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Titlebook: Algorithms for Discrete Fourier Transform and Convolution; Richard Tolimieri,Chao Lu,Myoung An Book 1997Latest edition Springer-Verlag New

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樓主
發(fā)表于 2025-3-21 18:24:53 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algorithms for Discrete Fourier Transform and Convolution
影響因子2023Richard Tolimieri,Chao Lu,Myoung An
視頻videohttp://file.papertrans.cn/154/153220/153220.mp4
發(fā)行地址Provides a broad view of the latest developments in the field of fast digital signal processing algorithms - Provides procedures that simplify or even automate the task of writing code for the newest
學(xué)科分類Signal Processing and Digital Filtering
圖書封面Titlebook: Algorithms for Discrete Fourier Transform and Convolution;  Richard Tolimieri,Chao Lu,Myoung An Book 1997Latest edition Springer-Verlag New
影響因子This book is based on several courses taught during the years 1985-1989 at the City College of the City University of New York and at Fudan Univer- sity, Shanghai, China, in the summer of 1986. It was originally our intention to present to a mixed audience of electrical engineers, mathematicians and computer scientists at the graduate level a collection of algorithms that would serve to represent the vast array of algorithms designed over the last twenty years for computing the finite Fourier transform (FFT) and finite convolution. However, it was soon apparent that the scope of the course had to be greatly expanded. For researchers interested in the design of new algorithms, a deeper understanding of the basic mathematical concepts underlying algorithm design was essential. At the same time, a large gap remained between the statement of an algorithm and the implementation of the algorithm. The main goal of this text is to describe tools that can serve both of these needs. In fact, it is our belief that certain mathematical ideas provide a natural language and culture for understanding, unifying and implementing a wide range of digital signal processing (DSP) algo- rithms. This bel
Pindex Book 1997Latest edition
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沙發(fā)
發(fā)表于 2025-3-21 21:28:24 | 只看該作者
Der Umgang mit der Stadtgesellschaftmain idea is to use the additive structure of the indexing set . to define mappings of input and output data vectors into two-dimensional arrays. Algorithms are then designed, transforming two-dimensional arrays which, when combined with these input/output mappings, compute the N-point FT. The stride permutations of chapter 2 play a major role.
板凳
發(fā)表于 2025-3-22 02:15:00 | 只看該作者
Wolf-Dietrich Bukow,Erol Yildizalgorithms will now be designed corresponding to transform sizes given as a product of three or more factors. In general, as the number of factors increases, the number of possible algorithms increases.
地板
發(fā)表于 2025-3-22 06:36:51 | 只看該作者
Wolf-Dietrich Bukow,Erol Yildiz. since they rely on the subgroups of the additive group structure of the indexing set. A second approach to the design of FT algorithms depends on the multiplicative structure of the indexing set. We applied the multiplicative structure previously, in chapter 5, in the derivation of the Good-Thomas PFA.
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Urbanit?t und gesellschaftliche IntegrationIn this chapter we will give a brief account of several important results from applied algebra necessary to develop the algorithms in this text. In particular, we will describe the main properties of the following rings:
7#
發(fā)表于 2025-3-22 19:49:30 | 只看該作者
Wolf-Dietrich Bukow,Erol YildizTensor product offers a natural language for expressing digital signal processing (DSP) algorithms in terms of matrix factorizations. In this chapter, we define the tensor product and derive several important tensor product identities.
8#
發(fā)表于 2025-3-22 21:40:12 | 只看該作者
Die gesetzliche UnfallversicherungMultiplicative prime power FT algorithms will be derived. Although multiplicative indexing will play a major role as in the preceding chapters, the multiplicative structure of the underlying indexing ring is significantly more complex, and this increased complexity will be reflected in the resulting algorithms.
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