广义二阶Reed-Muller帧的啁啾重构算法

2021 IEEE Information Theory Workshop (ITW) Pub Date : 2021-10-17 DOI:10.1109/ITW48936.2021.9611492

Renaud-Alexandre Pitaval, Yi Qin

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引用次数: 0

摘要

研究广义二阶Reed-Muller帧的低复杂度解码。二阶Reed-Muller帧是高度非相干、高度结构化的$2^{m_{-}}$维复向量集合，具有第四单位根字母表，通过设计低复杂度啁啾重构算法(ChirpRA)而来。本文将ChirpRA扩展到2m维相同字母的扩展帧，并将其推广到由不同字母构成的其他维Reed-Muller帧。

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Chirp Reconstruction Algorithm for Generalized Second-Order Reed-Muller Frames

We consider low-complexity decoding of generalized second-order Reed-Muller frames. Second-order Reed-Muller frames are highly non-coherent, highly-structured, sets of $2^{m_{-}}$ dimensional complex vectors with fourth root-of-unity alphabet, that come by design with a low-complexity chirp reconstruction algorithm (ChirpRA). In this paper, we extend ChirpRA to expanded frames in 2m-dimension with same alphabet, and we also generalized it to Reed-Muller frames in other dimensions constructed from different alphabets.

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2021 IEEE Information Theory Workshop (ITW)

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