Crystals for IF Filters
The bandwidth of an IF filter in a communications receiver/transceiver depends on the type of signal that is to be received -
If filters are to be home made then the following table will give constructors an idea of what is possible using both quartz crystals and ceramic resonators in ladder filters:
Freq. MHz |
Type |
Case |
Fp MHz |
Fs MHz |
Cs fF |
Ls mH |
Cp pF |
Max BW KHz |
Comments |
0.455 |
CR |
Plastic |
0.4583 |
0.43723 |
30362 |
4.364 |
315 |
11.46 |
|
1 |
CR |
Plastic |
1.0191 |
0.97256 |
7791 |
3.437 |
81.406 |
25.2 |
1MHz IF was used in the Squires Sanders SSR- |
1.000 |
Xtal |
HC6/U |
1.00099 |
0.99988 |
8.252 |
3070 |
3.717 |
0.604 |
|
2.450 |
CR |
Plastic |
2.51947 |
2.34136 |
5832 |
0.795 |
37.4 |
99 |
|
2.45768 |
Xtal |
HC18/U |
2.4597 |
2.45733 |
7.71 |
544 |
3.87 |
1.332 |
Purchased in 2008 |
2.45768 |
Xtal |
HC6/U |
2.46075 |
2.457 |
15.9 |
263.6 |
4.16 |
2.556 |
20+ years old |
3.2768 |
Xtal |
HC18/U |
3.27949 |
3.27653 |
4.683 |
503.8 |
2.592 |
1.61 |
Note the much reduced bandwidth for this case style compared to the next seven units |
3.2768 |
Xtal |
HC47/u (wire ended, cold weld HC6/u) |
3.28272 |
3.275512 |
28.112 |
83.982 |
6.388 |
3.92 |
Note the reduced Ls value and much higher max bandwidth |
3.28 |
CR |
Plastic |
3.41976 |
3.1105 |
5950 |
0.44 |
29.93 |
168 |
Purchased in 2021 |
3.39354 |
Xtal |
HC6/U |
3.39985 |
3.39362 |
9.574 |
229.7 |
2.608 |
3.388 |
Used in Heath SB- |
3.3936 |
Xtal |
HC6/U |
3.40051 |
3.39263 |
23.813 |
92.417 |
5.126 |
4.068 |
Heath SB- |
3.395 |
Xtal |
HC6/U |
3.40155 |
3.39387 |
24.2 |
90.9 |
5.35 |
4.1 |
Heath SB- |
3.39524 |
Xtal |
HC6/U |
3.40179 |
3.39524 |
9.774 |
224.81 |
2.533 |
3.562 |
Used in Heath SB- |
3.3954 |
Xtal |
HC6/U |
3.40171 |
3.39434 |
27.649 |
79.515 |
6.376 |
4.001 |
Heath SB- |
3.3964 |
Xtal |
HC6/U |
3.40316 |
3.39542 |
26.353 |
83.371 |
5.78 |
4.046 |
Heath SB- |
7.8 |
Xtal |
FT243 |
7.81819 |
7.81718 |
1.822 |
227.495 |
7.051 |
0.54 |
WWII era? |
9 |
Xtal |
HC18/U |
9.01715 |
8.99714 |
22.74 |
13.76 |
5.112 |
10.883 |
Special high IP3 crystal supplied by PA3AKE |
9 |
Xtal |
HC18/U |
9.0172 |
8.99713 |
23.05 |
13.574 |
5.17 |
10.9 |
A164A from IQD |
9 |
Xtal |
HC18/u |
9.0159 |
8.99824 |
18.18 |
17.207 |
4.632 |
9.6 |
Sample 1, IQ Designs, unmatched |
9 |
Xtal |
HC18/u |
9.01712 |
8.99817 |
20.604 |
15.184 |
4.892 |
10.3 |
Sample 2, IQ Designs, unmatched |
10.7 |
Xtal |
HC18/u |
10.7206 |
10.697761 |
15.71 |
14.087 |
3.672 |
12.447 |
|
11.0592 |
Xtal |
HC18/u |
11.0792 |
11.0543 |
24.931 |
8.314 |
5.539 |
13.529 |
|
12 |
Xtal |
HC18/U |
12.02021 |
11.99631 |
24.121 |
7.297 |
5.95 |
13.221 |
Significant spurious responses noted |
12 |
Xtal |
HC18/U |
12.01962 |
11.99666 |
16.591 |
10.61 |
4.33 |
12.487 |
|
12 |
CR |
2 lead |
12.41283 |
11.71744 |
2199.81 |
0.084 |
18.534 |
378 |
Useful for wideband filters |
16 |
Xtal |
HC18/U |
16.02179 |
15.99097 |
26.14 |
3.79 |
6.78 |
16.7 |
|
20 |
CR |
2 lead |
20.03948 |
19.93958 |
122.53 |
0.52 |
12.228 |
54 |
Note narrower bandwidth |
37.5 |
Xtal |
SMT |
37.547 |
37.484 |
13.707 |
1.315 |
4.078 |
34.2 |
Fundamental mode |
40 |
Xtal |
HC6/U |
40.0036 |
39.99913 |
1.726 |
9.171 |
7.7254 |
2.43 |
Measured at the 3rd overtone freq. |
BW |
Bandwidth |
CR |
Ceramic resonator |
Cs |
Series (motional) capacitance |
Cp |
Parallel Capacitance |
fF |
Femtofarads (pF/1000) |
Fp |
Parallel resonant frequency without any external parallel capacitance |
Fs |
Series resonant frequency |
Ls |
Series (motional) inductance |
mH |
millihenry |
Xtal |
Quartz crystal |
|
|
|
|
This table comes with a health warning:-
Modern crystals in the 2-
Ladder filters have an asymmetric frequency response with a slower attenuation curve on the low frequency side of the pass band which becomes worse as the bandwidth is increased for a given filter. This can be improved by using more sections but never completely removed. The maximum bandwidth is what is possible for each type of crystal or ceramic resonator is shown in the table and users must ensure that the overall response is satisfactory for their specific requirements.
A crystal used on its third or fifth overtone will show a significantly higher motional LC ratio and a correspondingly reduced maximum bandwidth in a ladder filter compared to the same crystal used on its fundamental frequency.
Where a greater bandwidth is required than can be achieved with ladder filters then half or full lattice filters must be used with crystals having the required frequency characteristics.
Crystal parameters and maximum bandwidth figures were obtained using the calculators on two adjacent pages on the Giangrandi web site. These calculators allow the user to enter four measured crystal parameters and determine the component values and frequency responses for filters using from two to eight sections -
An alternative site that provides a downloadable version of the Dishal filter calculator as a Windows executable is located here. This calculator also allows for a higher number of filter sections.
NB: I have used these techniques to design and construct ladder filters up to 37.5MHz with fundamental mode crystals -
Keys: