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Method and system for error correction in data transmission using a low complexity system encoder
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An encoder and coding technology, which is applied in the field of error correction, and can solve the problem that the coding method of the polar code system is not applicable.
Active Publication Date: 2021-11-16
POLARAN HABERLESME TEKNOLOJILERI ANONIM SIRKETI
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[0008] However, as recognized herein, data checking and puncturing, as proposed in the cited work, distorts the structure of polar codes, rendering existing systematic encoding methods for polar codes inapplicable
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[0043] discussed below Figure 1 to Figure 9B The various embodiments used to describe the principles of the disclosure in this patent document are by way of illustration only and should not be construed in any way as limiting the scope of the disclosure. Those skilled in the art will understand that the principles of the present disclosure may be implemented in any suitably arranged communications system.
[0044] Following established conventions in coding theory, data words, parity words and code words in the system are denoted in this paper as the finite field F q A vector on , where q denotes the number of elements in the field. Field elements (scalars) are represented by ordinary lowercase letters, such as a ∈ F q . Vectors over domains are denoted in lowercase boldface, e.g. where N represents the length of the vector. symbol a i Indicates the i-th coordinate of vector a. Use the convention of indexing the elements of a vector of length N with the integers 0, 1,...
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Abstract
A systematic polar encoder (300, 500) with data check includes a data mapper (310, 510, 700) and a non-systematic polar encoder (320, 400, 520), the data mapper receiving data for Input data (301, 501) of the transmitted information, and generate modified data (303, 503), the non-systematic polar encoder performs a transformation matrix (600) to encode the modified data to generate a codeword x(302, 502) such that for some subsequence of coordinates S, x S =d. For non-systematic coding, transform input u (406, 601) includes parts for words unrelated to data (403), parts for de-punctured words (405), parts for modified data (303, 401, 503) part, and for the part carrying the checkword (404) derived from the modified data. The transform output (407, 602) includes a portion for punctured words, a portion for carrying data, and a portion for use as redundant symbols, codeword x by x=z Q Related to the transform output, where Q is the complement of the punctured portion.
Description
technical field [0001] The present application relates generally to error correction, and more particularly to providing a low complexity system encoder for error correction in transmitted data using polar codes. Background technique [0002] In modern digital data transmission (wireless telephony, wireless data transmission, compact disc transmission to player, music player to receive music data, etc.), for efficiency, the source encoder can compress the data to be transmitted, and then the channel encoder can receive Compresses the data and adds redundancy to it to protect the data from noise in the transmission channel. A receiver (sometimes called a "sink") at the other end of the channel receives the encoded data and uses a channel decoder to perform the inverse of the channel encoding, followed by a source decoder that performs the inverse of the source encoding. The decoded information is played by the sink (eg, as audio by a compact disc player or music player or a ...
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