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Generalized Constituent Nodes for Simplified Successive-Cancellation Decoding of Multi-Kernel Polar Codes

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The decoding latency of the successive-cancellation decoder for polar codes is of great importance in its practical applications, and it can be reduced by implementing multi-bit decision decoders in the… Click to show full abstract

The decoding latency of the successive-cancellation decoder for polar codes is of great importance in its practical applications, and it can be reduced by implementing multi-bit decision decoders in the constituent nodes of the decoding tree. In this letter, we develop a matrix analysis method to analyze the corresponding parity submatrix of the decoding tree’s internal node. Two generalized constituent nodes are presented for the fast simplified successive-cancellation (fast-SSC) decoding of linear kernels-mixed multi-kernel polar codes. Results show that the proposed method achieves latency reduction and preserves the error-correction performance.

Keywords: simplified successive; successive cancellation; constituent nodes; generalized constituent; polar codes

Journal Title: IEEE Communications Letters
Year Published: 2023

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