based on the rated line voltage) instead of
Ohms, to simplify system set-up. In addition to making system design and expansion easier,
constant voltage lines also dramatically reduce speaker cable costs, especially in large systems,
by reducing the required thickness of cable for a given distance run. The following sections
demonstrate the design of constant voltage systems.
Power Requirements
NOTE:The term L
Once the number and placement of speakers is decided, calculate the required amplifier power.
First, calculate the power required per speaker using the following steps:
1.Determine the L
adding 6–10 dB above the expected operating level.
2.Find the speaker’s sensitivity rating (SPL, 1 W @ 1 m) from the specifications list
Chapter 8: Speaker Application Tables.
3.Use the chart for attenuation over distance (see Figure 5-1 on page 22), find the speaker’s level at the listener with an input of 1 W (Lw) as follows: In the top half of the
chart, find the distance from speaker to listener, then read the amount of attenuation
(dB) from the bottom half of the chart. Subtract this amount from the sensitivity rating
to get the level at the listener with 1 W input (Lw).
4.Subtract Lw from L
ference is negative, it is safe to assume that dBW is zero.
will be used denote required level.
req
including headroom for program peaks. Headroom is included by
req
to obtain the level increase needed above 1 W (dBW). If the dif-
req
30
TOA Electronics Speaker GuideAmplifier Selection
5.Use the top half of the chart for level change with power input (see Figure 5-2 on page
22) to locate the point corresponding to the required level increase, or dBW. Next, read
the power level from the bottom half of the chart. Then, using the speaker’s specifications,
select the speaker’s smallest wattage tap that is greater than the power level indicated
on the chart. This is the minimum power you need for each speaker.
6.After determining the power needed for each speaker, add them up to get the total
speaker Wattage.
To allow for variations in transformer characteristics, it is a good practice to select an amplifier
whose rated output is at least 120% of the speaker Wattage total. If the speakers are connected
directly (in a 4 or 8 Ω system), the amplifier size should be at least equal to the speaker Wattage
total.
Subwoofer Power Requirements
To get full value from subwoofers, we recommend supplying them with as much power as they
can safely handle. The maximum continuous pink noise power rating is a good indicator of the
minimum power to provide for a subwoofer. This amount can be doubled if the added power
falls within budget. The subwoofer’s maximum program (sometimes called peak) rating typically
indicates the maximum power you should provide. Due to the nature of low frequency program
material, there is much room for error in any general guidelines for subwoofers. The best method
to insure the amplifier and subwoofer are matched is to listen to them together, using the same
speaker location and program material that will be used in the final job.
Examples
High-Quality Paging System
A workspace needs reliable and intelligible paging in all areas, for both standing and seated
listeners. The room is 30 x 40 ft with a 10 ft ceiling. TOA model F-121CM speakers are selected
for their wide dispersion.
From the F-121CM’s coverage and spacing table (page 37), we first refer to the row corresponding to the ceiling height for standing listeners (4 ft above listener height; h - l = 4). The
spacing recommendations for this height range from 7–14 ft, depending on the desired uniformity of coverage. Using a square pattern with minimum overlap, the spacing between speakers
is 10 ft, which works out to three rows of four speakers (12 speakers total).
Since the workspace will have a minimal noise level, the target operating level is set slightly
above the base level (75 dB) for paging, at 78 dB, with 10 dB of headroom, for a L
The F-121CM has a rated sensitivity of 90 dB, 1 W @ 1 m. The typical seated listener will be
about 7–8 feet away from the nearest speaker. Using the attenuation with distance chart (see
Figure 5-1 on page 22), this provides 82 dB with 1 W at the listener.
of 88 dB.
req
31
TOA Electronics Speaker GuideAmplifier Selection
Using the level change with power input chart (see Figure 5-2 on page 22), we see that 4 W per
speaker provides the 6 dB needed to reach the L
. The speaker’s smallest available transformer
req
tap above 4 W is 5 W. Add the speakers at 5 W each to yield a total of 60 W. Multiply by 1.2
(120%) to get the minimum amplifier power: 72 W.
Outdoor Paging System
Paging is needed in an outdoor area. The area is 100 x 200 ft (20,000 sq. ft), and the speakers
will be mounted on poles along the center of the area (200 ft). TOA model SC-615T is selected
for its high efficiency and wide area coverage.
From the coverage depth column of the SC-615T coverage and spacing table (page 53), we see
that mounting a speaker 10 ft above the listener’s ear level and aiming it down by 10° results
in a coverage area that extends 57 ft from the base of the speaker’s mounting surface. This positioning allows reaching the edges of our outdoor area from poles along the center line.
When mounted 10 ft above ear level (approx. 16 ft high), the rated coverage area of the SC-615T
is 1713 sq. ft, suggesting that 12 horns are needed to cover the space smoothly. Ideally, the
horns should be mounted on the central poles, back-to-back, aiming outward.
Assume the measured noise levels in this outdoor setting are 70 dB (A-weighted). The operating level should be 90 dB, with 6–10 dB headroom, for a L
of 96–100 dB.
req
From the SC-615Tcoverage and spacing table (page 53), we see that when mounted 10 ft above
ear level and aimed down 10°, it delivers 99 dB SPL to the farthest on-axis listener, at 57 ft
from the base of the speaker’s mounting surface. This is based on operation at the maximum
transformer tap of 15 W, and is within our target range. Adding 12 speakers at 15 W yields a
speaker total of 180 W. Multiply by 1.2 (120%) for a minimum amplifier rating of 216 W.
To economize, we could lower the operating level to 96 dB. Using the level change with power
input chart (see Figure 5-2 on page 22), we see that a drop of 3 dB reduces the power requirement by a factor of 2, for a minimum amplifier power of 108 W. Since this brings our headroom
down to 6 dB, it is wise to use a paging mic input with built-in compression. This is a good idea
for any paging system in noisy environments, but especially when headroom is limited. The
TOA model M-61S input module performs this function when used with a 900 Series mixer or
mixer/amplifier.
32
TOA Electronics Speaker GuideAmplifier Selection
High-Quality Multi-Purpose System
A multi-purpose room needs high-quality sound for video and A/V presentations, speech reinforcement, and background music for company functions. The room is 40 x 80 ft with a 12 ft
ceiling. TOA model F-121CM speakers are selected for their ability to meet the wide-ranging
requirements.
From the F-121CM’s coverage and spacing table (page 37), we see that spacing recommendations range from 10–21 ft for standing listeners (h – l = 6 ft.) and 14–28 ft for seated listeners
(h – l = 8 ft). Selecting a square pattern and spacing the speakers at 20 ft intervals puts us within
both ranges and allows a simple layout of two rows of four speakers (8 total).
To deliver convincing, distortion-free movie sound, the system should be designed for a maximum average level of 85 dB at the listeners, with 10 dB of headroom for transient peaks, for
a L
of 95 dB.
req
The F-121CM has a rated sensitivity of 90 dB, 1 W @ 1 m. Using the attenuation with distance
chart (see Figure 5-1 on page 22), we find that this gives us 82 dB with 1 W at the listener.
Using the level change with power input chart (see Figure 5-2 on page 22), we see that 20 W
per speaker provides the 13 dB to reach the L
. Adding them up yields a speaker total of
req
160 W. Multiply by 1.2 (120%) to yield the minimum amplifier power: 192 W.
33
TOA Electronics Speaker Guide
Chapter 8: Speaker Application Tables
How to Use This Section
This section is intended to serve as a quick reference to speed and ease system design. Keep in
mind the following points to ensure best use of the tables.
All Speakers
Speaker height is relative to listener height. If the value for Height Above Listener is 2, that
means the speakers are placed 2 ft above the expected ear level of the listeners.
Coverage Area and Spacing recommendations are based on an adjusted estimate of coverage
(averaged over the frequency range 1–4 kHz) that accounts for both speaker dispersion and listener distance relative to the speaker. This may make the numbers appear smaller than those
found in other design guides but they will more accurately reflect real-world performance.
Maximum On-Axis SPL figures are based on operation at the highest transformer tap. Pink
noise power capacity is used for speakers without transformers.
Ceiling Speakers
Spacing recommendations for ceiling speakers are based on the radius of the adjusted coverage
area (as described in Sound System Engineering) except that in this guide, the term Edge to Center
is used to describe the condition when the edge of one speaker’s coverage overlaps up to the
center of the next speaker’s coverage (center to center spacing in Sound System Engineering).
Speaker
Ceiling
Coverage
angle
Ceiling
height (h)
Ear
height (l)
Floor
34
TOA Electronics Speaker GuideSpeaker Application Tables
Wall-mount Speakers
Spacing recommendations for wall-mounted speakers will vary dramatically depending on the
height and aiming of the speakers, whether there is a facing wall, and how far away it is. When
there is a facing wall up to 30 ft away, speakers should be staggered: speakers on one wall
should be located and aimed mid-way between those on the opposite wall. If the facing wall is
more than 30 ft away, we recommend using ceiling or other speakers to cover the center of the
room to avoid echoes that degrade intelligibility. In outdoor areas, it is best to place speakers
back-to-back, aimed outward when broad coverage is needed.
Ceiling
Speaker
Coverage angle
(adjusted for distance)
height (h)
Ear
Wall
height (l)
Floor
Downward Tilt refers to the number of degrees below horizontal the speaker is aimed.
Coverage Area is a very conservative estimate of the triangular area within which coverage will
not vary more than ±3 dB (±4 dB where the downward tilt is 10°, due to the effects of distance),
when averaged over the frequency range of 1–4 kHz.
Coverage Depth refers to the minimum, or perpendicular, distance between the far limit of the
coverage area and the wall or surface that the speaker is mounted on. For best coverage, listeners should be no farther from the wall (pole, etc.) than this.
Maximum Spacing for Rated Coverage Depth: This number is equal to the width of the triangular coverage area at its wide end. The coverage area is this wide when the farthest listeners
are a distance from the base of the speaker’s mounting surface equal to the value of Coverage Depth. For example, if the Coverage Depth is 20 ft, and the Edge to Edge Spacing is 25 ft, then
the far left corner of one speaker’s coverage meets the far right corner of another speaker’s coverage at a point 20 ft perpendicular from the wall on which the speakers are mounted. Maximum spacing should only be used indoors, when speakers are placed on two facing walls, and
when the distance between the walls is approximately equal to the rated Coverage Depth. Closer spacing is needed if the walls are closer than the rated Coverage Depth.
35
TOA Electronics Speaker GuideSpeaker Application Tables
Ceiling-mount Speakers
F-101C/M
F-101C/M Specifications
Coverage Angle120º H x 120º V
Frequency Response
Sensitivity (1 W / 1 m)90 dB
Power Handling
Tran sformer Taps
(F-101CM only)
Components4.7" driver
Installation Accessories
(optional)
F-101C/M Coverage And Spacing
Height
Above
Listener
h-l (ft)
213233 4107
328345 6104
Coverage
Area (sq. ft)
Edge to Center
Overlap
Min. Overlap
(square)
Spacing (ft)
80 Hz – 18 kHz
F-101CM: 20 W transformer
F-101C: 40 W pink noise
70.7/100 V: 1, 3, 5, 10, 20 W
TBF-100 Tile Bridge, BBF-100 Back Box
Min. Overlap
(hex)
No
Overlap
Max. OnAxis SPL
450467 8101
579579 1099
611368101298
820181114 1695
103141014172093
124521217212492
146161420242890
168041623283289
1810181825313688
2012572028354087
36
TOA Electronics Speaker GuideSpeaker Application Tables
F-121C/M
F-121C/M Specifications
Coverage Anglehemispherical
Frequency Response80 Hz – 18 kHz
Sensitivity (1 W / 1 m)90 dB
Power Handling
Tran sformer Tap
(F-121CM only)
Components4.7" driver with diffuser cone
Installation Accessories
(optional)
900 Series Equalizer Module E-03R module or AC-120 stand-alone EQ
F-121C/M Coverage And Spacing
Height
Above
Listener
h-l (ft)
238356 7107
385579 10104
41517101214101
Coverage
Area (sq.
ft)
Edge to Center
Overlap
Min. Overlap
(square)
Spacing (ft)
F-121CM: 20 W transformer
F-121C: 40 W pink noise
70.7/100 V: 1, 3, 5, 10, 20 W
TBF-100 Tile Bridge, BBF-100 Back Box
Min. Overlap
(hex)
No
Overlap
Max. OnAxis SPL
523691215 1799
63391015182198
86031420242895
109421724303593
1213572129364292
1418472434424890
1624132839485589
1830543144546288
2037703549606987
37
TOA Electronics Speaker GuideSpeaker Application Tables
PC-671R/RV
PC-671R/RV Specifications
Coverage Angle65º H x 65º V
Frequency Response90 Hz – 16 kHz
Sensitivity (1 W / 1 m)96 dB
Power Handling6 W pink noise
Transformer Taps25/70.7 V: 0.5, 1, 2, 3, and 6 W
Components8" driver
PC-671R/RV Coverage And Spacing
Height
Above
Listener
h-l (ft)
25122 3108
311233 4 105
420344 5 102
532356 6 100
646457 8 99
882579 10 96
1012869111394
12184811131593
14250913151891
163261014182090
184131116202389
205101318222588
Coverage
Area (sq. ft)
Edge to Center
Overlap
Min. Overlap
(square)
Spacing (ft)
Min. Overlap
(hex)
No
Overlap
Max. On-
Axis SPL
38
TOA Electronics Speaker GuideSpeaker Application Tables
Six rigging points on enclosure
(mounting hardware supplied by others).
Mounting hardware included
(see installation manual for details)
HY-H1 Wall-Mount Bracket also available separately for pre-construction (included w/ H-1).
Note: Also fits RACO 953 gang-box, supplied by others,
not required for installation.
Mounting hardware included
(see installation manual for details)
Mounting hardware included
(see installation manual for details)
Mounting hardware included
(see installation manual for details)
E-03R900 Series EQ Module
AC-120Dual Channel Rack-Mount Processor
E-07S 900 Series Low-Pass-Filter Module
MT-S0601 Matching Transformer
E-04R 900 Series EQ Module
E-05R 900 Series EQ Module
E-06R 900 Series EQ Module
E-07S 900 Series Low Pass-Filter Module
MT-S0601 Matching Transformer