21-01-2021 дата публикации
Номер: US20210021844A1
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Systems and methods for performing polar decoding using a transformation of the coded bits prior to polar decoding and an inverse transformation of the resulting data bits after polar decoding are disclosed. In some embodiments, a method of operation of a receiving node to perform polar decoding comprises transforming a received code bit vector yin accordance with a transformation Tto thereby provide a transformed code bit vector Y′=YT, performing polar decoding of the transformed code bit vector y′to thereby provide a transformed data bit vector v′, and inversely transforming the transformed data bit vector v′in accordance with an inverse transformation Tto thereby provide an estimated data bit vector v=v′T. In some embodiments, the transformation Tre-orders coded bits in the coded bit vector ysuch that some future frozen bit(s) are swapped in front of some information bit(s) prior to performing polar decoding. 1. A method of operation of a receiving node to perform polar decoding , comprising:{'sub': N', 'N', 'N', 'N', 'N, 'transforming a received code bit vector yin accordance with a transformation Tto thereby provide a transformed code bit vector y′=yT;'}{'sub': N', 'N, 'performing polar decoding of the transformed code bit vector y′ to thereby provide a transformed data bit vector v′; and'}{'sub': N', 'N', 'N', 'N', 'N, 'sup': −1', '−1, 'inversely transforming the transformed data bit vector v′ in accordance with an inverse transformation Tto thereby provide an estimated data bit vector v=v′T.'}3. The method of wherein the transformation Tis a bit-reversal matrix Rthat performs permutation in such a way that eR=e claim 2 , for all i∈{0 claim 2 , 1 claim 2 , 2 claim 2 , . . . claim 2 , N−1} claim 2 , where edenotes a vector with all zeros except at the ith position where the element is one claim 2 , and where r(i)∈{0 claim 2 , 1 claim 2 , 2 claim 2 , . . . claim 2 , N−1} denotes a number whose binary representation is in a reversed bit order as the binary ...
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