digital communication system uses a repetition
code for channel encoding/decoding. During transmission,
each bit is repeated three times (0 is transmitted as 000,
and 1 is transmitted as 111). It is assumed that the
source puts out symbols independently and with equal
probability. The decoder operates as follows: In a block
of three received bits, if the number of zeros exceeds
the number of ones, the decoder decides in favor of a 0,
and if the number of ones exceeds the number of zeros,
the decoder decides in favor of a 1, Assuming a binary
symmetric channel with crossover probability p = 0 1. , the
average probability of error is _____.
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