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Sec. 4–13 Detector Circuits 281<br />

This demonstrates that the quadrature detector detects the modulation on the input FM signal.<br />

The quadrature detector principle is also used by phase-locked loops that are configured to<br />

detect FM. [See Eq. (4–110).]<br />

As indicated by Eq. (4–80), the output of an ideal FM detector is directly proportional<br />

to the instantaneous frequency of the input. This linear frequency-to-voltage characteristic<br />

may be obtained directly by counting the zero-crossings of the input waveform. An FM<br />

detector utilizing this technique is called a zero-crossing detector. A hybrid circuit (i.e., a<br />

circuit consisting of both digital and analog devices) that is a balanced FM zero-crossing<br />

detector is shown in Fig. 4–18. The limited (square-wave) FM signal, denoted by v 1 (t), is<br />

LPF<br />

Q<br />

v 2 (t)<br />

v in (t)<br />

Limiter<br />

v 1 (t)<br />

Monostable<br />

R<br />

+<br />

multivibrator<br />

C<br />

v out (t)<br />

(Q pulse width<br />

Differential<br />

T c 1<br />

amplifier<br />

is –– = –– ) –<br />

2 2f c Q<br />

v 3 (t)<br />

R<br />

C<br />

-<br />

LPF<br />

(a) Circuit<br />

1<br />

Waveform for the case of the instantaneous frequency f i >f c where f i =––<br />

T i<br />

T i<br />

v 1 (t)<br />

t<br />

Limiter output<br />

Q<br />

v 2 (t)=DC level of Q<br />

Q monostable output<br />

T c /2<br />

–<br />

Q<br />

–<br />

v 3 (t)=DC level of Q<br />

t<br />

–<br />

Q monostable output<br />

t<br />

(b) Waveforms ( f i >f c )<br />

Figure 4–18<br />

Balanced zero-crossing FM detector.

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