A Novel Complete Set of Walsh and Inverse Walsh Transforms for Signal Processing

机译：用于信号处理的新颖的沃尔什和沃尔什逆变换的完整集合

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In this paper, we design and implement a novel complete set of Walsh and inverse Walsh transforms for signal processing. The system consists of Walsh Transforms (WT), Digital Signal Processing (DSP) block, inverse Walsh transform (IWT) and a dividing block. The Walsh and inverse Walsh transforms are designed to produce correct results for any input data combinations. A DSP block is designed to perform addition, subtraction and dyadic convolution of Walsh coefficients of two signals. It is found that the proposed Walsh transform structure is superior to many of the reported results when it is implemented on FPGAs.

机译：在本文中，我们设计并实现了一套新颖的Walsh变换和Walsh逆变换，用于信号处理。该系统由沃尔什变换（WT），数字信号处理（DSP）块，沃尔什逆变换（IWT）和除法块组成。 Walsh和Walsh逆变换旨在为任何输入数据组合生成正确的结果。 DSP模块设计用于执行两个信号的沃尔什系数的加，减和二进卷积。发现当在FPGA上实现时，提出的Walsh变换结构优于许多报道的结果。

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《2011 International Conference on Communication Systems and Network Technologies》|2011年|p.504-509|共6页
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Zulfikar; Abbasi Shuja A.; Alamoud A.R.M.;
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中图分类通信;
关键词
Digital signal processing; Rademacher functions; Walsh coefficients; Walsh functions; Walsh series; Walsh transform; dyadic convolution; fast Hadamard transform; inverse Walsh transform;

机译：数字信号处理; Rademacher函数; Walsh系数; Walsh函数; Walsh级数; Walsh变换;二进卷积;快速Hadamard变换; Walsh逆变换;

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1. FPGA Based Walsh and Inverse Walsh Transforms for Signal Processing [J] . Zulfikar, Shuja A. Abbasi, A. R. M. Alamoud Electronics and Electrical Engineering . 2012,第8期

机译：基于FPGA的Walsh和Walsh逆变换用于信号处理
2. FPGA Based Walsh and Inverse Walsh Transforms for Signal Processing [J] . Zulfikar, Shuja A. Abbasi, A. R. M. Alamoud Electronics and Electrical Engineering . 2012,第8期

机译：基于FPGA的沃尔什和逆沃尔什转换信号处理
3. Design of Real Time Walsh Transform for Processing of Multiple Digital Signals [J] . International Journal of Electrical and Computer Engineering . 2013,第2期

机译：用于处理多个数字信号的实时沃尔什变换设计
4. A Novel Complete Set of Walsh and Inverse Walsh Transforms for Signal Processing [C] . Zulfikar, Abbasi Shuja A., Alamoud A.R.M. International Conference on Communication Systems and Network Technologies . 2011

机译：一种新型的沃尔什和逆沃尔什的信号处理变换
5. Walsh Fourier Transform on Locally Stationary Time Series and Its Applications [D] . Huang, Zhelin 2018

机译：局部平稳时间序列的沃尔什傅里叶变换及其应用
6. Detection of Focal and Non-Focal Electroencephalogram Signals Using Fast Walsh-Hadamard Transform and Artificial Neural Network [O] . Prasanna J., M. S. P. Subathra, Mazin Abed Mohammed, 2020

机译：使用快速Walsh-Hadamard变换和人工神经网络检测焦距和非焦型脑电图信号
7. The Simple Genetic Algorithm and the Walsh Transform: Part II, The Inverse [O] . Michael D. Vose, Alden H. Wright 1998

机译：简单遗传算法和沃尔什变换：第二部分，反演

A Novel Complete Set of Walsh and Inverse Walsh Transforms for Signal Processing

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