4.10 Performance analysis

In this section we will evaluate the probability of error of both correlator type receivers and matched filter receivers. Wewill only present the analysis for transmission of binary symbols. In the process we will demonstrate that both of thesereceivers have identical bit-error probabilities.

Antipodal signals

$r_t=s_m(t)+N_t$ for $0\le t\le T$ with $m=1$ and $m=2$ and $s_1(t)=-s_2(t)$

An analysis of the performance of correlation receivers with antipodal binary signals can be found here . A similar analysis for matched filter receivers can be found here .

Orthogonal signals

$r_t=s_m(t)+N_t$ for $0\le t\le T$ with $m=1$ and $m=2$ and $s_1\cdot s_2=0$

An analysis of the performance of correlation receivers with orthogonal binary signals can be found here . A similar analysis for matched filter receivers can be found here .

It can be shown in general that correlation and matched filter receivers perform with the same symbol error probability if thedetection criteria is the same for both receivers.