Error Control Coding for Performance Improvement

Error Control Coding for Performance Improvement

Meeting Challenges in Cognitive Radio

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Claude Shannon, the father of Information Theory, in 1948 showed that every noisy channel has associated with it an information capacity C bits/second, below which it is possible to encode messages (by representing them as long binary strings) such that they can be received and decoded with arbitrarily low probability of error. His proof of the capacity theorem showed that for transmission rates below C bits/second the error probability averaged over all randomly selected codes can be made as small as desired. While this implies the existence of good codes, it left open the problem of designin...