A Unified Approach To Fast computation Of Discrete Sinusoidal Transforms II: DFT And DWT Transforms

Valdimir BRITANAK

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A Unified Approach To Fast computation Of Discrete Sinusoidal Transforms II: DFT And DWT Transforms

机译：快速计算离散正弦变换的统一方法II：DFT和DWT变换

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Discrete Fourier transform (DFT), discrete Hartley transform (DHT), and various types of discrete W transform (DWT) are also members of discrete si- nusoidal transform family. A unified approach to the fast computation of the DFT and DWT transforms for real data sequences is presented. It takes advantage of the regular universal DCT-II/DST-II and DCT-II/DST-III computational structure in existing real sparse matrix factorizations leading to simple, numerically stable, in place and efficient algorithms for any N=2~m, m>0.

机译：离散傅里叶变换（DFT），离散Hartley变换（DHT）和各种类型的离散W变换（DWT）也是离散正弦变换族的成员。提出了一种用于实际数据序列的快速计算DFT和DWT变换的统一方法。在现有的实际稀疏矩阵分解中，它利用常规的通用DCT-II / DST-II和DCT-II / DST-III计算结构，可为任何N = 2〜m带来简单，数值稳定，就地有效的算法， m> 0。

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《Computers and Artificial Intelligence》 |1999年第1期|p.19-36|共18页
作者
Valdimir BRITANAK;
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正文语种 eng
中图分类计算技术、计算机技术;
关键词
Orthogonal Transforms; Discrete Fourier Transform; Discrete Hartley Transform;

机译：正交变换;离散傅立叶变换离散哈特利变换;

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专利

1. Fast unified computation of the multidimensional discrete sinusoidal transforms [J] . Cheng LZ., Wang Z., Zhang ZH. Applied mathematics and computation . 2002,第2a3期

机译：多维离散正弦变换的快速统一计算
2. Optimal unified architectures for the real-time computation of time-recursive discrete sinusoidal transforms [J] . Liu K.J.R., Chiu C.T. IEEE Transactions on Circuits and Systems for Video Technology . 1994,第2期

机译：用于时间递归离散正弦变换实时计算的最佳统一架构
3. Optimal unified architectures for the real-time computation oftime-recursive discrete sinusoidal transforms [J] . Liu K.J.R., Chiu C.T., Kolagotla R.K., IEEE Transactions on Circuits and Systems for Video Technology . 1994,第2期

机译：实时递归离散正弦变换实时计算的最佳统一架构
4. Comparing Discrete Wavelet Transform (DWT) with Discrete Fourier Transform (DFT) implemented for digital relays [C] . Smith Craig M., Nair Nirmal-Kumar C. Australasian Universities Power Engineering Conference;AUPEC . 2009

机译：比较离散小波变换（DWT）与实现数字继电器的离散傅立叶变换（DFT）
5. Fast and Scalable Architectures and Algorithms for the Computation of the Forward and Inverse Discrete Periodic Radon Transform with Applications to 2D Convolutions and Cross-Correlations. [D] . Carranza, Cesar. 2016

机译：快速和可扩展的体系结构和算法，用于计算正向和反向离散周期Radon变换，并应用于2D卷积和互相关。
6. Frequency Band Analysis of Electrocardiogram (ECG) Signals for HumanEmotional State Classification Using Discrete Wavelet Transform (DWT) [O] . Murugappan Murugappan, Subbulakshmi Murugappan, Bong Siao Zheng 2013

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7. IMAGE WATERMARKING WITHHYBRID APPROACH USING DISCRETE WAVELET TRANSFORM(DWT)–DISCRETE COSINE TRANSFORM (DCT) [O] . 2015

机译：使用离散小波变换（DWT） - DISCRETE余弦变换（DCT）的图像水印方法
8. Comparison of Arithmetic Requirements for the PFA (Prime Factor Algorithm), WFTA (Winograd Fourier Transform Algorithm), SWIFT, MFFT (Mixed Radix Fast Fourier Transform), FFT (Fast Fourier Transform) and DFT (Discrete Fourier Transform) Algorithms. [R] . Hicks, R. C. 1982

机译：pFa（素因子算法），WFTa（Winograd傅立叶变换算法），sWIFT，mFFT（混合基线快速傅里叶变换），FFT（快速傅立叶变换）和DFT（离散傅立叶变换）算法的算术要求的比较。

A Unified Approach To Fast computation Of Discrete Sinusoidal Transforms II: DFT And DWT Transforms

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