The method of calculating the error probability per bit in the communication channels with block freeze-ups for the receiver with linear addition of soft solutions of the incoherent demodulator

Expressions for the upper additive limit of error probability per bit in «incoherent» communication channels with coding and pseudo-random motion are defined at the use of metrics with linear addition of soft decisions of the demodulator in the conditions of influence of the block freezing causing grouping of errors. Expressions are specified for freeze-ups described by Rice, Nakagami-m and Nakagami-q distributions. Using the expressions obtained from the binary extended BCH codes, it is shown that with a given limit on the delay in the transfer of information codes length of 64, 128 provide a permissible error probability of 10-5 with respect to the «signal/noise» at the receiver input 16-18 dB and an energy gain of 3-4 dB compared to the code with eight-fold repetition.