Polar Coding for Parallel Channels

Computer Science – Information Theory

Scientific paper

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Scientific paper

A capacity-achieving polar coding scheme is introduced for reliable communications over a set of parallel channels. The parallel channels are assumed to be arbitrarily-permuted memoryless binary-input output-symmetric (MBIOS) channels. A coding scheme is first provided for the particular case where the parallel channels form a set of stochastically degraded channels. Next, the case of polar coding for the more general case where the parallel channels are not necessarily degraded is also considered, and two modifications are provided for this case.

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