Figure 4-5
AM signal containing not only the carrier and sidebands but also the modulating signal. Envelope of modulating sine wave
Figure 4-6
The tuned circuit filters out the modulating signal and carrier harmonics, leaving only the carrier and sidebands. Diode AM
V c
f c f m
f c f m
f c V m
Resonant at the carrier frequency
Output spectrum
4-2 Amplitude Modulators Amplitude modulators are generally one of two types: low level or high level. Low-level modulators generate AM with small signals and thus must be amplified considerably if they are to be transmitted. High-level modulators produce AM at high power levels, usually in the final amplifier stage of a transmitter. Although the discrete component circuits discussed in the following sections are still used to a limited extent, keep in mind that today most amplitude modulators and demodulators are in integrated-circuit form.
Low-Level AM
Low-level AM
Diode Modulator. One of the simplest amplitude modulators is the diode modulator
Diode modulator
described in Sec. 4-1. The practical implementation shown in Fig. 4-7 consists of a resistive mixing network, a diode rectifier, and an LC tuned circuit. The carrier (Fig. 4-8b) is applied to one input resistor and the modulating signal (Fig. 4-8 a) to the other. The mixed signals appear across R3. This network causes the two signals to be linearly mixed, i.e., algebraically added. If both the carrier and the modulating signal are sine waves, the waveform resulting at the junction of the two resistors will be like that shown in Fig. 4-8(c), where the carrier wave is riding on the modulating signal. This signal is not AM. Modulation is a multiplication process, not an addition process. The composite waveform is applied to a diode rectifier. The diode is connected so that it is forward-biased by the positive-going half-cycles of the input wave. During the negative portions of the wave, the diode is cut off and no signal passes. The current through the diode is a series of positive-going pulses whose amplitude varies in proportion to the amplitude of the modulating signal [see Fig. 4-8(d )]. )].
Amplitude Modulator and Demodulator Circuits
121
Figure 4-7
Amplitude modulation with a diode. Fig. 4-8( a ) Modulating signal Fig. 4-8( b ) Carrier
R 1
Fig. 4-8( c ) Fig. 4-8( d ) D 1
R 2
AM output Fig. 4-8( e ) R 3
Figure 4-8
C
L
Waveforms in the diode modulator. (a) Modulating signal. (b) Carrier. (c) Linearly mixed modulating signal and carrier. (d ) Positive-going signal after diode D1. (e) Am output signal.
(a )
(b )
(c )
(d )
(e )
These positive-going pulses are applied to the parallel-tuned circuit made up of L and C , which are resonant at the carrier frequency. Each time the diode conducts, a pulse of current flows through the tuned circuit. The coil and capacitor repeatedly exchange energy, causing an oscillation, or “ringing,” at the resonant frequency. The oscillation of the tuned circuit creates one negative half-cycle for every positive input pulse. Highamplitude positive pulses cause the tuned circuit to produce high-amplitude negative pulses. Low-amplitude positive pulses produce corresponding low-amplitude negative pulses. The resulting waveform across the tuned circuit is an AM signal, as Fig. 4-8( e) illustrates. The Q of the tuned circuit should be high enough to eliminate the harmonics and produce a clean sine wave and to filter out the modulating signal, and low enough that its bandwidth accommodates the sidebands generated. 122
Chapter 4
Figure 4-9
Simple transistor modulator. V CC
Carrier
AM
Modulating signal
This signal produces high-quality AM, but the amplitudes of the signals are critical to proper operation. Because the nonlinear portion of the diode’s characteristic curve occurs only at low voltage levels, signal levels must be low, less than a volt, to produce AM. At higher voltages, the diode current response is nearly linear. The circuit works best with millivolt-level signals.
Transistor Modulator. An improved version of the circuit just described is shown
Transistor modulator
in Fig. 4-9. Because it uses a transistor instead of the diode, the circuit has gain. The emitter-base junction is a diode and a nonlinear device. Modulation occurs as described previously, except that the base current controls a larger collector current, and therefore the circuit amplifies. Rectification occurs because of the emitter-base junction. This causes larger half-sine pulses of current in the tuned circuit. The tuned circuit oscillates (rings) to generate the missing half-cycle. The output is a classic AM wave.
Differential Amplifier. A differential amplifier modulator makes an excellent amplitude modulator. A typical circuit is shown in Fig. 4-10( a). Transistors Q1 and Q2 form the differential pair, and Q3 is a constant-current source. Transistor Q3 supplies a fixed emitter current I E to Q1 and Q2, one-half of which flows in each transistor. The output is developed across the collector resistors R1 and R2. The output is a function of the difference between inputs V 1 and V 2; that is, V out A ( V 2 V 1 ), where A is the circuit gain. The amplifier can also be operated with a single input. When this is done, the other input is grounded or set to zero. In Fig. 4-10(a), if V 1 is zero, the output is V out A ( V 2 ). If V 2 is zero, the output is V out A ( V 1 ) AV 1. This means that the circuit inverts V 1. The output voltage can be taken between the two collectors, producing a balanced, or differential, output. The output can also be taken from the output of either collector to ground, producing a single-ended output. The two outputs are 180° out of phase with each other. If the balanced output is used, the output voltage across the load is twice the single-ended output voltage. No special biasing circuits are needed, since the correct value of collector current is supplied directly by the constant-current source Q3 in Fig. 4-10(a). Resistors R3, R4, and R5, along with V EE , bias the constant-current source Q3. With no inputs applied, the current in Q1 equals the current in Q2, which is I E /2. The balanced output at this time is zero. The circuit formed by R1 and Q1 and R2 and Q2 is a bridge circuit. When no inputs are applied, R1 equals R2, and Q1 and Q2 conduct equally. Therefore, the bridge is balanced and the output between the collectors is zero. 5
2
5
2
Differential amplifier modulator
5
5
2
Amplitude Modulator and Demodulator Circuits
Bridge circuit
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