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470 Random Processes and Spectral Analysis Chap. 6 r(t)=s(t)+n(t) A Integrator Reset r 0 (t) B Sample and hold Output C Integrator resets to zero initial condition at clocking time. D Clocking signal (bit sync) Waveform at A (input signal and noise) Waveform at B Waveform at C (output ) Waveform at D (clock) Figure 6–17 T Integrate-and-dump realization of a matched filter. r(t)=s(t)+n(t) Integrator t 0 [r(t)s(t)]dt t 0 -T r 0 (t 0 ) s(t) (Known signal) Reference input Figure 6–18 Matched-filter realization by correlation processing.
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470<br />
Random Processes and Spectral Analysis Chap. 6<br />
r(t)=s(t)+n(t)<br />
A<br />
Integrator<br />
Reset<br />
r 0 (t)<br />
B<br />
Sample<br />
and hold<br />
Output<br />
C<br />
Integrator resets to<br />
zero initial condition at<br />
clocking time.<br />
D<br />
Clocking signal<br />
(bit sync)<br />
Waveform at A<br />
(input signal<br />
and noise)<br />
Waveform at B<br />
Waveform at C<br />
(output )<br />
Waveform at D<br />
(clock)<br />
Figure 6–17<br />
T<br />
Integrate-and-dump realization of a matched filter.<br />
r(t)=s(t)+n(t)<br />
Integrator<br />
t 0<br />
[r(t)s(t)]dt<br />
t 0 -T<br />
r 0 (t 0 )<br />
s(t)<br />
(Known signal)<br />
Reference input<br />
Figure 6–18<br />
Matched-filter realization by correlation processing.