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Get A Simple Tight Bound On Error Probability Of Block Codes With Form

The tangential sphere bound, and Viterbi and Viterbi 5 applied a similar bound to analyze the performance of turbo codes. Both bounds are based on Poltyrev results 15 . These new tight bounds essentially use a basic bounding technique rst developed by Gallager in 1963 1 , namely, given a transmitted codeword, Pr word error Pr word error, y + Pr y (1) where y is the observation vector (transmitted codeword plus noise) and is a region (volume) in the observation sp.

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