IF Filters 1
1. Lattice Filter at 3.395MHz
The above is comprised of two half lattice filters connected back to back so that only a single tuned circuit is required. Lattice filter design theory requires the internal series and parallel resonant frequencies (subtract to get the pole zero spacing) of each crystal lie at specified points on the required passband. Specifically, the lower frequency crystal should have its series resonance on the LF edge of the passband and its parallel resonance at the centre of the passband and the higher frequency crystal should have its series resonance at the centre of the passband and its parallel resonance on the upper edge of the passband. The rule of thumb says that the resulting filter bandwidth will be between 1.7 and 2 times the pole zero spacing.
This filter was constructed to see what was possible with standard, off the shelf crystals from Heathkit SB Line units (manufactured during the late 1960s).
X1
3.3936MHz HC6/U Heathkit SB line CIO crystal
X2
3.3964MHz HC6/U Heathkit SB line CIO crystal
L1
57+57t 30swg enamelled copper wire bifilar wound on an 0.5 inch diameter Micrometals grade 8 (red) dust iron toroid.
C1
2-22pF trimmer in parallel with 22pf fixed silver mica or polystyrene capacitor. Final value will depend on the winding of L1 and circuit layout.
The crystal frequencies are those marked on the cases and are the intended frequencies of oscillation in a parallel mode carrier insertion oscillator. The initial passband showed a 3dB ripple with termination impedance of 2Kohms. An optimum passband ripple of around 1dB was achieved with input and output impedances of 1.1K. The output termination impedance appears to more critical than the input source impedance.
Test results:
Attenuation dB
LF side in MHz
HF side in MHz
-1
3.39326
3.39674
-3
3.39310
3.39736
-6
3.39299
3.39768
-10
3.39277
3.39801
-20
3.39205
3.39895
-30
3.39112
3.40018
-40
3.38990
3.40204
-50
3.38850
3.40552
-60
3.38680
3.44811
The shape and position of the top part of the passband is significantly dependant on the tuning of L1 and C1. The ultimate stopband attenuation of the filter is about -63dB but this can be improved to better than -70dB by neutralising the crystals with very small value capacitors - typically 0.47 - 0.68pF.
Problems with several spurious responses at about 3.5MHz were noted. This is not surprising as these crystals were intended for use in oscillators where the spurious response requirements are less stringent than for filters. It should be possible to significantly improve the performance of this filter using more carefully specified crystals and adding another half or full section. A high Q conventional tuned circuit would also help.
Readers are referred to the ARRL or RSGB Handbooks for more information on the design and construction of half and full lattice filters. 'Single Sideband for the Radio Amateur' (5th Edition 1970) by the ARRL has a more detailed description of the design of lattice crystal filters. More advanvced readers might like to consult "Crystal Filters - Design, Manufacture and Application" by Robert G Kinsman, ISBN 0-471-88478-2, published 1987 by Wiley.
Crystal Parameters:
Crystal Marked MHz
Fs MHz
Fp MHz
Cp pF
Cs fF
Ls mH
3.3936
339623
340051
5.126
23.813
92.417
3.3954
339434
340170
6.376
27.649
79.515
3.3694
339542
340316
5.78
26.353
83.371
Fs
Series resonant frequency
Fp
Parallel resonant frequency of crystal without any external external added parallel capacitance
Cs
Series (motional) capacitance
Cp
Parallel capacitance
LS
Series (motional) inductance
fF
Femtofarad (pF/1000)
pF
Picofarad
mH
Millihenry
Keys:
A similar format filter has also been constructed using crystals at 3.3936MHz and 3.3954MHz which resulted in a -3dB bandwidth of 2.45KHz, a centre frequency of 3.39388Mhz, -60dB bandwidth of 9.85KHz  and an impedance of 870ohms. Spurious responses were noted some 50KHz above the passband at about -50dB. The ultimate stopband was about -65dB without any neutralising or screening. This filter is slightly off of the normal Heath IF of 3.395MHz but does prove that the design approach works.
A third filter was constructed using pairs of crystals at 3.3954MHz and 3.3964MHz (1KHz spacing) and this produced a poor quality passband characteristic, probably because the internal series and parallel resonant frequencies were not optimised for the narrower passband. A ladder filter may be more appropriate for SSB and CW bandwidths as long as the crystal parameters are correctly specified.
Some additional work needs to be done on crystal neutralising and to determine the optimum L-C ratio for L1/C1 for each filter bandwidth. Initial results suggest a higher L-C ratio for higher bandwidth filters which will also require a higher terminating impedance. 'L' networks may be used to transform the filter impedance to a more convenient value if required - Heathkit standardised on 2000 ohms for their HW/SB-line IF filters.