Analog Devices EE168 Application Notes

Engineer To Engineer Note EE-168
Technical Notes on using Analog Devices' DSP components and development tools
a
Using Third Overtone Crystals with the ADSP-218x DSP
Contact our technical support by phone: (800) ANALOG-D or e-mail: dsp.support@analog.com Or visit our on-line resources http://www.analog.com/dsp
and http://www.analog.com/dsp/EZAnswers
rd
OT crystal has a lower activity, (i.e.
For these reasons, extra care should be
rd
OT crystal oscillators
Note that there is often no indication,
rd
OT operation verses
rd
OT operation.

Introduction

DSPs frequently require an input clock frequency (CLKIN) that is over 35MHz. Unfortunately fundamental mode crystals over 35MHz are not popular and tend to be expensive and fragile. Packaged clock oscillators cost considerably more than a crystal so, for some applications, using a 3 may be a sensible choice.
While the current trend is to incorporate PLL frequency multiplication into the DSP, using a low frequency input clock to generate internal core clocks of several hundred MHz, there are still occasions when it might be useful to consider using a 3
This note discusses using readily available 3
rd
overtone crystals, at frequencies
over 35MHz, with the ADSP-218x family of
rd
overtone (3
rd
OT crystal.
rd
OT) crystal
Second, a 3 requires a higher minimum drive level to start reliably).
taken when designing 3 and careful testing should be performed over temperature, voltage and with a representative batch of crystals to ensure that all parts operate reliably.
marked on the crystal package, to show that a crystal is intended for 3 fundamental mode operation. Care should be taken to determine this information. If a crystal is used in a traditional (two capacitor fundamental mode circuit) appears to be oscillating at approximately one third of the frequency marked on it’s package, it is very likely that it is intended for 3
DSPs. A design procedure is developed for calculating the optimum values for the support components. This procedure can be extended to CODECs and other applications requiring input clocks over 35MHz.

Design Method

When a 3rd OT crystal is chosen, two additional circuit components must the traditional parallel, or fundamental mode
be added to
circuit, to force oscillation at the overtone

Cautionary Note

There are a number of cautions that should be noted when deciding to use a 3 crystal oscillator.
First, a 3
rd
OT crystal normally has a
higher ESR, typically more than twice that of a
rd
OT
frequency marked on the crystal. The added components consist of a series inductor and capacitor as shown in Figure 1. If L
and C3 are
1
not added to the circuit, the crystal will oscillate at its fundamental frequency, which is approximately
one third of the desired overtone
frequency.
fundamental mode crystal at the same frequency.
Copyright 2002, Analog Devices, Inc. All rights reserved. Analog Devices assumes no responsibility for customer product design or the use or application of customers’ products or for any infringements of patents or rights of others which may result from Analog Devices assistance. All trademarks and logos are property of their respective holders. Information furnished by Analog Devices Applications and Development Tools Engineers is believed to be accurate and reliable, however no responsibility is assumed by Analog Devices regarding the technical accuracy and topicality of the content provided in all Analog Devices’ Engineer-to-Engineer Notes.
a
-=5V
-=5V
18
ADSP-218x-/L/M/N DSP
ADSP-218x-/L/M/N DSP
V
V
DDINT
DDINT
GND
GND
18
17
17
L=3.3V
L=3.3V M=2.5V
M=2.5V
C
C
N=1.8V
N=1.8V
4
4
C
C
FB
FB
••
••
••
C
C
IN
IN
GND
GND
12
12
CLKIN XTAL
CLKIN XTAL
C
C
IS
IS
•• C
C
R
R
FB
FB
13 14
13 14
••
••
C
C
FBS
FBS
• C
C
OS
OS
OUT
OUT
CLKOUT
CLKOUT
V
V
CIS, C
CIS, C
ARE STRAY
ARE STRAY
CAPACITANCES
CAPACITANCES
FBS
FBS
, C
, C
OS
OS
Y
Y
1
C
C
1
1
1
C
C
2
2
L
L
1
1
C
C
3
3
16
16
15
15
DDEXT
DDEXT
GND
GND
17
17
COMPONENTS
COMPONENTS
ADDED
ADDED
FOR 3
FOR 3
OSCILLATOR
OSCILLATOR
C
C
5
5
RD
RD
OT
OT
-=5V
-=5V L=3.3V
L=3.3V M=2.5-3.3V
M=2.5-3.3V N=1.8-3.3V
N=1.8-3.3V
Figure 1: Schematic of 3rd Overtone Crystal Oscillator
Note that the three capacitors, C
C
, must be ‘RF’ types with low loss dielectrics
3
, C2 and
1
at the frequencies being used. Examples of capacitors with suitable dielectrics include silver mica, polystyrene and ceramic NP0.
The inductor, L
, must also be chosen for
1
low RF losses (i.e. high ‘Q’). At these frequencies and inductance values this usually means an air core type, although there are some inductors that use special formulations of iron dust and/or ferrites that result in high Q. As a guide, look for an inductor with a Q greater than 30, DC resistance less than 1.0 and a self­resonant frequency (SRF) greater than 120MHz.
The crystal’s load capacitance (C
) is
L
required to ensure the crystal operates at the labeled frequency and will be specified by the crystal manufacturer. This is usually a ‘standard’ value and 18pF is very common. It is up to the engineer to choose the correct values for C C
and L1 in conjunction with the amplifier and
3
, C2,
1
stray PCB capacitance, to provide the correct load capacitance, C
. C1 and C2 will usually be
L
between 20pF and 70pF.
C
is only required for blocking DC
3
current that would otherwise load the output of the oscillator. Its value is not critical and a value of 1nF NP0 should be satisfactory.
with C
The inductor, L
and the stray output capacitance at a
2
, is chosen to resonate
1
frequency fR ≈ of the 3rd OT frequency, fOT. This provides the correct loading reactance for the crystal and closed loop phase relationship to start and maintain oscillation. In addition, the parallel combination of L an effective capacitance, C frequency, f
, to correctly load the crystal.
OT
and C2 must provide
1
at the 3rdOT
2EFF
We have the following two equations
with two unknown values, L
2
f
OT
f
R
==
3
2
π
1
and C2 …
1
Equation 1
)( ++
LCCC
12
OSOUT
×
XX
LC
12
f
,@
OT
+
X
C
EFF
XX
2
LC
12
1
Cf
EFFOT
2
Equation 2
==
2
π
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 2 of 11
a
where fR is the actual resonant frequency of L1 combined with the total output capacitance, C C
and COS. Note that C2 is the actual
OUT
capacitor value used while C capacitance at f of C
and L1.
2
The reactance of C
due to the parallel combination
OT
3
is the effective
2EFF
is small enough to be
,
2
ignored. Similarly the contributions of the feedback capacitances, C
and C
FB
, are very
FBS
small and can be ignored in determining the required values of C
and L1.
2
With some simple arithmetic manipulation we have the resulting design equations for C
and L1 …
2
C++=
2
L++=
1
4
ω
where: ω
2
49
5
Equation 3
5
2
()
2
Equation 4
= 2πfOT
OT
CCC
OSOUTEFF
CCC
OSOUTEFFOT
()
Summarizing, the crystal manufacturer will specify a total load capacitance for the crystal. This is the TOTAL value of capacitance that must appear across the two terminals of the crystal for the operating frequency to be within the specified tolerance of the value stamped on the package. The total capacitance is usually called the load capacitance, C of the amplifier input capacitance, C capacitance, C
and output capacitance, C
FB
, and will consist
L
, feedback
IN
.
OUT
Added to these is the PCB stray capacitances, C
, C
IS
and COS. Finally we have
FBS
to add the external capacitors C1 and the parallel combination of C
and L1.
2
Example: Determining External Load Capacitors, C Inductor L
Assume a manufacturer specifies a
37.5MHz 3 C
=18pF. For the ADSP-218xM/N oscillator
L
amplifier, typical values are C 7pF and C capacitances, assume C C
=1pF. These are all reasonable
FBS
approximations and, in practice, a couple of pF either way will not make much difference.
To calculate the equivalent capacitance across the crystal output capacitances are effectively in series.
Therefore, the amplifier total capacitance, C
:
AT
For the PCB total capacitance, C
Therefore, total Amplifier and PCB stray capacitance, C
The total load capacitance is specified by the crystal manufacturer. In this case, C 18pF. We have 6pF provided by the amplifier in the DSP and stray PCB capacitance, as noted above. Hence we have to add another 12pF in parallel to make a total of 18pF. This capacitance is provided by C combination of C2 in parallel with L1.
1
rd
OT crystal with a load capacitance,
= 1pF. For the PCB stray
FB
=2pF, COS=3pF and
IS
, first note that the input and
C
= C
AT
+ CINC
FB
= [1+ 5×7/(5 + 7)]
4pF
C
PCBT
= C
+ CISCOS/(C
FBS
= [1 + 2×3/(2 + 3)]
2pF
:
ST
C
= CAT + C
ST
6pF
, C2 and
1
= 5pF, C
IN
/(C
OUT
IN
+ C
:
PCBT
+ COS)
IS
PCBT
and the
1
OUT
OUT
)
L
=
=
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 3 of 11
a
NOTE: It is most common to make C1 and C the crystal, the resulting values for C
equal, and, since they are in series across
2
and C
1
2EFF
will each be 24pF, the series combination making the 12pf required to make-up the specified total load capacitance.
NOTE that this ‘sleight of hand’ introduction of capacitance C
in place of C2
2EFF
which is the effective capacitance of the parallel combination of C2 and L1 required to make 24pF at the 3rd OT frequency.
At this point we have determined the value of C
- in this example,
1
C
= 24pF
1
From the design equations, 3 & 4, we can determine the values of C
& L1,
2
= 662.2×10
-9
H
L1 = 662.2nH

Checking Calculated Values

To check the effective capacitance of the
C
//L1 combination at fOT, we can use the
2
expression;
1
+
ω
Lj
1
×
2
ω
Lj
1
 
1
2
×
L
1
C
2
which simplifies to;
EFF
EFF
ω
Cj
=
j
2
1
ω
ω
Cj
=
CC
22
ω
()
C++=
2
C
2
2
= [9*24 + 4(7+3)]/5 = 51.2pF
49
5
C2 = 51.2pF
Also, knowing the required crystal overtone frequency, ω
OT
2π×37.5MHz;
L++=
1
2
()
4
ω
5
2
L
= 5/[4(2π37.5×10E6)2(24+7+5)10E-12]
1
CCC
OSOUTEFF
= 2πfOT =
CCC
OSOUTEFFOT
Substituting values;
C
= 51.2pF – 1/(2π37.5E6)2×662.2E-9
2EFF
C
= 24pF 3
2EFF
Also, to confirm the frequency of
resonance, from equation 1;
f
= 1/[2π√{(51.2pF + 7pF + 5pF)662.2nH}]
r
fr = 25.0MHz = 2fOT/3 3
So all the calculations look good. Using preferred values, we can complete our design as shown in Figure 2. (See Appendix A for a detailed component list)
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 4 of 11
a
V
V
V
V
18
ADSP-218x DSP
ADSP-218x DSP
V
V
C
C
FB
FB
DDINT
DDINT
GND
GND
18
17
17
+2.5
+2.5
C
C
4
4
16
DDEXT
DDEXT
GND
GND
16
15
15
17
17
+3.3
+3.3
C
C
5
5
••
••
••
C
C
IN
GND
GND
12
12
IN
CLKIN XTAL
CLKIN XTAL
C
C
IS
IS
••
R
R
FB
FB
13 14
13 14
••
••
C
C
1
1
22pF
22pF
Y
Y
1
1
37.5MH z
37.5MH z
RD
RD
OT
OT
3
3
C
C
FBS
FBS
C
C
56pF
56pF
2
2
C
C
C
C
OUT
OUT
OS
OS
L
L
680nH
680nH
CLKOUT
CLKOUT
V
V
1
1
C
C
3
3
1nF
1nF
Figure 2: 37.5MHz, 3rd Overtone Crystal Oscillator

Test Results

A total of 15, 37.5MHz 3rd OT crystals were tested from three different batches. A second test of three different batches of five, 40MHz 3 same circuit component values as for the
37.5MHz crystals. Finally, a third test of three 34MHz 3 were performed on an ADSP-2189M EZ-KIT LITE evaluation board. The results are tabulated in Appendix B.
Note especially that all crystals are oscillating within the ±50ppm (±1875Hz for
37.5MHz) frequency tolerance specified by the crystal manufacturer. The worst-case deviation is within 25ppm. The manufacturer’s test sheet shows the average
37.5MHz by +29.8Hz. Checking the average for our application shows the frequency to be high by 292Hz. This error would normally be considered insignificant and could be ignored. The difference between the manufacturer’s
rd
OT crystals were tested using the
rd
OT crystals were tested. All tests
operating frequency is above
measured average frequency and our application is 262Hz.
If it is desired to trim (reduce) the operating frequency, we could increase the load capacitance using the “Pullability Equation” to estimate the additional load capacitance required.
This equation is given by …
ff
×=
2 )( +
CC
L
1
Hz
2
CC
L
0
where
=
C
L
=
CC
10
eCapacitancLoadCrystal
ParameterseCapacitancCrystal,
Using the average crystal parameters from Appendix C, the average pullability of the
37.5MHz crystals is 30Hz/pF. Hence by increasing the load capacitance C
by
L
262Hz/30Hz/pF = 8.75pF, the mean frequency should be close to the manufacturer’s quoted measurements. No attempt was made to verify this measurement as the operating frequency was
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 5 of 11
a
already well within the manufacturer’s specifications for all parts.
A check of voltage at the input to the crystal network shows the drive voltage to be approximately 2.5Vpp or just under 1Vrms. Lacking the instruments to measure crystal current, a Spice simulation was run, using the typical crystal parameters at the operating frequency. This showed a current through R (approximating the crystal ESR) of approximately 1.2mA.
From the relation I resistance is taken to be 65, the crystal drive power is estimated to be greater than 93µW, which is considered sufficient to ensure oscillation.
Startup times for several 37.5 and 40MHz crystals were checked and ranged from a minimum of 12ms up to a maximum of ≈35ms.
2
R1, where the crystal
1

Design Omissions

At this point it is useful to consider what has been ignored. The most important design considerations, ignored up till now, are the loop gain and the crystal drive level. The design process should aim for an overall loop gain (at zero degrees) of at least +10dB. While an amplifier gain of +30dB may seem sufficient, the crystal feedback network (including the source resistance of the amplifier) may have an attenuation of more than +20dB, thus reducing the gain margin. The loop gain is determined, in part, by the internal amplifier and is not something we have control over. We can minimize losses in the external feedback network by using high-Q RF capacitors and inductors and keeping all lead lengths and PCB traces very short. Using crystals with the lowest possible equivalent series resistance (ESR) is also a good idea.
The crystal drive level is usually measured in microwatts (µW) and third overtone crystals require a higher minimum
drive level
than fundamental mode crystals at the same frequency. This is a parameter that is difficult to measure and outside the scope of this paper. While the manufacturer specifies the maximum crystal drive level, typically 500µW to 1mW, the minimum drive level is usually not mentioned. This is unfortunate as it is one of the reasons why some 3 Below a certain minimum drive level, a crystal may not start, or will start and then stop intermittently. The problem has been exacerbated with the trend to lower operating voltages for the amplifier. At V available ac signal is about half the amplitude obtained with a 5V supply. This reduces the crystal drive to level to 25% of a 5V system.
The crystal drive level should be measured and confirmed, if the facility is available. If possible, crystals should be selected with an ESR less than 50. Extensive testing for startup reliability should be done to ensure operation for the limits of temperature, voltage and production tolerances.
rd
OT crystal oscillators fail intermittently.
= 3.3V, the
DDEXT

Application Notes

At RF frequencies, care must be taken to absolutely minimize trace and lead lengths. Also, a ground plane is strongly recommended to ensure stability and reduce EMI. All DSP power pins should be bypassed to the ground plane with 10nF and/or 100nF surface mount capacitors, right at the pins
Other oscillators on the same PCB should be physically separated and carefully decoupled to prevent mutual interaction via common power supply impedances. Failure to do this can also increase clock jitter.
The ground connections for capacitors C
should be connected to the ground plane
1..5
with the shortest possible traces. The amplifier’s ground pin(s) should be connected directly to the ground plane via without a trace.
.
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 6 of 11
a
The actual frequency of oscillation should be within the manufacturer’s specified tolerance of the frequency marked on the crystal package. This is usually quoted by the manufacturer, in ppm. Typical tolerances are ±50 or ±100ppm. At 37.5MHz a tolerance of ±50ppm is ±1875Hz. If an accurate frequency counter is available, this should be confirmed, however, allowance should be made for the extra load impedance of the counter probe, unless the DSP has a buffered measurement point (e.g. CLKOUT).
If the operating frequency were outside this tolerance band it would indicate that the total load capacitance is in error or there is some other serious problem. Some crystal manufacturers will quote a figure called the ‘pullability’ of the crystal, usually in ppm/pF or Hz/pF. A typical figure is about 30Hz/pF (see Appendix C, parameter ‘P’). This shows that an error of a few pF has only a small effect on the operating frequency.
It was mentioned earlier that the two external load capacitors, C
and C
1
2EFF
, are normally equal values. It is possible to change the ratio of these two capacitors while maintaining the same total load capacitance. This is sometimes done to increase or decrease
the feedback ratio and change the behavior of the oscillator. The objective might be to increase start-up speed with a low gain amplifier or improve stability if the amplifier gain is too high. These are not common requirements and are beyond the scope of this paper.

5th and Higher Overtone Crystals

The same principles described in this note apply to using 5 crystals. The parallel circuit consisting of C and the stray output capacitance should be chosen to resonate halfway between the chosen overtone frequency and the next lowest overtone.
For a 5 the 5
th
OT crystal, this would require fR ≈ of
th
OT frequency, fOT.
It is still necessary to provide the manufacturer’s specified load capacitance across the crystal and provide the correct network phase and gain conditions to initiate and support oscillation only at the chosen overtone. Note that the circuit becomes more critical of component tolerances as the overtone order increases, and 5th order operation, and higher, is not recommended for production applications. For clock frequencies up to 75MHz, it should not be necessary to use 5
th
overtone and higher-order
2
th
OT mode crystals.
, L1

Appendix A

Components for the Example 37.5MHz 3
Ref
Designato
r
C1 22pF, ±5%, 50V, NP0 SMD 0603 Panasonic ECJ-1VC1H220J
C2 56pF, ±5%, 50V, NP0 SMD 0603 Panasonic ECJ-1VC1H560J
C3 1nF, ±5%, 50V, NP0 SMD 0603 Panasonic ECJ-1VC1H102J
L1 680nH, ±10%, Q
Y1 37.5MHz, 3rdOT Crystal Cardinal
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 7 of 11
Description Package
=40, DCR<0.26, SRF
min
=175MHz SMD 1008 API Delevan 1008-681K
min
rd
Overtone Test Circuit
Manufacture
r
Part Number
CSM1-A1B2C2-
100-37.5D18-3

Appendix B: 3rd OT Crystal Test Results

y
q
(
)
)
(
(
(
g
y
q
(
)
)
(
(
(
g
q
(/2)
(
ADSP-2189M EZ-KIT. 3rd OT Crystal Oscillator Frequency Measurements
Tests on a selection of 3rd OT Crystals Frequency Counter: HP Model 5328A Approx 2min allowed for oscillator frequenc
FL = 37.50000 MHz Tolerance 50ppm 1875 Hz CL = 18 pF
FL Xtal ppm Hz CLKOUT CLP 1 -5.1 -191.3 75000.62 37500.31 310.0
ThruHole) 2 4.8 180.0 75001.24 37500.62 620.0 3 -3.54 -132.8 75000.67 37500.34 335.0 4 4.23 158.6 75001.14 37500.57 570.0 5 -3.19 -119.6 75001.08 37500.54 540.0 CSM1 6 11.31 424.1 75001.08 37500.54 540.0
SMD) 7 9.46 354.8 75000.47 37500.24 235.0 8 3.03 113.6 75000.32 37500.16 160.0 9 4.23 158.6 75000.35 37500.18 175.0 10 9.5 356.3 75001.02 37500.51 510.0 CX5 1 -6.91 -259.1 75000.03 37500.02 15.0
SMD) 2 -3.72 -139.5 75000.19 37500.10 95.0 3 -4.19 -157.1 75000.18 37500.09 90.0 4 -4.33 -162.4 75000.15 37500.08 75.0 5 -3.66 -137.3 75000.22 37500.11 110.0
0.79 29.8 75000.58 37500.29 292.0
Av
to stabilize (typically drifts up about 200Hz)
Measured Fre
kHz
uency
Xtal(kHz
a
Error-Hz
FL = 40.00000 MHz Tolerance 50ppm 2000 Hz CL = 18 pF
NOTE: Same 3rd OT LC circuit values as used for 37.5MHz circuit.
stal frequency over clocks the 2189M DSP and is not recommended
This cr FL Xtal ppm Hz CLKOUT CLP 11 6.72 268.8 80000.91 40000.46 455.0
ThruHole) 12 10.72 428.8 80000.69 40000.35 345.0 13 7.35 294.0 80001.40 40000.70 700.0 14 -0.67 -26.8 80000.73 40000.37 365.0 15 5.39 215.6 80000.34 40000.17 170.0 CSM1 16 0.72 28.8 80000.98 40000.49 490.0
SMD) 17 9.68 387.2 80000.36 40000.18 180.0 18 2.05 82.0 80000.44 40000.22 220.0 19 -0.17 -6.8 80000.34 40000.17 170.0 20 1.72 68.8 80000.47 40000.24 235.0 CX5 1 -4.12 -16.5 80000.12 40000.06 60.0
SMD) 2 -5.06 -20.2 79999.98 39999.99 -10.0 3 -4.12 -16.5 80000.07 40000.04 35.0 4 -7.36 -29.4 79999.80 39999.90 -100.0 5 -9.41 -37.6 79999.22 39999.61 -390.0
0.896 108.0 80000.39 40000.20 195.0
Av
FL = 34.0000 MHz Tolerance 50ppm 1700 Hz CL = 20 pF
NOTE: Same 3rd OT LC circuit values as used for 37.5MHz circuit. FL Xtal ppm Hz CLKOUT Xtal CLP 21 6.72 228.5 68000.21 34000.11 105.0
ThruHole) 22 10.72 364.5 67999.68 33999.84 -160.0 23 7.35 249.9 68002.05 34001.03 1025.0
-0.67 -22.8
5.39 183.3
Measured Fre
kHz
Measured Fre
uency (Hz)
Xtal(kHz
uency (Hz)
Error-Hz
Error-Hz
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 8 of 11
Appendix C: Manufacturer’s Sample Crystal Parameters
a
Ref Freq 37.50000 MHz (3rd OT)
CL = 18 pF
Xtal ppm Hz ppm/pF Ohm ppm Hz pF fF mH Hz/pF CLP 1 9.50 356.3 0.7 83.9 -5.10 -191.3 1.883 0.583 30.9 27.7 (ThruHole) 2 4.23 158.6 0.7 77.5 -10.13 -379.9 1.847 0.572 31.5 27.2 3 3.03 113.6 0.7 81.3 -11.44 -429.0 1.871 0.581 31.0 27.6 4 11.31 424.1 0.9 84.5 -5.70 -213.8 1.862 0.676 26.6 32.1 5 9.46 354.8 0.9 75.6 -8.99 -337.1 1.880 0.738 24.4 35.0 CSM1 1 4.23 158.6 0.9 72.8 -13.57 -508.9 1.902 0.714 25.2 33.8 (SMD) 2 -5.10 -191.3 0.8 64.2 -24.25 -909.4 2.037 0.653 27.6 30.5 3 4.80 180.0 0.8 85.0 -10.91 -409.1 1.897 0.624 28.9 29.6 4 -3.19 -119.6 0.9 60.8 -20.64 -774.0 2.027 0.698 25.8 32.6 5 -3.54 -132.8 0.9 57.4 -21.64 -811.5 2.271 0.733 24.6 33.4 CX5 1 -6.91 -259.1 0.7 49.9 -20.91 -784.1 1.652 0.553 32.6 26.8 (SMD) 2 -4.19 -157.1 0.8 42.8 -19.05 -714.4 1.574 0.587 30.7 28.7 3 -3.72 -139.5 0.7 50.9 -18.24 -684.0 1.644 0.574 31.4 27.9 4 -4.33 -162.4 0.8 46.7 -19.06 -714.8 1.676 0.584 30.8 28.3 5 -3.66 -137.3 0.8 47.1 -18.55 -695.6 1.427 0.584 30.8 29.0 AVG 0.79 29.8 0.80 65.36 -15.21 -570.5 1.830 0.630 28.9 30.0
Ref Freq 40.00000 MHz (3rd OT)
CL = 18 pF
Xtal ppm Hz ppm/pF Ohm ppm pF fF mH Hz/pF CLP 1 6.72 268.8 0.9 40.8 -10.74 -429.6 2.060 0.710 22.3 35.3 (ThruHole) 2 10.72 428.8 1.0 33.6 -8.72 -348.8 2.051 0.788 20.1 39.2 3 7.35 294.0 0.8 42.4 -9.21 -368.4 2.080 0.668 23.7 33.1 4 -0.67 -26.8 0.9 36.6 -18.40 -736.0 2.042 0.718 22.0 35.7 5 5.39 215.6 1.0 33.0 -13.62 -544.8 1.739 0.761 20.8 39.1 CSM1 1 0.72 28.8 0.8 37.9 -16.45 -658.0 2.851 0.725 21.8 33.4 (SMD) 2 9.68 387.2 0.8 47.4 -6.79 -271.6 2.817 0.691 22.9 31.9 3 2.05 82.0 0.8 42.5 -14.71 -588.4 2.826 0.699 22.6 32.2 4 -0.17 -6.8 0.9 34.0 -18.38 -735.2 2.824 0.764 20.7 35.2 5 1.72 68.8 0.8 37.3 -15.20 -608.0 2.827 0.712 22.2 32.8 CX5 1 -4.12 -164.8 0.8 58.0 -20.09 -803.6 1.562 0.627 25.2 32.8 (SMD) 2 -5.06 -202.4 0.8 61.2 -20.82 -832.8 1.694 0.623 25.4 32.1 3 -4.12 -164.8 0.8 57.7 -19.82 -792.8 1.679 0.620 25.5 32.0 4 -7.36 -294.4 0.8 54.8 -23.63 -945.2 1.478 0.636 24.9 33.5 5 -9.41 -376.4 0.8 58.3 -25.45 -1018.0 1.466 0.625 25.3 33.0 AVG 0.90 35.8 0.85 45.03 -16.14 -645.4 2.133 0.691 23.0 34.1
FL Ts Rs Fs C0 C1 L1 P
FL Ts Rs Fs C0 C1 L1 P
Ref Freq 34.00000 MHz (3rd OT)
CL = 20 pF
Xtal ppm Hz ppm/pF Ohm ppm Hz pF fF k Hz/pF CLP 1 -12.40 -421.6 26.2 2.900 1.200 149 38.9 (ThruHole) 2 -13.30 -452.2 26.7 3.000 1.180 148 37.9 HC49/LP 3 -20.80 -707.2 26.6 3.000 1.170 151 37.6 4 13.60 462.4 31.0 3.000 1.140 133 36.6 5 11.20 380.8 28.6 3.000 1.250 130 40.2 AVG -4.34 -147.56 27.82 2.980 1.188 142 38.2
FL Ts Rs Fs C0 C1 Q P
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 9 of 11
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Acknowledgements

Special thanks to Dave Babcock and Maralyn Thomas of Cardinal Components, for providing a
rd
variety of 3 my colleagues Steven Cox, David Katz, Greg Koker and Glen Ouellette for suggestions and proof reading. Regrettably the author must assume responsibility for any remaining errors.

References

OT crystals, test parameters, application advice and proof reading this note. Thanks also to
Cardinal Components, Inc Wayne Interchange Plaza II 155 Route 46 West Wayne, NJ 07470
Tel: 973-785-1333
http://cardinalxtal.com/cardinal/index.html
1. “Oscillator Design & Computer Simulation, 2nd Ed”, Randall W. Rhea, Noble Pub, 1995, ISBN 1-884932-30-4
2. “Crystal Oscillator Circuits”, Robert J. Matthys, John Wiley & Sons, New York, 1983
3. “ARRL Handbook CD, Ver 4.0”, 2000. Printed version, 77 Published and available from the ARRL, Newington, CT 06111, USA
4. “Oscillators for Microcontrollers”, Intel Application Note, AP-155, December 1986
5. “HCMOS Crystal Oscillators”, Thomas B. Mills, National Semiconductor Application Note, AN-340, May 1983
6. “CMOS Oscillators”, Mike Watts, National Semiconductor Application Note, AN-118, October 1974
7. “A Study of the Crystal Oscillator for CMOS-COPS”, Abdul Aleaf, National Semiconductor Application Note, AN-400, August 1986
8. “Fundamentals of Quartz Oscillators”, Hewlett-Packard Application Note, 200-2
9. “Some Characteristics & Design Notes for Crystal Feedback Oscillators”, Motorola Applications Engineering
10. “Introduction to Quartz Frequency Standards”, John R. Vig, Army Research Laboratory, Fort Monmouth, NJ 07703-5601, USA. SLCET-TR-92-1(Rev. 1), October 1992 (Reproduced by Oscillatek Inc.)
11. “Crystal Oscillator of SAM V4.1”, Infineon Technologies AG, Application Note 11.99, DS 2.
th
Ed. ISBN: 0-87259-183-2.
12. “Applying Crystals”, Martin Eccles, Electronics World + Wireless World, August 1994
13. “Principles of Quartz Crystal Operation”, Cardinal Components, Inc., Application Note
14. “Quartz Crystal – Theory of Operation”, FOX Electronics Application Note
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 10 of 11
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15. “One Pin Crystal Oscillators”, Harlan Ohara, Micro Linear Application Note, AN-8, Sept 1989
16. “Oscillator/Crystal Information for the 186 Family”, Intel. Website information
17. “Oscillation Circuit Design Guide”, Technical Note, Seiko Epson Corp, 1993
http://www.eea.epson.com/itemStorage/FA-238/filesPublic/O_D_guide.pdf
18. “A Technical Tutorial on Digital Signal Synthesis”, Analog Devices, White Paper, 1999
19. “High Speed Digital Design – A Handbook of Black Magic”, Howard W. Johnson, Martin Graham, 1993, Prentice-Hall, ISBN-0-13-395724-1. Refer Ch11, 12
20. “A New Discourse on Crystal Oscillator Basics”, Waitak P. Lee, Page 69, RF Design, April
1997.
21. “Basic Crystal Oscillator Design Considerations”, C. Taylor, D. Kenny, page 75, RF Design, October 1992.
22. “Designing Crystal Oscillators”, David Babin, page 93, Machine Design, March 7, 1985.
23. “Guidelines for Crystal Oscillator Design”, David Babin, page 90, Machine Design, April 25,
1985.
24. “Spice Techniques for Analyzing Quartz Crystal Oscillators”, T. Kien Truong, page 26, RF Design, Sept 1995.
25. “Oscillator Design Handbook”, A Collection from RF Design, 1990, Cardiff Publishing Co
26. “DSP IC’s Clock Oscillator Uses Inexpensive Crystals”, Sergey Dickey, page 127, EDN Magazine, March 2, 1998.
27. “Resonator Terminology and Formulas”, Application Note, Piezo Technology Inc.
28. “Some Characteristics and Design Notes for Crystal Feedback Oscillators”, Motorola Application Engineering.
29. “Frequency Synthesis Handbook, 2 Publishing Co, ISBN 1-88128902-8
30. “Crystals, Oscillators & Clocks for DSPs”, Larry Hurst, Application Paper, 8-8-02, Analog Devices Inc.
nd
Ed”, A Collection from RFDesign, July 1993, Cardiff
EE-168: Using Third Overtone Crystals with the ADSP-218x DSP Page 11 of 11
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