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Performance Analysis

Module by: Behnaam Aazhang

Summary: A performance analysis of correlator-type and matched filter receivers on binary symbol transmission using both orthogonal and antipodal signal sets. Both types of receivers perform identically with the same detection criteria.

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

Antipodal Signals

r t = s m t+ N t r t s m t N t for 0≤t≤T 0 t T with m=1 m 1 and m=2 m 2 and s 1 t=- s 2 t 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 r t s m t N t for 0≤t≤T 0 t T with m=1 m 1 and m=2 m 2 and < s 1 , s 2 >=0 s 1 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 the detection criteria is the same for both receivers.

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