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A Method for Generating Ordered Sequences for Polar Codes

A communication method and coding technology, which are applied in the direction of error correction/detection using block codes, error correction/detection using linear codes, and coding, and can solve problems such as low coding complexity.

Active Publication Date: 2021-05-18
HUAWEI TECH CO LTD
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

These codes compete with state-of-the-art error-correcting codes and have lower coding complexity

Method used

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  • A Method for Generating Ordered Sequences for Polar Codes
  • A Method for Generating Ordered Sequences for Polar Codes
  • A Method for Generating Ordered Sequences for Polar Codes

Examples

Experimental program
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Embodiment Construction

[0048] figure 1 is an illustrative example showing how to get from the kernel G 2 100 Generates a diagram of the polar code generator matrix. Notice, figure 1 is the example. Other forms of kernels are also possible. Polarization comes from a "nested" approach, where generator matrices are created from kernels (or combinations of kernels).

[0049] figure 1 2x Kronecker product matrix in 102 and 3 times Kronecker product matrix 104 is an example of a polar code generator matrix. figure 1 The generator matrix method shown in can be extended to produce m-fold Kronecker product matrices

[0050] can be based on the matrix G 2 100 form the polar code from the Kronecker product matrix. For having length N=2 m The polar code of the codeword, the generator matrix is figure 2 is a diagram illustrating an example of a polar code generator matrix used to generate codewords and a schematic diagram of an exemplary polar encoder. exist figure 2 , the generator matri...

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Abstract

A number K of the N subchannels defined by the code and having an associated reliability for the input bits at the N input bit positions are selected to carry the bits to be encoded. determining a positioning area based on one or more encoding parameters, wherein the positioning area includes a plurality of subchannels, and is positioned below less than K subchannels among the N subchannels according to a partial order of the N subchannels. Selecting the less than K sub-channels among the N sub-channels located above the positioning area according to the partial order, and selecting several sub-channels from the plurality of sub-channels in the positioning area. The selected less than K subchannels and the number of subchannels selected from the plurality of subchannels in the positioning area constitute K subchannels carrying the bits to be encoded.

Description

technical field [0001] The present invention relates generally to communications and, in particular, to selecting coded subchannels. Background technique [0002] Polar codes are proposed as channel codes for future wireless communications, and have been selected for the uplink of the new fifth generation (5thGeneration, 5G) air interface (also known as 5G New Radio, NR for short) and downlink enhanced mobile broadband (eMBB for short) control channel coding. These codes are competitive with prior art error correcting codes and have lower coding complexity. See E. Arikan, "Channel Polarization: A Method for Constructing Capacity-Realizing Codes in Memoryless Channels with Symmetric Binary Inputs," IEEE Transactions on Information Theory, Vol. 55, No. 7, pp. 3051–3073, Year 2009. Successive Cancellation List (SCL) decoding is an option for decoding polar-encoded information. [0003] Based on channel polarization, Arikan designed a channel code that was proven to achieve ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M13/13
CPCH03M13/033H03M13/13H03M13/618H03M13/6362H04L1/0045H04L1/0057H04L1/0041H04L1/0068H04L1/0058
Inventor 简-克洛德·贝尔菲奥里葛屹群何高宁张然英格玛·兰德史无限童文
Owner HUAWEI TECH CO LTD
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