Rediscovering the Band-Imaging Receiver

By taking advantage of certain characteristics of superhet action not normally used, it is possible with one pair of coils to cover both the 80- and 40-meter ham bands as well as ranges where commercial point-to-point c.w. and shortwave broadcast signals may be found.—Donald H. Mix, W1TS, "A Beginner's Four-Tube Superhet Receiver," QST, March 1950 CE

Minimizing reception at the image frequency is fundamental to useful practical application of the superheterodyne principle—unless the image happens to lie in another amateur radio band, and you want to receive it. This page explores the band-imaging receiver topology popularized in the 1950s by Byron Goodman, W1DX—a design approach that uses a single local-oscillator tuning span to receive either of two bands without oscillator-tank switching, each band the image of the other.


We see its pre-echo in George Grammer, "A Two-Tube Superhet," QST, February 1941 CE, pages 12–15 and 92: In a simple regenerative-detector-behind-a-mixer receiver with a 1.6-MHz intermediate frequency (IF), the same plug-in oscillator coil is used to tune the ranges 5.4–10.0 and 9.5–14.5 MHz. Wrote Grammer:

      It will be noted that the same oscillator coil, D, is used for two frequency ranges. This is possible because the oscillator signal is placed on the low-frequency side of the signal on the higher range. This not only avoids winding a second coil, but also gives somewhat greater stability at the highest-frequency range. . . .
      A word about images. The receiver will, of course, respond to signals either 1600 kc. higher or 1600 kc. lower than the oscillator frequency. The unwanted response, or image, is discriminated against by the tuning of the r.f. circuit. On the three lower-frequency ranges, when it is possible to find two tuning spots on
C1 at which incoming random noise peaks up, the lower-frequency peak (the one requiring the highest tuning capacity at C1) is the right one. The oscillator frequency is 1600 kc. higher than that of the incoming signal on these three ranges. On the fourth range the reverse is true, since here the oscillator is tuned 1600 kc. lower. Actually, it does not matter a great deal which side is used except for calibration purposes.
Schematic of the 6K8–6C8G superheterodyne/regenerative-detector receiver.
Figure 1—Schematic diagram of the 6K8–6C8G superheterodyne/regenerative-detector receiver. Band imaging is used on its upper two tuning ranges as shown in Figure 2. The intermediate frequency used is approximately 1600 kHz. In a post-World-War-2 ARRL Handbook or two (the 1948 edition, for example), the 6C8G was replaced by a 6SN7 and slug-tuned, shielded National Company coil forms were used.
Coil specifications table showing use of the same RF coil for two bands, the frequency relationship between which reflects band imaging.
Figure 2—Coil specifications table for the 6K8–6C8G superhet-regen receiver. The red box highlights the use of the same RF coil for two tuning ranges, the frequency relationship between which reflects band imaging.

The two-bands-for-the-price-of-one story of the band-imaging receiver continued in earnest in 1950 with the publication in March 1950 CE QST of "A Beginner's Four-Tube Superhet Receiver," by Don Mix, W1TS, and in July 1950 CE CQ of "The Secret Weapon" by Howard J. Hanson, W7MRX. Examining both in detail provides strong clues to why Hanson's each-band-the-image-of-the-other approach prevailed and (likely) served as the basis for later ongoing work by Goodman.

Designed to keep the cost of a first-time amateur radio station down, Mix's receiver provided coverage of two bands at a time (principally, 80 meters [3.5 to 4.0 MHz] and 40 meters [7.0 to 7.3 MHz], although coverage of the 20-meter [14-MHz] band could also be installed, and may have been added as an afterthought) without switching or unplugging any frequency-determining components. Unlike Grammer's simple receiver, Mix's circuit uses band-imaging as a fundamental feature: The receiver covers its two principal signal-frequency ranges with one local-oscillator (LO) tuning span (5.0–5.8 MHz), which converts both bands to a relatively high (1.5-MHz) IF to allow selection of LO−IF or LO+IF with simple signal-frequency filtering, one range the image of the other. The novelty of Mix's implementation is that coverage of the two bands is arranged end-to-beginning on the tuning dial, with 4.0 MHz on the 80-meter band (LO, 5.5 MHz) corresponding to 7.0 MHz on the 40-meter band (Figure 3). Only retuning the RF-input grid of the 6SB7Y converter is necessary to change from one band to the other.

Slide-rule-like table showing alignment of 3500- to 4300-kHz and 6500- to 7300-kHz band images relative to a 5000- to 5800-kHz local oscillator tuning range as implemented by Donald Mix, W1TS.
Figure 3—Don Mix's band-imaging arrangement tuned the 80-meter amateur radio band (3500 to 4000 kHz, orange) and the 40-meter amateur radio band (7000 to 7300 kHz, blue) with a single 800-kHz-wide local-oscillator tuning range (5000 to 5800 kHz).

Arranging the bands end to end seemingly wastes revolutions of the set's 6:1-reduction tuning dial on non-amateur frequencies: 4.0 to 4.3 MHz on 80 meters, and 6.5 to 7.0 MHz on 40. This equates to 3/8 of the tuning range on 80 and 5/8 of the range on 40—a significant decrease of the tuning-speed reduction achievable with a 6:1 dial. But Mix had intentionally traded tuning rate for greater rejection of strong local amateur-radio signals in the image band:

The single tuned input circuit cannot be expected to provide too much selectivity. Even the high intermediate frequency, which increases the frequency gap between the desired signal and its image, does not result in sufficient separation to take care of a strong image from a local ham station. With the tuning range selected, it will be noted that the images of each of the two ham bands fall outside the other. Therefore a strong local ham signal in one band will not cause interference in the other.

A fundamental aspect of Mix's design would have been as problematic in 1950 as it is today: 1500 kHz, the design's intermediate frequency, lies within the mediumwave broadcast band. Any builder within day or night range of a broadcaster on that frequency—for example, a 50-kilowatt station on that frequency has served Washington, DC, and the mid-Atlantic region since 1941—would to some degree have heard its signal interefering with the receiver's IF.

One Band Exactly Mirrors the Other: Howard Hanson's "Secret Weapon" Receiver

Published in July 1950 CE CQ, "The Secret Weapon" by Howard J. Hanson, W7MRX, included in one portable package an 80- and 40-meter Boosted Pierce transmitter and an 80- and 40-meter band-imaging receiver that maximized use of the set's reduction tuning dial at amateur frequencies. Figure 4 diagrams its band-imaging scheme and Figure 5 shows its schematic diagram.

Characterizing the receiver's design as "peculiar", Hanson writes:

The receiver is designed to tune 3500–4000 kc and 7000–7500 kc, which it does with some slight overlap. To simplify the band changing problem, the intermediate frequency was chosen as 1750 kc, and the local oscillator covers a frequency of 5250–5750 kc. This means that with the local oscillator at 5250 kc, either 3500 kc or 7000 kc will beat with it to produce the required 1750 dc. The antenna tuner [included with the transmitter] and the [transmitter output] tuned circuit will eliminate one of the two images, allowing only the other to come through.
Slide-rule-like table showing alignment of 3500- to 4000-kHz and 7000- to 7500-kHz band images relative to a 5250- to 5750-kHz local oscillator tuning range as implemented Howard J. Hanson, W7MRX.
Figure 4—Howard Hanson's "Secret Weapon" band-imaging receiver maximized tuning-rate reduction by reducing the set's tuning range to 500 kHz and aligning the lower edge of the 80- and 40-meter bands at the same point on the dial. This necessitated the use of a 1.75-MHz IF ([7000–3500] divided by 2) and required an LO tuning range of 5250 to 5750 kHz. Without prodigious shielding and interstage filtering, harmonics of the set's 1.75-MHz regenerative detector would be audible at 3500 and 7000 kHz—arguably a plus, as these signals could serve as built-in tuning markers. (Which markers—as evidenced by a receiver at W9BRD that uses this conversion scheme—may have a somewhat unusual sound for the reason that with its local oscillator tuned to 5250 kHz for reception of 3500 and 7000 kHz, the receiver hears not only its second and fourth IF harmonics, but also the results of interaction between the third IF harmonic [5250 kHz] and the local oscillator signal.) The use of 1750 kHz as the set's intermediate frequency avoided the broadcast-station IF interference that likely troubled builders of Mix's receiver in (at least) the US Northeast.
Schematic diagram of 80- and 40-meter receiver by Howard J. Hanson, W7MRX.
Figure 5—The schematic diagram of Howard Hanson's "Secret Weapon" band-imaging receiver. The output tuned circuit of the Secret Weapon's Boosted Pierce transmitter was switched from the transmitter to the 6BE6 input with the set's transmit-receive switch set to Receive.

Goodman Improves Image Rejection and Selectivity

Three years later, Byron Goodman, W1DX, improved on Hanson's band-imaging arrangement with the publication of "A Good Four-Tube Superhet" on pages 19–24, 108, 110, and 112 of January 1953 CE QST. In his evolved approach, Goodman again converted 80 and 40 meters to a high IF (1.7 MHz), but this time used double-tuned-circuit front-end filtering for greater image rejection. This required use of an LO span (5.2–5.7 MHz) that spread 80-meter coverage across the entire dial while centering 40-meter coverage in the middle 3/5 of the dial (Figure 6). As in the Mix and Hanson receivers, Goodman's choice of IF made the even-100-kHz points of both bands coincide for friendly dial-calibration ergonomics. Goodman further improved on the Mix and Hanson designs by using double conversion—in this case, again converting the set's 1.7-MHz IF to 100 kHz for additional selectivity.

Slide-rule-like table showing alignment of 3500- to 4000-kHz and 6900- to 7400-kHz band images relative to a 5200- to 5700-kHz local oscillator tuning range as implemented by Byron Goodman, W1DX.
Figure 6—Made practical by greater image rejection from double-tuned-circuit front-end filtering, Byron Goodman's band-imaging arrangement also overlaid 80- and 40-meter coverage through use of a 500-kHz-wide local-oscillator tuning range. The IF is 1700 kHz, the second harmonic of which falls outside the 80-meter band.

Goodman's choice of a 1.7-MHz first IF avoided the IF broadcast interference that likely occurred with Mix's 1.5-MHz-based design in some areas of the world. With the upper limit of the mediumwave broadcast band having since been moved to 1705 kHz, receivers that use a 1.7-MHz IF can now be interfered with by broadcast stations operating at that frequency. Hanson's choice of 1750 kHz for an IF still passes the test of time.

Band-Imaging Receiver References

George Grammer, W1DF, "A Two-Tube Superhet," QST, February 1941 CE, pages 12–15 and 92.

Donald H. Mix, W1TS, "A Beginner's Four-Tube Superhet Receiver," QST, March 1950 CE, pages 11–17; Feedback, QST, June 1950, page 39.

Howard J. Hanson, W7MRX, "The Secret Weapon," CQ, July 1950 CE, pages 26–28, 58, 59.

Byron Goodman, W1DX, "A Good Four-Tube Superhet" QST, January 1953 CE, pages 19–24, 108, 110, and 112.

Byron Goodman, W1DX, "The '2B3' Superheterodyne," QST, September 1955 CE, pages 12–15.

Lewis G. McCoy, W1ICP, "A Selective Converter for 80 and 40 Meters," QST, January 1956 CE, pages 38, 39, 130, 132.

Lewis G. McCoy, W1ICP, "The 'Bonus' 21-Mc. Converter," QST, October 1958 CE, pages 33–35, 162.

Byron Goodman, W1DX, "The 'SimpleX Super' Receiver," QST, December 1958 CE, pages 11–14, 178, 180.

"The 'SimpleX Super Mark II' Three-Tube Receiver," The Radio Amateur's Handbook (ARRL), 1962 CE edition, pages 116–119.

"The 2X4+1 Superheterodyne," The Radio Amateur's Handbook (ARRL), 1962 CE edition, pages 120–124.

"The HB-65 Five-Band Receiver," The Radio Amateur's Handbook (ARRL), 1965 and 1966 CE editions.

Wes Hayward, W7ZOI, "Building Spectral Purity into a Band-Imaging Transceiver," QST, August 1990 CE, pages 39–40.

Ron D'Eau Claire, AC7AW, "The Simple Superhet," QST, November 2003 CE, pages 31–37. This design converts the 7- and 14-MHz amateur radio bands to an IF of 3.5 MHz—using 12-V-plate-and-screen tubes.

More will be included, from two in Solid-State Design for the Radio Amateur to my 10- and 18-MHz design in the 1988 CE Radio Amateur's Handbook to multiple 80-and-20-meters-to-9-MHz-with-a-5-MHz-VFO derivatives from the growth-of-SSB-ham-radio era to the Panasonic RF-2200 and related multiband receivers, the HF coverage of which was implemented as three pairs of imaged bands based on a first IF of 1.985 MHz.

Local-Oscillator Imaging

Although they cover two bands with one LO tuning range, the 80-and-20-meters-to-9-MHz species and similar band-imaging topologies might more accurately be termed LO imaging, as the bands covered are not images of each other (that is, are not separated in frequency by twice the IF) but rather are separated by twice the LO frequency. Another hallmark of this arrangement is that each band "tunes backwards" relative to the other, as in the following several examples:

LO Imaging 20 and 80/75 Meters with a 9-MHz IF

RF 14.0 – 14.5 MHz
LO  5.0 –  5.5 MHz
RF  4.0 –  3.5 MHz

LO Imaging 30 and 160 Meters with a 6-MHz IF

RF 10.0 – 10.2 MHz
LO  4.0 –  4.2 MHz
RF  2.0 –  1.8 MHz

LO Imaging 40 and 80 Meters with a 5.35-MHz IF

RF 7.0  – 7.2 MHz
LO 1.65 – 1.85 MHz
RF 3.7  – 3.5 MHz

This last topology is impractical because of its significant built-in crossover responses: Harmonics of the LO interfere with IF (at 3LO) and RF on 80 meters (2LO) and 40 meters (4LO) when the LO is tuned to 1.78333 MHz to receive 3.5666 MHz or 7.1333 MHz. Considering these relationships for awhile, we realize—assuming that we want to cover only 80- and 40-meter frequencies commonly used for CW operation (3.5 to 3.6 MHz and 7.0 to 7.125 MHz)—that only an IF higher than 5.4 MHz will do. Better yet, the true band-imaging scheme described by Goodman (using a 5.2- to 5.7-MHz LO to tune 3.5 to 4.0 MHz and 6.9 to 7.4 MHz with an IF of 1.7 MHz) is crossover-free.

Mix-Goodman Receivers at W9VES

None of my Mix-Goodman receivers includes a crystal filter or equivalent close-in band-pass selectivity.

The BG-1 is an 80- and 40-meter, 1.7-MHz-IF Mix-Goodman receiver I've been developing since late 2005 CE. In its initial configuration it used a 12SG7 pentode RF amplifier; BF998 dual-gate-MOSFET mixer; repurposed Kenwood R-599 VFO (4.9–5.5 MHz); 12SK7 pentode (triode-connected) IF cathode follower; 12SJ7 pentode high-C Hartley regenerative detector; 12SC7 dual triode (one section) audio voltage amplifier in the headphone chain; 2N3819 JFET voltage amplifier in the headphone chain; 2N3819 JFET line-output voltage amplifier; and 12A6 beam power tube (triode-connected) as a cathode-follower headphone amplifier.

The BG-1's high-C regenerative detector is the result of experiments inspired by the stability of the 40-meter regenerative receiver I published in September 1992 CE QST. The detector in that design used a total of about 200 pF as its tuned-circuit capacitance—at 7.04 MHz, a reactance of 113 ohms, which, scaled to the 1.7-MHz IF of the BG-1, equates to about 820 pF. With the notable exception of the intentional use of relatively high C by George Grammer, W1DF ("Rationalizing the Autodyne," QST, January 1933 CE, pages 11–16 and 23), ham-radio practice up through the 1930s generally held that regenerative detectors should be relatively low-C—that is, that a regenerative detector's tuned circuit should exhibit a relatively high impedance for the purpose of achieving higher tank voltage. Yet my experience with high-C detectors reveals that a storied principal weakness of the regenerative detector, "pulling in" when the frequency difference between the detector and strong signals is no more than a few hundred hertz, can be greatly reduced by using a high-C detector tank.

Ongoing experiments with the BG-1's audio lineup resulted in its present configuration: 12SC7 dual triode (one section as audio-filter "send" amplifier, the other as audio-filter "receive" amplifier); 12SC7 dual triode (one section as audio voltage amplifier in the headphone chain, the other section as audio voltage amplifier for line output); and triode-connected 12A6 beam power tube as headphone amplifier. Switchable surplus audio filters between the sections of the first 12SC7 allow a choice of no filtering; 400-Hz low-pass filtering; and 1-kHz low-pass filtering.

The BG-2 began as 3- to 6-MHz "Command" receiver (IF, 1.415 MHz) that I obtained with the intention of expanding its tuning range through band-imaging by building out its RF amplifier stage to include switchable coils to cover spectrum below its local oscillator (its original design) and above its local oscillator (giving 40-meter amateur radio band coverage in the resulting 5.83- to 8.83-MHz range). In evaluating the receiver, however, I discovered that a previous owner had modified it to cover only 3.33 to 3.83 MHz by removing all but three rotor plates from each of the three sections of its tuning capacitor. (Hint: Removing plates from a variable capacitor to reduce its capacitance range is almost never necessary; paralleling a variable with additional capacitance and seriesing the pair with another capacitance is one non-destructive, reversible alternative.) A toggle switch, two air-dielectric trimmer capacitors and a 40-pF padding capacitance later, I had modified the local oscillator to provide reception from 3.475 to 3.640 MHz and from 6.995 to 7.180 MHz.

The BG-3 receiver (originally 6AZ8 pentode mixer, triode Hartley local oscillator; 6AZ8 pentode 1.7-MHz, high-C (≅755 pF) Hartley regenerative detector; 6GV8 triode AF voltage amplifier, 6GV8 triode-connected-pentode cathode-follower headphone amplifier) began as a vacation-station-in-box project and (as of mid-August 2009) continues as an experimental platform for improvements to and variations on Goodman's 2B3 and SimpleX Super designs of the 1950s and 1960s CE. Changes from its initial lineup include:

Schematic diagram of pentode mixer with cathode oscillator injection by Byron Goodman, W1DX.
Figure 7—After having used a 6SB7Y pentagrid first converter in his initial band-imaging receiver (January 1953 QST), Goodman used variations on this circuit, a pentode with cathode oscillator injection, for all but his final band-imaging design (the 7360-beam-deflection-tube-mixer-based HB-65 receiver of the 1965 and 1966 CE editions of the ARRL Radio Amateur's Handbook). The direct coupling between the oscillator and mixer result in two shortcomings that make this arrangement problematic: Couplng the oscillator's feedback coil to the mixer cathode makes the mixer regenerative—it can oscillate, especially when its grid is lightly loaded and/or with lower values of cathode resistance—and tuning the mixer grid pulls the oscillator somewhat, even at 3.5 and 7 MHz. (Versions that use a triode-pentode tube with the pentode suppressor grid hardwired to the pentode cathode [6U8, 6EA8, and so on] for the mixer and oscillator functions also have the shortcoming of capacitively coupling the LO signal to the pentode plate; using a 6AZ8, 6CH8, or 6KT8 and grounding the correct heater pin [5]; or using a 6CL8 triode-tetrode, solves this problem.) This concept-only depiction does not show the double-tuned mixer grid circuitry Goodman used to improve image rejection in several variations of this circuit.

Wrote Goodman of his 6AC7 mixer in "Some Notes on Improving Small-Receiver Performance," QST, December 1953, pages 45–47:

Getting the oscillator signal into the grid circuit of the pentode mixer takes a little doing, and it isn't just a matter of running a coupling condenser over to the 6AC7 grid. This will work at higher frequencies or with a lower i.f., of course, but here we had a choice between inductive coupling and cathode injection, and decided on the latter. As can be seen from the revised wiring diagram . . . a 0.001-μF condenser is connected between the oscillator plate and mixer cathode. Thus the r.f. voltage appearing across the plate coil of the oscillator is applied across the 1500-ohm cathode resistor of the mixer. The oscillator still oscillates, of course, and is as stable as when running unloaded. The mixer will be regenerative and can oscillate if the gain is too high, but with the values given the mixer is completely free from oscillation.
In a mixer of this type, the high-frequency oscillator voltage swings the grid at an r.f. rate through wide changes in mutual conductance. If the oscillator voltage is too low, the conversion efficiency will not be as high as it can be made, and the oscillator voltage should be such that it swings to within a fraction of a voltage of running into the grid-current region, although it does [not] appear to be critical. With the values shown, the cathode bias runs a little higher than 2 volts and the sceen voltage is down around 60. With the antenna disconnectd, the mixer is still slightly regenerative (as indicated by the sharp peaking of the input circuit C1-L1-L2), and if the 1500-ohm cathode resistor is reduced in value to 680 or 1000 ohms the mixer will oscillate. The best value of cathode resistor is the lowest one that makes the mixer regenerative without oscillation when the antenna is disconnected.
Schematic of pentode mixer with cathode oscillator injection via triode-cathode-follower oscillator buffer amplifier.
Figure 8—Adding a buffer amplifier between the mixer cathode and oscillator removes the primary cause of mixer regeneration and reduces pulling to essentially zero at 3.5 and 7 MHz and to tens of hertz at the LO frequency. (The mixer is still somewhat regenerative because of the Colpitts capacitive voltage divider formed by the 6AC7's grid-to-cathode and capacitance and the cathode-to-common capacitances of the 6AC7 and oscillator-buffer triode.) This depiction shows a Hartley oscillator; the Armstrong oscillator (tuned grid with feedback via a plate ticker coil) used by Goodman would work as well with the buffer grid coupled to the oscillator plate. The mixer and buffer cathode resistances can be combined into a single resistor if the cathodes are dc-coupled; capacitive coupling between them allows separate cathode-bias adjustment of both stages. Both approaches have been tried and work well. With a 47-Ω resistor between its grid and input tuned circuit, Goodman's original high-transconductance-pentode band-imaging mixer (based on the 6AC7 as described in December 1953 CE QST) is also stable across its full input tuning range with this circuit.
Schematic of 12SJ7 pentode Hartley regenerative detector and audio cathode follower.
Figure 9—This 12SJ7 regenerative detector circuit, here teamed with a 12JN8 triode cathode follower to drive solid-state, op-amp-based audio filtering, provides excellent resistance to pulling in CW and SSB reception. For operation at 1.7 MHz, the detector tuned circuit inductor (L, wound on a Micrometals T68-2 toroidal core [T130-2 in the BG-1]) resonates with a tuned-circuit capacitance (C) of about 820 pF. For operation at 455 kHz in an Allied A-2516 receiver, L is a tapped inductor repurposed from the 1560-kHz BFO assembly of a National NC-81X receiver, C is about 1400 pF, and the RF choke in the detector plate-circuit is 5 mH. Screen voltage at critical regeneration is 11 V in the BG-3 (1.7 MHz) and 10 V in the A-2516 (455 kHz). Generally, for a practical tradeoff between gain and pulling resistance, I run the BG-3 detector at a screen voltage of 13 to 14; the A-2516 detector, 23 to 25. (To see the picture at a more-readable size, right-click it, and then click View Image [or its equivalent in your browser].)
Schematic of 12SJ7 pentode Hartley regenerative detector and audio cathode follower.
Figure 10—Cascode-connecting the two triodes of a dual-triode tube (in practice, I use a 12AU7ish dual triode or triode-connected pentodes) forms a synthetic tetrode that I find is quieter (less hissy) and offers smoother regeneration control than the 12SJ7 pentode.

The IF-Agile Receiver exists only in idea form at present. I envision it as using a single LO range (5.1 to 5.7 MHz or so) to cover multiple MF/HF ham bands through the use of switchable front-end filtering and selectable IFs at appropriate CPU-clock-crystal frequencies, with NE602 Gilbert Cell ICs used as its converter and product detector. David White, WN5Y, has pioneered the IF-agile idea with his high-performance Electroluminescent Receiver, a four-band band-imaging design with switchable IF filters at 3.547 and 4.000 MHz.

[to be continued...]

Revised December 26, 2015 CE. Copyright © 2007–2015 by David Newkirk ( All rights reserved.