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Performance Analysis

Module by: Behnaam Aazhang. E-mail the author

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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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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