On Decoder Ties for the Binary Symmetric Channel with Arbitrarily Distributed Input

03/14/2023
by   Ling-Hua Chang, et al.
0

The error probability of block codes sent under a non-uniform input distribution over the memoryless binary symmetric channel (BSC) and decoded via the maximum a posteriori (MAP) decoding rule is investigated. It is proved that the ratio of the probability of MAP decoder ties to the probability of error when no MAP decoding ties occur grows at most linearly in blocklength, thus showing that decoder ties do not affect the code's error exponent. This result generalizes a similar recent result shown for the case of block codes transmitted over the BSC under a uniform input distribution.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset