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Matched Filter and Optimum Filter

When is the matched filter the optimum filter?
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Answers:
a) When the signal is band-limited.
b) When the channel noise is white.
c) When the channel noise is correlated.
d) When the signal is of finite duration.

The probability of bit being in error is 0.001. The message consists of 10 bits. The probability that the entire message is in error is
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a) 0.1
b) 0.01
c) 0.001
d) 0.0001
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Solution Preview

When is the matched filter the optimum filter?
================================================
Answers:
a) When the signal is band-limited.
b) When the channel noise is white.
c) When the channel noise is correlated.
d) ...

Solution Summary

The solution explains the probability of a message being in error. A step by step probability of error is also given.

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