UCHT与FFT的关系

33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings. Pub Date : 2003-05-16 DOI:10.1109/ISMVL.2003.1201400

S. Xie, S. Rahardja, Z. Gu

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引用次数: 3

摘要

本文给出了变换矩阵包含元素/spl plusmn/1和/spl plusmn/i的统一复Hadamard变换(UCHT)、变换矩阵包含元素/spl plusmn/1的沃尔什-Hadamard变换(WHT)和快速傅里叶变换(FFT)之间的关系。它们都是通过一个关键矩阵相互关联的，FFT可以通过使用UCHT WHT和一些中间因子矩阵来计算。

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Relationship between UCHT and FFT

This paper presents relationships among unified complex Hadamard transform (UCHT) whose transformation matrix contains elements /spl plusmn/1 and /spl plusmn/i, Walsh-Hadamard transform (WHT) whose transformation matrix contains elements /spl plusmn/1, and Fast Fourier Transform (FFT). They are all related to each other by a key matrix, and FFT can be computed by using UCHT WHT and some twiddle factor matrices.

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33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.

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