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发表于 2017-1-10 21:07:25
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英文原文: 1/3
FM Crystal Radio Receivers
Radio, 2002, 7
The notion of "crystal radio" is strongly associated with huge antennas and radio broadcasting on long and medium bands, in this article, the author describes the experimentally tested detector circuits of VHF receivers designed to listening to a FM stations.
The very possibility of receiving VHF FM detector was discovered accidentally. One day I was walking in the Terletskiy park in Moscow, Novogireevo, I decided to listen to the broadcast - I had a simple crystal set without resonant tank (this circuit is described in the "Radio", 2001, № 1, Fig. 3). The receiver had a telescopic antenna with length of about 1.4 m. Wonder whether it is possible to receive radio broadcast with this short antenna? It was possible to hear, but weakly, simultaneous operation of two stations. But what is surprised me is the volume of receiving was rise and fall periodically almost to zero after every 5...7 m, and it was different for each radio station!
It is known that in the LW and MW bands, where the wavelengths are hundreds of meters, it is impossible. I had to stop at the point of receive with maximum volume of one of the stations and listen attentively. It turned out - this is "Radio Nostalgie", 100.5 MHz, broadcasting from the near city Balashikha. There were no line of sight between antennas. How does the FM transmission could be received by using the AM detector? Further calculations and experiments shows that it is quite possible and is not depends on the receiver.
A simple portable FM crystal receiver is made exactly the same way as an indicator of the electric field, but instead of measuring device it is necessary to connect a high-impedance headphones. It makes sense to add an adjustment of coupling between the detector circuit and the resonant tank to adjust the maximum volume and quality of the receiving signal.
The simplest Crystal radio
The circuit diagram of the receiver suitable for these requirements is shown in Fig. 1. This circuit is very close to the circuit of the receiver mentioned above. Only the VHF resonant tank has been added to the circuit.
Fig. 1.
VD1, VD2 - GD507A - an old USSR Germanium high-frequency diodes with the capacitance of 0.8 pF (at the reverse voltage of 5V), the recovery time of reverse resistance is no more than 0.1 uS (at the Idirect pulse=10 mA, Ureverse pulse=20 V, Icutoff=1 mA)
The device contains a telescopic antenna WA1, directly connected to the resonant tank L1C1. The antenna is also an element of the resonant tank, so to get the maximum power of the signal it must be adjust both the length of the antenna and the frequency of the tank circuit. In some cases, especially when the length of the antenna is about 1/4 of the wavelength, it is useful to connect the antenna to a tap of the tuning coil L1 (find the suitable tap of the coil by finding the maximum volume of the signal).
The coupling with the detector can be adjust by trimmer C2. Actually the detector is made of two high-frequency germanium diodes VD1 and VD2. The circuit is completely identical to the voltage doubling rectifier circuit, but the detected voltage would be doubled if only the trimmer capacitor C2 value is high, but then the load of the resonant circuit L1C1 would be excessive, and its quality factor Q will be low. As a result, the signal voltage in the circuit tank L1C1 will be lower and the audio volume will be lower too.
In our case, the capacitance of the coupling capacitor C2 is small enough and voltage doubling does not occur. For optimal matching the detector circuit with the tank circuit the impedance of the coupling capacitor must be equal to the geometric mean between the input resistance of the detector and the resonant resistance of the tank circuit L1C1. Under this condition, the detector is getting the maximum power of the high-frequency signal, and this is corresponding to the maximum audio volume.
The capacitor C3 is shunting the higher frequencies at the output of the detector. The load of the detector is headphones with the dc resistance of not less than 4K ohms. The whole unit is assembled in a small metal or plastic housing. The telescopic antenna with the length not less then 1m is attached to the upper part of the housing, and the connector or the jack for the phones is attached th the bottom of the housing. Note that the phone cord is the second half of the dipole antenna (a counterweight).
The coil L1 is frameless, it contains 5 turns of enameled copper wire with diameter of 0.6...1 mm wound on a mandrel with diameter of 7...8 mm. You can adjust the necessary inductance by stretching or compressing the turns of the coil L1. It's better use the variable capacitor C1 with an air dielectric, for example, type 1KPVM with two or three movable and one or two fixed plates. Its maximum capacity is small and can be in range of 7...15 pF. If the variable capacitor has more plates (the capacitance is higher), it is advisable to remove any of the plates, or connect the variable capacitor in series with a constant capacitor or a trimmer, it will reduce the maximum capacity.
The capacitor C2 is ceramic trimmer capacitor, such as a KPK or KPK-M with the capacity of 2...7 pF. Other trimmers capacitors could be used too. The trimmer capacitor C2 can be replaced with a variable capacitor, similar to C1, and it could be used to adjust the coupling "on the fly" to optimize radio receiving capabilities.
Diodes VD1 and VD2, can be GD507B, D18, D20 (it is old USSR Germanium high-frequency diodes. This diodes can be replaced with modern Schottky diodes). The shunting capacitor C3 is ceramic, its capacity is not critical and can have a value in range from 100 to 4700 pF.
Adjustment of the receiver is simple. Tune the radio by turning the knob on the variable capacitor C1 and adjust the capacitor C2 to get the maximum audio volume. The tune of the resonant tank L1C1 will be changed, so all operations must be repeated a few more times, and at the same time find the best place for the radio receiving. It is doesn't necessarily the same place where the electric field has maximum strength. This should be discussed in more detail and explain why this receiver can receive FM signals.
Interference and conversion of FM into AM
If the tank circuit L1C1 of our receiver (Fig. 1) will be set up so that the carrier frequency of FM signal falls on the slope of the resonance curve, the FM can be converted into AM. Let's find the value of Q of the tank circuit. Assuming that the bandwidth of the tank circuit L1C1 is equal to twice the frequency deviation, we obtain Q = F0 /Δ2f = 700 for both the upper and the lower VHF band.
The actual Q of the tank circuit in a crystal radio probably will be less than 700 because of the low Q-factor of its own Q (About 150...200) and because the resonant tank is shunted by the antenna and by the input impedance of the detector. Nevertheless, a weak transformation of FM into AM is possible, thus, the receiver will barely work if its tank circuit detune a little up or down in frequency.
However, there is much more powerful factor contributing to the transformation of FM into AM, - it is an interference. It's very rarely when the receiver is in the line of sight of radio station, in most cases the line of sight is obscured by buildings, hills, trees and other reflective objects. A few radio beams scattered by these objects comes to the antenna of the receiver. Even in the line of sight to the antenna comes some reflected signals (and of course, direct signal comes too). The total signal depends on both the amplitudes and phases of summing components.
The two signals are summed if they are in phase, i.e., the difference of their ways is multiple of an integer of the wavelength, and the two signals are subtracted if they are in opposite phase, when the difference of their ways is the same number of wavelengths plus half wavelength. But the wavelength, as well as the frequency varies at FM! The difference of the beams and their relative phase shift will vary. If the difference of ways is large, then even a small change in frequency leads to significant shifts in the phases. An elementary geometric calculation leads to the relation: Δf/f0 = λ/4ΔC, or ΔC = f0/λ/4Δf, where ΔC - the difference of the ways of the , it's required for the phase shift ±Π/2, to get the full sum of AM signal, Δf - frequency deviation. The full AM is the total variation of the amplitude signal from the sum of the amplitudes of the two signals to their difference. The formula can be further simplified if we consider that the multiply of frequency by the wave length f0λ is equal to the speed of light c: ΔC = c/4Δf.
Now it is easy to calculate that to get a full AM of the two-beam FM signal, the sufficient difference between the ways of beams is about a kilometer. If the difference of ways is smaller, the depth of AM proportionally decreases. Well, but if the difference of ways is more? Then, during one period of the modulating audio signal the total amplitude of the interfering signal will pass several times through the highs and lows, and distortion will be very strong when converting FM into AM, up to complete indistinct of the sound when you receive the FM by an AM detector.
Interference with FM broadcast reception is an extremely harmful phenomenon. It is not only produces a concomitant parasitic AM of a signal, as it is described above, but it is produces the parasitic phase modulation, what leads to distortion even if we got a good FM receiver. That's why it is so important to place the antenna in the right location, where the only one signal prevails. It is always better to use a directional antenna, because it increases the magnitude of the direct signal and reduces reflections coming from other directions.
Only in this case with a very simple detector radio receiver the interference played a useful role and allowed us to listen to the radio broadcast, but the radio broadcast can be heard weakly or with significant distortions, and the radio broadcast can't be heard everywhere, but only in certain places. This explains the periodic changes in the volume of the radio broadcast in the Terletskiy park.
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