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274 Bandpass Signaling Principles and Circuits Chap. 4 4–13 DETECTOR CIRCUITS As indicated in Fig. 4–1, the receiver contains carrier circuits that convert the input bandpass waveform into an output baseband waveform. These carrier circuits are called detector circuits. The sections that follow will show how detector circuits can be designed to produce R(t), u(t), x(t), or y(t) at their output for the corresponding bandpass signal that is fed into the detector input. Envelope Detector An ideal envelope detector is a circuit that produces a waveform at its output that is proportional to the real envelope R(t) of its input. From Eq. (4–1b), the bandpass input may be represented by R(t) cos[v c t + u(t)], where R(t) Ú 0; then the output of the ideal envelope detector is v out (t) = KR(t) (4–74) where K is the proportionality constant. A simple diode detector circuit that approximates an ideal envelope detector is shown in Fig. 4–13a. The diode current occurs in pulses that are proportional to the positive part of the input waveform. The current pulses charge the capacitor to produce the output voltage waveform, as illustrated in Fig. 4–13b. The RC time constant is chosen so that the output signal will follow the real envelope R(t) of the input signal. Consequently, the cutoff frequency of v in (t) C R v out (t) (a) A Diode Envelope Detector Input signal, v in (t) Output signal, v out (t) (b) Waveforms Associated with the Diode Envelope Detector Figure 4–13 Envelope detector.
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274<br />
Bandpass Signaling Principles and Circuits Chap. 4<br />
4–13 DETECTOR CIRCUITS<br />
As indicated in Fig. 4–1, the receiver contains carrier circuits that convert the input bandpass<br />
waveform into an output baseband waveform. These carrier circuits are called detector circuits.<br />
The sections that follow will show how detector circuits can be designed to produce<br />
R(t), u(t), x(t), or y(t) at their output for the corresponding bandpass signal that is fed into the<br />
detector input.<br />
Envelope Detector<br />
An ideal envelope detector is a circuit that produces a waveform at its output that is proportional<br />
to the real envelope R(t) of its input. From Eq. (4–1b), the bandpass input may be<br />
represented by R(t) cos[v c t + u(t)], where R(t) Ú 0; then the output of the ideal envelope<br />
detector is<br />
v out (t) = KR(t)<br />
(4–74)<br />
where K is the proportionality constant.<br />
A simple diode detector circuit that approximates an ideal envelope detector is shown in<br />
Fig. 4–13a. The diode current occurs in pulses that are proportional to the positive part of the<br />
input waveform. The current pulses charge the capacitor to produce the output voltage waveform,<br />
as illustrated in Fig. 4–13b. The RC time constant is chosen so that the output signal<br />
will follow the real envelope R(t) of the input signal. Consequently, the cutoff frequency of<br />
v in (t)<br />
C R v out (t)<br />
(a) A Diode Envelope Detector<br />
Input signal, v in (t)<br />
Output signal, v out (t)<br />
(b) Waveforms Associated with the Diode Envelope Detector<br />
Figure 4–13<br />
Envelope detector.