University of California

Kuangda Tian

Alexander Vardy

Arman Fazeli Chaghooshi

Disclosed are devices, systems and methods for precoding and decoding polar codes using local feedback are described. One example method for improving an error correction capability of a decoder includes receiving a noisy codeword vector of length n, the codeword having been generated based on a concatenation of a convolutional encoding operation and a polar encoding operation and provided to a communication channel prior to reception by the decoder, performing a successive-cancellation decoding operation on the noisy codeword vector to generate a plurality of polar decoded symbols (n), generating a plurality of information symbols (k) by performing a convolutional decoding operation on the plurality of polar decoded symbols, wherein k/n is a rate of the concatenation of the convolutional encoding operation and the polar encoding operation, and performing a bidirectional communication between the successive-cancellation decoding operation and the convolutional decoding operation.

Pre-coding and decoding polar codes using local feedback

Disclosed are devices, systems and methods for polar coding and decoding for correcting deletion and insertion errors caused by a communication channel. One exemplary method for error correction includes receiving a portion of a block of polar-coded symbols that includes d&#x2265;2 insertion or deletion symbol errors, the block comprising N symbols, the received portion of the block comprising M symbols; estimating, based on one or more recursive calculations in a successive cancellation decoder (SCD), a location or a value corresponding to each of the d errors; and decoding, based on estimated locations or values, the portion of the block of polar-coded symbols to generate an estimate of information bits that correspond to the block of polar-coded symbols, wherein the SCD comprises at least log(N)+1 layers, each comprising up to dN processing nodes arranged as N groups, each of the N groups comprising up to dprocessing nodes.

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Kuangda Tian