Application Information (Continued)
decrease in feedback thus not allowing the amplifier to respond as quickly to nonlinearities. This decreased ability to
respond to nonlinearities increases the THD + N specification.
The desired input impedance is set by R
IN
. Very high values
can cause board layout problems and DC offsets at the output. The value for the feedback resistance, R
f1
, should be
chosen to be a relatively large value (10 kΩ–100 kΩ), and
the other feedback resistance, Ri, is calculated using standard op amp configuration gain equations. Most audio amplifiers are designed from the non-inverting amplifier configuration.
DESIGN A 40W/8Ω AUDIO AMPLIFIER
Given:
Power Output 40W
Load Impedance 8Ω
Input Level 1V
(max)
Input Impedance 100 kΩ
Bandwidth 20 Hz–20 kHz
±
0.25 dB
Equations (5), (6)
give:
40W/8Ω V
opeak
=
25.3V I
opeak
=
3.16A
Therefore the supply required is:
±
30.3V@3.16A
With 15%regulation and high line the final supply voltage is
±
38.3V using
Equation (7)
. At this point it is a good idea to
check thePower Output vs SupplyVoltage to ensure that the
required output power is obtainable from the device while
maintaining low THD + N. It is also good to check the Power
Dissipation vs Supply Voltage to ensure that the device can
handle the internal power dissipation. At the same time designing in a relatively practical sized heat sink with a low
thermal resistance is also important. Refer to Typical Per-
formance Characteristics graphs and the Thermal Considerations section for more information.
The minimum gain from
Equation (8)
is: AV≥ 18
We select a gain of 21 (Non-Inverting Amplifier); resulting in
a sensitivity of 894 mV.
Letting R
IN
equal 100 kΩ gives the required input impedance, however, this would eliminate the “volume control” unless an additional input impedance was placed in series with
the 10 kΩ potentiometer that is depicted in
Figure 1
. Adding
the additional 100 kΩ resistor would ensure the minimum required input impedance.
For low DC offsets at the output we let R
f1
=
100 kΩ. Solving
for Ri (Non-Inverting Amplifier) gives the following:
Ri=R
f1
/(AV−1)=100k/(21 − 1)=5kΩ; use 5.1 kΩ
The bandwidth requirement must be stated as a pole, i.e.,
the 3 dB frequency. Five times away from a pole give
0.17 dB down, which is better than the required 0.25 dB.
Therefore:
f
L
=
20 Hz/5=4Hz
f
H
=
20 kHz x 5=100 kHz
At this point, it is a good idea to ensure that the Gain Bandwidth Product for the part will provide the designed gain out
to the upper 3 dB point of 100 kHz. This is why the minimum
GBWP of the LM3875 is important.
GBWP=A
V
xf3dB=21 x 100 kHz=2.1 MHz
GBWP=2.0 MHz (min) for LM3875
Solving for the low frequency roll-off capacitor, Ci, we have:
Ci
>
1/(2π Ri fL)=7.8 µF; use 10 µF.
Definition of Terms
Input Offset Voltage: The absolute value of the voltage
which must be applied between the input terminals through
two equal resistances to obtain zero output voltage and current.
Input Bias Current: The absolute value of the average of
the two input currents with the output voltage and current at
zero.
Input Offset Current: The absolute value of the difference
in the two input currents with the output voltage and current
at zero.
Input Common-Mode Voltage Range (or Input Voltage
Range): The range of voltages on the input terminals for
which the amplifier is operational. Note that the specifications are not guaranteed over the full common-mode voltage
range unless specifically stated.
Common-Mode Rejection: The ratio of the input
common-mode voltage range to the peak-to-peak change in
input offset voltage over this range.
Power Supply Rejection: The ratio of the change in input
offset voltage to the change in power supply voltages producing it.
Quiescent Supply Current: The current required from the
power supply to operate the amplifier with no load and the
output voltage and current at zero.
Slew Rate: The internally limited rate of change in output
voltage with a large amplitude step function applied to the input.
Class B Amplifier: The most common type of audio power
amplifier that consists of two output devices each of which
conducts for 180˚ of the input cycle. The LM3875 is a
Quasi-AB type amplifier.
Crossover Distortion: Distortion caused in the output stage
of a class B amplifier. It can result from inadequate bias current providing a dead zone where the output does not respond to the input as the input cycle goes through its zero
crossing point. Also for ICs an inadequate frequency response of the output PNP device can cause a turn-on delay
giving crossover distortion on the negative going transistion
through zero crossing at the higher audio frequencies.
THD+N:Total Harmonic Distortion plus Noise refers to the
measurement technique in which the fundamental component is removed by a bandreject (notch) filter and all remaining energy is measured including harmonics and noise.
Signal-to-Noise Ratio: The ratio of a system’s output signal
level to the system’s output noise level obtained in the absence of a signal. The output reference signal is either specified or measured at a specified distortion level.
Continuous Average Output Power: The minimum sine
wave continuous average power output in watts (or dBW)
that can be delivered into the rated load, over the rated
bandwidth, at the rated maximum total harmonic distortion.
Music Power: A measurement of the peak output power capability of an amplifier with either a signal duration sufficiently short that the amplifier power supply does not sag
during the measurement, or when high quality external
power supplies are used. This measurement (an IHF standard) assumes that with normal music program material the
amplifier power supplies will sag insignificantly.
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