Highly sensitive and selective single-tuned four-band crystal radio set using a new contra wound dual-value inductor, and having a 'sharp selectivity setting'; along with a way to measure the unloaded Q of an L/C resonator
By Ben H. Tongue
Selectivity and insertion power loss figures from a computer simulation are given and compared with those of the actual physical crystal radio set. A way to tell if the detector is operating below, at or above its 'Linear-to-Square Law Crossover point' (LSLCP) is described. See Article #15a for a discussion of LSLCP. No antenna tuner is necessary for the average outdoor or attic antenna. An explanation of 'short wave ghost signals' and 'hash' is provided along with some suggestions on how to combat them. Version C uses a tank coil constructed with litz wire, as compared to the solid teflon insulated wire used on version 'B'. A new way to make a higher Q, low inductance coil is described.
Some additional benefits of the "Benodyne" type of tank
circuit are: (1) Reduction of the the sharp drop in tank Q or sensitivity at the high
frequency end of the BC band often experienced when only one value of
tank inductance is used for the whole BC band. (2) Reduction of the tank
Q loss from the variable cap when using lower cost units that use phenolic
insulation, such as the common 365 pF cap (see Figs. 2, 3, and 4 in Article #24). The "two inductance value benodyne* circuit
is used in the crystal radio sets in Articles #22 and #26. We will assume
here that the two "benodyne" component inductors (see "The Tank Inductor"
in this Article) provide a tank inductance of 250 uH in the low frequency
half of the BC band (520-943 kHz) and 62.5 uH in the high half (0.943-1.71
MHz). If the large 250 uH inductance setting were used all the way
up to the top end of the BC band (as in the usual case), a total tuning
capacity of 34.7 pF would be required at 1.71 MHz (Condition A). In the
"Benodyne" circuit, with the 62.5 uH inductance setting used for the high
frequency half of the BC band, a total tuning capacitance of 139 pF is
required at 1.71 MHz (Condition B). Benefit (1) occurs because in
condition A, a larger fraction of the total tuning capacitance comes from
the typically low Q distributed capacity of the inductor than in condition
B. This results in a higher Q total capacitance in condition B than
in condition A. Benefit (2) occurs because the effective Q of a
typical 365 pF variable cap, when used with a 250 uH tank, is about 500
at 1.71 MHz (see Fig. 3 in Article #24). The Q of the 365 pF variable
cap, when set to 139 pF, is greater than 1500 (see Fig.5 in Article #24).
This higher Q results in less loss and greater selectivity at the high
end of the BC band in condition 2. A further benefit of the Benodyne
circuit at the high end of the BC band is greater immunity from the Q
reducing effects of surrounding high loss dielectric materials such as
baseboard etc. The lossy stray capacity introduced is better swamped
out by the high shunt tuning capacity used.
The Crystal Radio Set Design, in a (large) Nutshell:
Fig. 1 - Single-Tuned Four-Band Crystal
Radio Set, Version 'C'. These are actually pictures of Version B as
The frequency response shape of the circuit shown in Fig. 2 is that of a simple single tuned circuit and can be thought of as representative of the nominal response of a single tuned crystal radio set. Consider these facts:
2. Design Approach for the Center of each of the four sub-bands.
Fig. 3a shows the simplified Standard Dummy Antenna circuit, described in Terman's Radio Engineer's Handbook for simulating a typical open-wire outdoor antenna-ground system in the AM band. R1=25 ohms, C1=200 pF and L1=20 uH. See Article #20 for info on how to measure the resistance and capacitance of an antenna-ground system. These values are used in the design of the crystal radio set. R1 represents the antenna-ground system resistance, C1 the capacitance of the horizontal wire and lead-in to ground and L1 represents the series inductance of the antenna-ground system.
The values of R1, C1 and L1 in Fig. 3a are considered to be independent of frequency. To the extent that they may vary with frequency, C7 and C8 in Fig. 4 can be adjusted to compensate. The current-source equivalent circuit of the antenna-ground circuit is shown in Fig. 3b. To a first degree of approximation, C2 in Fig. 3b is independent of frequency. R2 will vary approximately inversely with frequency. We will ignore the effect of L2, since its value is large, except when approaching the first resonance of the antenna-ground system. The design approach is to place a variable capacitor C3 in series with the antenna circuit (Fig. 3a) to enable impedance transformation of the antenna-ground circuit to an equivalent parallel RC (Fig. 3b), the R component of which can be adjusted by changing the value of the C3 to follow a desired relationship vs frequency. One of the objectives of the design is to enable as constant a bandwidth as possible vs. frequency. This requires the aforementioned equivalent parallel component (R2) to vary proportionally with the square of the frequency if capacitive tuning is used in each sub-band (loaded Q must be proportional to frequency for a constant bandwidth). The shunt variable capacitor to ground, shown across the tank coil, is used to tune the tank to resonance. This design attempts to accomplish this in the center of each sub-band. Performance is close at the band edges.
3. The single tuned crystal radio set
The topology of the single tuned circuit is changed from band to band as shown in Fig. 4 below.
Resonant RF resistance values at the top of C8 (Fig. 4) from antenna loading are designed to be: 250k ohms at the center of sub-bands 1 and 3 and 500k ohms for sub-bands 2 and 4. Since the diode is tapped at the 0.7 voltage point for bands 2 and 4, it sees a source resistance at resonance of: 125k for sub-bands 1 and 3 and of 250k ohms for sub-bands 2 and 4. These figures apply for the theoretical case of zero loss in the tuned circuit components (infinite Q). In a shunt capacitively tuned crystal radio set, loaded with a constant resistive load, the bandwidth will vary as the square of the frequency. To understand why, consider this: When the resonant frequency of a tuned circuit loaded by fixed parallel resistance is increased (from reducing the total circuit tuning capacitance), the shunt reactance rises proportionally, giving rise to a proportionally lower circuit Q. But, a proportionally higher Q is needed if the bandwidth is to be kept constant. Therefore, the square relation.
In the practical case, we are faced with two problems. (1) How should we deal with the fact we work with finite Q components? (2) At high signal levels (above the LSLCP), the RF load presented by the diode to the tuned circuit is about 1/2 the audio load resistance, and at low signal levels (below the LSLCP) the RF load presented by the diode is about 0.026*n/Is ohms. Compromises are called for.
Parts List - All components are chosen for the best possible sensitivity at a -3 dB RF bandwidth of 5-6 kHz.
** For lower cost, the following component substitutions may be made: They cause a reduction in performance at the high end of the BC band, especially, sub-band 4 when the "narrow selectivity" setting is used. Performance reduction is much less in the lower sub-bands and in the "normal selectivity setting.
Wiring the crystal radio set: The stator and rotor terminals of C8 are labeled points A and B (see Fig. 5), and all connections to them should be short and direct. The purpose is to minimize spurious FM and short-wave resonances which might be created otherwise. This approach eliminates as much wiring inductance associated with C8 as possible, maximizing its ability to shunt out any high frequency spurious responses that might be present. Some more info on this subject is presented near the end of part 8.
The 'contra wound' tank inductor:
L1, L2, L3 L4 and L5 are all components of the tank. It is wound with litz wire having 660 strands of #46 conductor. L1 has 13 turns, L2 has 3.125 and L3 has 8.875, all close wound (because the form is not long enough to enable spacing and the extra turns that would be required to maintain the inductance) as component inductor #L(1,2,3) with two taps. L4 has 7.25 turns and L5 has 17.75, both close wound as component inductor #L(4,5) with one tap.
The start of L1 of component inductor #L(1,2,3) is spaced 0.06" to the right of the center of the coil form, looking at the crystal radio set from the front and winding continues through L2 and L3 clockwise to about 0.25" of the right end of the form, looking at the crystal radio set from the right. The start of L4 of component inductor #L(4,5) is spaced 0.06" to the left of the center of the form, looking at the crystal radio set from the front and winding continues through L5 clockwise to about 0.25" of the left end of the form, looking at the crystal radio set from the right. When one looks at a completed contra wound inductor, one can see that the component inductors #L(1,2,3) and #L(4,5) are wound in opposite directions. Note: All coil dimensions are measured from turn center to turn center. See Article #0, Part 12 for a mini-Article about the purpose and use of the 'contra wound' inductor. Figures 2 and 3 in Article #29 provide more info on the contra wound inductor approach.
Here is the reason for this winding scheme: One can see from Fig. 4 that this crystal radio set design connects component inductors #L(1,2,3) and #L(4,5) in series for the lower half of the BC band and in parallel for the upper half. If the two coils were wound in the same direction from the hot to the cold end, as was done in the crystal radio set described in Article #22, distributed capacitance would be low in the series connection (about 7.7 pF) and higher in the parallel connection (about 21 pF), mainly because the finish (ground end) of component inductor #L(1,2,3) is located close to the start (hot end) of component inductor #L(4,5). This reduces the Q at the high end of the BC band. If the coils are contra wound, as I call it, the lower distributed capacitance condition occurs in the parallel, not the series connection, resulting a Q increase of approximately 17% at 943 kHz. It is increased even more at the high end of the BC band. The coil form is made of high-impact styrene. OD=4.5", ID=4.22" and length=3.625". I used part #S40140 purchased from the Genova Products factory retail store. (http://genovaproducts.com/factory.htm). A PVC form can be used, but its dielectric has about 4-5 times the loss of the styrene form and will reduce Q, especially at the high end of the BC band.
The start (hot) ends of L1 and L4 are affixed to the form by being lead through two 0.25" diameter holes placed 0.5" apart, measured in the circumferential direction, and held in place by 0.5" wide film tape on the inside of the form. The finish (cold) ends of L3 and L5 are affixed to the form by being lead through two 0.125" holes placed 0.5" apart, measured in the circumferential direction, and held in place as above. Three 0.125" diameter holes spaced 0.5" apart are used when pulling a tap. In Fig. 6, the red line represents the litz wire and the yellow arcs represent a cross-section of the coil form through the center of the 0.125 or 0.25" holes.
Fig.7 Coil mounting hardware.
To wind the tank coil, first cut five pieces of 660/46 litz as follows: For L1: 16' 9", L2: 4' 3", L3: 11' 10", L4: 9' 11" and L5: 22' 5". These lengths provide about 9" of free length at each end. The ends of each wire length should be tinned to prevent unraveling of the strands and serving while winding the coils. Use a small Weller WC-100 adjustable temperature iron (or equivalent), set to maximum temperature (really hot!) for tinning. The method is to immobilize an end of the wire end by extending it about 2" over the end of a table and placing a weight on top of it. One can then apply the very hot iron tip to the cut strand ends and feed in a little solder to wet them. As the heat percolates down the litz and the insulation burns off or melts, more solder can be applied a little further down and around the end to obtain a solid tinning for a lead length of about 0.25". If one don't want an inch or so of litz beyond the solder to become stiffened from melted insulation, one might do as John Davidson has suggested. He tightly wraps a length of aluminum foil around the litz, up to 0.375" from the end before soldering to act as a heat sink and keep the insulation cool. I haven't tried this out.
The start leads of L1 and L4 should be spaced 0.06", right and left from the longitudinal center of the coil form. One can use a bent up plastic soda straw in the 0.25" holes to keep the wires approximately in place). Gradually taper the wires further apart going through the first turn, then to become close wound for the remainder of the windings.
Table 1 - Longitudinal locations for the taps and start/finish of L1, L2. L3, L4 and L5.
After the windings are completed, one should have a coil with ten droopy wires coming from it. The next step is to tidy up the coils, adjust the 0.12" wire spacing at the start of L1 and L4 and their one-turn taper. Move any excess winding space to slightly space-wind the last several turns of L3 and L5 at their finishes (cold ends). The turns should then be sprayed with one light application of crystal clear "Krylon" acrylic lacquer, Rust-Oleum Specialty high luster lacquer coating (clear) or equivalent, to hold them in place. The ends of L1 through L5 that are to be joined to form the taps should be cut to a length of about 0.5", tinned and soldered together as shown in Fig. 6. Pigtails for wiring to the switches should now be soldered to the taps. The coil form should be mounted with its axis parallel to the front panel as shown in Fig.1, its center about 6.50" back, and centered horizontally.
Tank coil specs. for those who wish to use a different diameter coil form, axial length of total winding, wire size or wire to wire spacing:
The diode: This design is optimized for use with a diode having an n of 1.03 and a Saturation Current (Is) of about 106 nA at 25° C., although this is not critical and other diodes can be used with very good results. See Articles #0, 4 and 16 for info on n and Is of diodes, and how to measure them. If one has a favorite diode, its effective (Is) can be changed by applying a DC bias voltage, using perhaps, the 'Diode Bias Box' described in Article #9.
An excellent diode to use in this set is the ITT FO-215 germanium unit that was made 20 or so years ago (see Article #27). NOS may be available from from Dave Schmarder at http://www.1n34a.com/catalog/index.htm and Mike Pebble at http://www.peeblesoriginals.com
Another suitable diode, the published parameters for which show an (Is) of 100 nA is a Schottky diode, the Agilent HBAT-5400. It is a surface-mount unit that was originally designed for transient suppression purposes. Measurements of many HBAT5400 diodes seem to show that there are two varieties. One type measures approximately: n=1.03 and (Is)=80 nA The other type seems to have an n of about 1.16 and an (Is) of about 150 nA Both work well but the former works best. This part, available in an SOT-23 package is easily connected into a circuit when soldered onto a "Surfboard" such as manufactured by Capital Advanced Technologies (http://www.capitaladvanced.com/), distributed by Alltronics, Digi-Key and others. Surfboard #6103 is suitable. The HBAT5400 is also available in the tiny SO-323 package that can be soldered to a 330003 Surfboard.
The Agilent HSMS-2860 microwave diode (Specified Is=50 nA) is available as a single or triple with three independent diodes in the SO-323 and SO-363 packages, respectively. The Agilent number for the triple diode is HSMS-286L. I find it to be particularly good for DX in this crystal radio set. It is a convenient part since one can connect it using only one section (shorting the unused ones) or with two or all three in parallel. This gives one a choice of nominal saturation currents of 50, 100 or 150 nA Samples of this part I have tested measured about 35 nA per diode, not 50. I don't know the normal production variations. The only disadvantage of this diode, as far as I know, is its low reverse breakdown voltage which may cause distortion and low volume on very loud stations. It has the advantage, as do most Schottkys, of having much less excess reverse leakage current than do germanium diodes. This helps with volume and selectivity on very weak stations.
Infineon makes a BAT62 Schottky diode in several different small surface mount packages. The single BAT62 is physically the largest and easiest to handle. It has a specified (Is) of about 100 nA and performs quite well.
Most germanium diodes have too high a saturation current for the best selectivity when receiving weak signals and should to be back-biased or cooled for optimum performance, although the difference is usually hard to notice. See Article #17A for more info on this.
Different type diodes may be connected to the terminals labeled Diode #1 and Diode #2, with either one selectable with SW5. When one diode is selected, the other is shorted. This feature makes it easy to compare the performance of a 'test' diode with one's 'favorite' diode. Another use is to place one's best DX diode in one position and one having a very low reverse leakage current at high reverse voltages in the other. This will maximize volume and minimize audio distortion on strong signals.
A good choice for this crystal radio set is a diode having a relatively low saturation current such as 3 or 4 Agilent HSMS-2820 or HSMS-2860 diodes in parallel as Diode #1 for high selectivity and sensitivity on weak signals, and an Agilent HBAT5400 or one of the lower saturation current germaniums as Diode #2 for low distortion and maximum volume on very strong stations. Don't use two diodes in series if you want the best weak signal sensitivity in any crystal radio set. The result of using two identical diodes in series is the simulation of an equivalent single diode having the same (Is) but an n of twice that of either one. This reduces weak signal sensitivity.
Different type diodes may be connected to the terminals labeled Diode #1 and Diode #2, with either one selectable with SW5. When one diode is selected, the other is shorted. This feature makes it easy to compare the performance of a 'test' diode with one's 'favorite' diode. Another use is to place one's best DX diode in one position and one having a very low reverse leakage resistance at high reverse voltages in the other. This will maximize strong signal volume and minimize audio distortion.
Audio impedance transformation: from the audio output resistance of the diode detector to 'series connected' 1.2k ohm sound-powered phones is provided by the audio transformers. If one wishes to use 300 ohm sound-powered phones with two 600 ohm elements connected in parallel instead of series, a very good low loss transformer choice is the 100k-100 ohm transformer from Fair Radio Sales, #T3/AM20. The configuration of two Calrad transformers shown on line 2 of the Calrad chart in Article #5 is also a good choice. C11, along with the shunt inductance of the transformer and the inductance of the sound powered phones form a high-pass filter, flat (hopefully) down to to 300 Hz. R3 is used to adjust the DC resistance of the diode load to the AC impedance of the transformed effective AC headphone impedance to minimize audio distortion on very strong signals. C10 is an audio bypass.
The two variable capacitors C7 and C8: interact substantially when tuning a station. C7 mainly controls the selectivity and C7 and C8 together control the resonant frequency. Reducing the capacitance of C7 increases selectivity. If the antenna-ground system has a resistance larger than 25 ohms, C7 will have to be set to a smaller capacitance in order to maintain the proper resonant resistance at point A in Fig. 5. If the capacitance of the antenna-ground system is greater than 200 pF, C7 will also have to be set to a lower value than if it were 200 pF. If the maximum capacitance of the capacitor used for C7 used is not large enough to enable a large enough bandwidth at the low end of sub-band 1, provision can be made to switch a 330 pF NPO ceramic cap in parallel with it. This may be needed if the antenna-ground system has too low a capacitance (small antenna).
The "capacitive" attenuators controlled by SW1 and SW2: Used for volume and selectivity control and are are designed so as to cause minimal tank circuit detuning when the equivalent circuit of the antenna-ground system has the same values as the old IRE simplified Dummy Antenna recommended for testing Broadcast Band radio receivers. It consists of a series combination of a 200 pF cap, 20 uH inductor and a 25 ohm resistance. The geometric mean of the sum of the reactances of the capacitor and inductor at 520 and 1710 kHz is -605 ohms. This is the reactance of a 279 pF capacitor (characteristic capacitance of the "capacitive" attenuator) at 943 kHz, the geometric mean of the BC band of 520-1710 kHz. The "capacitive" attenuators were designed for the specified attenuation values (15 and 30 dB) utilizing the 500 ohm resistive pi attenuator component values table shown in the book "Reference Data for Radio Engineers". The resistor values for 15 and 30 dB "capacitive" attenuators were normalized to 605 ohms, then the "capacitive" attenuator capacitor values were calculated to have a reactance, at 943 kHz, equal to the value of the corresponding "capacitive" attenuator shunt or series resistance. Since the "capacitive" attenuators, when switched into the circuit, isolate the antenna-ground system resistance from the tank circuit, selectivity is increased. If the series capacitance of the equivalent circuit of one's own antenna-ground system is 200 pF, at 943 kHz, practically no retuning is required.
If the equivalent L and C of one's own antenna-ground system differ substantially from those of the simplified IRE dummy antenna used in this design, one can normalize the values of the capacitors used in the "capacitive" attenuators to match one's own antenna-ground system. A method for measuring the parameters of an antenna-ground system is shown in Article #20.
Table 2 - Switch Functions for Version C
4. Tuning the Crystal Radio Set to to a specific frequency.
C8 is considered the primary tuning control. C7 is used, in conjunction with the capacity of the antenna-ground system to adjust selectivity to the designed value. It also has considerable interaction with the tuning frequency. There are two methods for tuning in a station of a known frequency that will result in the selectivity being fairly close to specification, as shown in table 5. One requires a knowledge of the capacitance of C8 vs. its dial setting. The second requires fitting C8 with a knob having a linear calibration of 0-100 over a 180 degree span and having a dial reading of zero at maximum capacity. To use this method C8 must be as specified in the parts list or an exact equivalent.
It is assumed that the tank inductor has the required 250 and 62.5 uH inductance values and is contra wound as described. Of course different inductance values can be used to make a good crystal radio set, but the graphs in Figs. 8 and 9 would have to be changed. It is also assumed, when using the figs. 8 or 9, that the impedance of the antenna-ground system being used is equal to that of the Standard Dummy Antenna.
Another method of tuning is to estimate from Table 3 the dial settings for C7 and C8 required to tune to the desired station. C7 and C8 can then be tuned together higher or lower to actually tune in the station. If more selectivity is desired, reduce the capacitance of C7 and retune C8. If the volume is too low, try increasing C7 and decreasing C8.
5. How to improve selectivity with
a relatively small loss in sensitivity, in addition
6. 'Loop Effect' of the tank inductor,
and how it can be used to tame
One can use local signal pickup by the tank (loop effect) to reduce the effect of interference from strong stations by rotating the crystal radio set about a vertical axis. The correct angle will generally reduce it.
7. Just how loud is a station that
delivers the amount of power necessary to operate the
Many Articles in this series have talked about the 'Linear to Square-Law Crossover' (LSLCP). Please bear in mind that the LSLCP is a point on a graph of DC output power vs input RF power of a diode detector system. It is not a point on a graph of DC current vs voltage of a diode. Two things can be said about a detector when it is fed a signal that operates it at its LSLCP. (1) A moderate increase of signal power will move the detector into its region of substantially linear operation. (2) A similar moderate decrease of input power will move it closer to its region of substantially square law operation where a 1 dB decrease of input power results with a 2 dB decrease of output power.
The crystal radio set described in this Article is operating at its LSLCP if the rectified DC voltage at the 'Diode Bias' terminals is about 51 mV. This assumes a diode having an Is of 106 nA and an ideality factor of 1.03 (such as a selected Agilent HBAT5400 or an Infineon BAT62) is used, with R3 is set to 355k ohms. The audio volume obtained is usually a low to medium, easy-to-listen-to level when using sound power phones.
8. 'Short Wave ghost Signal', 'background hash' and spurious FM reception
All single tuned crystal radio sets may be, in fact, considered double tuned (except single tuned loop receivers). The second response peak arises from resonance between the equivalent inductance of the antenna-ground system and the impedance it sees, in this case, the series combination of capacitors C7 and C8. This peak usually appears at a frequency above the broadcast band and gives rise to the possibility of strong so-called 'short wave ghost' signal interference when a short wave station has a frequency near the peak . The response at this "ghost" frequency can be made somewhat weaker and moved to a higher frequency if the antenna-ground system inductance is reduced. One can use multiple spaced conductors for the ground lead to reduce its inductance. I use a length of TV 300 ohm twin lead, the two wires connected in parallel for this purpose. Large gauge antenna wire, or spaced, paralleled multiple strands helps to reduce the antenna-ground system inductance (flat top antenna). If the down-lead is long compared to the ground lead, use multiple, paralleled, spaced conductors to reduce its inductance (similar to using a 'cage' conductor).
Another possible cause of 'ghost' signal reception resides in the fact that the response of the so-called single tuned circuit does not continuously drop above resonance as frequency rises, but only drops to a relatively flat valley before rising again to the second "ghost" peak. The frequency response above the main (lower) peak would drop monotonically (true single tuned operation) if the second peak did not exist. The relatively flat response valley that exists between the two peaks, provides the possibility (probably likelihood) of interference 'hash' if several strong SW stations picked up at frequencies in the valley range. This also is the cause of a strong local station, above the frequency of a desired station "riding through" and appearing relatively constant even if the tuning dial is moved. The response should drop at a 12 dB per octave rate above the second peak. A useful side effect of the response behavior of this type of circuit is that the response below the main resonance drops off at an extra fast rate of 12 dB per octave rate instead of an expected 6 dB.
The most effective way to substantially eliminate 'short wave ghost' and hash reception is to go to a double-tuned circuit configuration.
Spurious FM reception caused by so-called FM 'slope' detection can occur from close by local FM stations if a spurious FM resonance appears somewhere in the circuitry of a crystal radio set. If ground wiring is not done properly in the crystal radio set, spurious signals can get into the detector. The thing to do here is to run all the RF and audio grounds to one point as shown in Fig.5. Sometimes a small disc bypass capacitor, 22 pF or so, placed across the diode will help.
Another way to try to reduce FM interference is to put a wound ferrite bead 'choke' in series with the antenna and/or ground leads, if the FM interference is coming in on those leads. In order not to affect normal BC band reception, the resultant ferrite inductor should have a reasonable Q and a low inductance in the BC band. It should also exhibit a high series resistance at FM frequencies. Suitable wound ferrite chokes (bead on a lead) are made by the Fair-Rite Corp. as well as others. Two types available from Mouser are #623-29441666671 and #623-2961666671. This suggestion may also help reduce "short wave ghost" signal reception in some cases.
Note: See "Wiring the crystal radio set:", in Part 3, above.
Fig. 10 shows the simulated frequency response at the center of sub-band 1, from the antenna source to the RF input of the diode. The red graph and figures in the left panel show an insertion power loss of 2.4 dB with a -3 dB bandwidth of 6 kHz, along with the spurious response peak at 4.4 MHz, caused by the antenna-ground system inductance. The insertion loss at the spurious peak is 15 dB. The loss in the valley is 40 dB. The right graph and figures show the Input Return Loss (impedance match) at resonance to be -12.2 dB. The output return loss (not shown) is the same.
Fig. 11 shows the simulated frequency response at the center of sub-band 4, from the antenna-ground system source to the RF input of the diode. The red graph and figures in the left panel show an insertion power loss of 4.1 dB with a -3 dB bandwidth of 6 kHz, along with the spurious response peak at 6.9 MHz, caused by the antenna-ground system inductance. The insertion loss at the spurious peak is 20 dB. The loss in the valley is 47 dB. The right graph and figures show the Input Return Loss (impedance match) at resonance to be -8.5 dB. The output return loss is the same.
Fig. 10 and Fig.11 are actually simulations of the RF frequency response of version 'b' as described in Article #22. The response curves of version 'c', described in this article should be the same, with the exception of halving less loss at the peak response points. This is because of the higher tank Q in version 'c'.
The data in Table 5 show the insertion power loss when the crystal radio set is driven by a CW RF signal, with the diode feeding a resistive load of 355k. R3 is used for the resistive load and is set to 355k (be sure to disconnect any diode connected to the terminals when setting R3 for 355k). SW6 is set to the 'down' position. For greatest measurement accuracy, one should short out the series connected primaries of T1 and T2. The signal generator used in the measurements is adapted to have a source impedance equal to that of the standard IRE simplified dummy load (see Article #11). The expected diode detector power loss, at the output power level used, is about 5 dB. The remainder of the insertion loss shown in Table 5 is caused by losses in the inductive and capacitive parts of the tank. Weaker signals will result in a higher detector power loss, stronger signals, a lower loss. Some more info on detector power loss and LSLCP is given in Fig. 2 and its succeeding paragraph in Article #15a.
The signal level used was chosen to operate an HBAT5400 diode having an Is of 106 nA and an n of 1.03 near its LSLCP. The input RF voltage was set to cause a DC output voltage of 0.075 volts* across the R3=355k ohms (measured at the 'Diode DC V.' terminals). This gives an output power of -78 dBW. The signal generator output was varied, depending on the insertion power loss of the passive components as measurements were made at the different frequencies. In practice, one should add about 1.0-2.0 dB to the insertion power loss shown in Table #5 to allow for a typical audio transformer loss. In actual practice, of course, one uses an audio load (headphones), fed through the audio transformer, instead of a resistor for the diode load.
*A diode detector is operating at its LSLCP when its DC load resistance is R=n*0.0257/Is and the detected DC across it is 0.051 volts.
This CW method of measuring loss is much easier than the more complicated
general method using AM modulation, as shown in Article #11.
10. A method for measuring the unloaded Q of an L/C resonator
11. Important information re: maximizing
unloaded tank Q,
Every effort should be made to achieve as high an unloaded tank Q as possible in order to minimize RF loss at the desired -3 dB bandwidth (selectivity), and especially when using narrower bandwidths. Somewhat greater insertion power loss and/or broader selectivity may result if components having a greater dielectric loss than those specified are used. Sensitive areas for loss are:
12. Appendix: Design approach for double and single tuned Benodyne versions, as posted to the Discussion Group Rap 'n Tap (edited).
Ben H. Tongue Posted - 25 February 2005 15:53; The Benodyne approach to a double-tuned crystal radio set is shown in Article #23. The basic circuit is that of a conventional double-tuned circuit operating with equal loaded-Q values for primary and secondary. I decided to use equal values of inductance for the primary and secondary coils for convenience. The reason to use the two varicaps, C7 and C8 (in the primary circuit in unit #1), connected as they were in the crystal radio set in Article #22, is to enable an adjustable impedance transformation (vs. Frequency) between the antenna-ground system source resistance (assumed to be 25 ohms) and the top of the tank (point A). Since the primary and secondary inductors are of the same value and their loaded Q values are designed to be equal, the transformed antenna-ground resistance at the top of the primary tank should be made the same as that at the top of the secondary tank, including loading from the diode. These values are approximately (at band center): LoLo band:250k; HiLo band:500k; LoHi band:500k; HiHi band:1000k. Since the diode RF load is tapped at the 0.707 voltage point for bands HiLo and HiHi, the RF resistance driving the diode is in these cases is 250k and 500k respectively, the same as in the case of the LoLo and HiLo bands. If the diode was not tapped at the 0.707 voltage point for bands HiLo and HiHi, their band-center -3 dB bandwidths would be twice as wide as those of bands LoLo and LoHi. This equalizes all four band-center bandwidths to the desired value. If the tank inductance were the same for the four bands, the -3dB bandwidth at the center of the LoHi and HiHi bands would be four times as great as that at the center of the LoLo and HiLo bands. To correct this condition, the tank inductance in bands LoHi and HiHi is reduced from the 250 uH used in bands LoLo AND HiLo to 62.5 uH. This reduces the -3dB bandwidths at the center of bands LoHi and HiHi so they are the same as the bandwidths at the center of the LoLo and HiLo bands. There is some conflict in the design of a crystal radio set for best performance on strong signals (well above the "Linear-to-square-law crossover point), and one designed for weak signals (well below the "Linear-to-square-law crossover point), when one uses the same diode and audio transformation in both instances. This is because for strong signals, the RF input resistance of the diode detector is about half the audio load resistance, and the audio output resistance of the detector diode is about 2 times the RF source resistance driving it. The conditions for weak signal reception are different. Both the input RF and the output audio resistance of the diode detector are equal to the axis-crossing resistance of the diode. This resistance is Rd=0.026*n/Is (see Article #0 for a discussion on this). The compromise selected was to make the audio load resistance about 325k ohms. The design is optimized for a compromise diode having an Is of about 100 nA and an n of about 1.03. This diode has an axis-crossing resistance of 265k ohms. Most ITT FO-215 diodes have this characteristic. Many others can be used, with little effect on strong signal performance. The diode has more effect on weak than on strong signal performance. A ferrite stick inductor could do well for the coil in the antenna tuner (unit #1) if it has a high enough Q.
Bear in mind that the secondary coil should be constructed with the 250/62.5 uH contra wound arrangement and the 0.707 voltage taps. For this unit, the detector tuner, a 365 pF variable cap would be OK; the extra capacitance of a 485 pF capacitor is not necessary. The inductor for the antenna tuner should be constructed using the contra wound 250/62.5 uH arrangement, but no 0.707 voltage taps are needed.
It is possible to build a double-tuned Benodyne using primary and secondary coils of unequal values. I chose using equal values. A higher inductance for the primary might give some impedance matching problems at the low end of the LoLo band. A lower inductance for the secondary would require a lower RF loading resistance from the diode, thus requiring a diode having a higher Is. Look at Fig. 2 in Article #27 to see how weak signal sensitivity is reduced when using diodes having higher values of Is. For anyone interested in building a single or double-tuned Benodyne, it is suggested that the design be based on version "c" described in this Article, and not version "b", described in Article #22.
#26 Published: 02/10/2003; Revised: 10/23/2006