Shannon Channel Coding Fundamentals

For any memoryless channel -- such as the additive wideband Gaussian noise (AWGN) channel -- there exists a block code which encodes K bits into N symbols

(Rate R=K/N bits/symbol) for which error probability is bounded by

C = channel capacity

Encoder

K bits

N symbols

(Includes Modem)

C and E(R) depend only on the channel parameters

PE < exp[-NE(R)] where E(R) > 0 for all R < C

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