TH2.R8.2

Successive Cancellation Sampling Decoder: An Attempt to Analyze List Decoding Theoretically

Hsin-Po Wang, Venkatesan Guruswami, UC Berkeley, United States

Session:
Polar Codes 2

Track:
2: Modern Coding Theory

Location:
Omega

Presentation Time:
Thu, 11 Jul, 11:50 - 12:10

Session Chair:
Henry Pfister,
Abstract
Successive cancellation list (SCL) decoders of polar codes excel in practical performance but pose challenges for theoretical analysis. Existing works either limit their scope to erasure channels or address general channels without taking advantage of soft information. In this paper, we propose the "successive cancellation sampling" (SCS) decoder. SCS hires iid "agents" to sample codewords using posterior probabilities. This makes it fully parallel and amenable for some theoretical analysis. As an example, when comparing SCS with a agents to any list decoder with list size ell, we can prove that the error probability of the former is at most ell/ae more than that of the latter. In this paper, we also describe how to adjust the "temperature" of agents. Warmer agents are less likely to sample the same codewords and hence can further reduce error probability.
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