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On the error probability for a class of binary recursive feedback strategies

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2 Author(s)

The error probability for a class of binary recursive feedback strategies is evaluated. An exact analysis is given for both a nonsequential and a sequential decision strategy. We obtain the interesting result that even for the nonsequential receiver the error probability vanishes exponentially fast at channel capacity. A similar result had been previously obtained by Horstein for the sequential receiver, but was believed to be a consequence of the sequential nature of his decision strategy. For rates below capacity our feedback strategies have two error exponents, i.e., a lower error exponentE^- (R)and an upper error exponentE^+ (R). The lower error exponentE^- (R)exhibits an anomalous behavior in thatE^- (R)increases monotonically fromE^- (0) = 0toE^- (C) = E(C)as the rateRincreases from 0 to capacity.

Published in:

Information Theory, IEEE Transactions on  (Volume:19 ,  Issue: 4 )

Date of Publication:

Jul 1973

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