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Titlebook: Hadamard Matrix Analysis and Synthesis; With Applications to R. K. Rao Yarlagadda,John E. Hershey Book 1997 Springer Science+Business Media

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发表于 2025-3-21 16:11:15 | 显示全部楼层 |阅读模式
书目名称Hadamard Matrix Analysis and Synthesis
副标题With Applications to
编辑R. K. Rao Yarlagadda,John E. Hershey
视频video
丛书名称The Springer International Series in Engineering and Computer Science
图书封面Titlebook: Hadamard Matrix Analysis and Synthesis; With Applications to R. K. Rao Yarlagadda,John E. Hershey Book 1997 Springer Science+Business Media
描述.Hadamard Matrix Analysis and Synthesis: With Applicationsto. .Communications and Signal/Image Processing. presents thebasic concepts of Sylvester‘s construction of Hadamard matrices, theeigenvalue-eigenvector decompositions, along with itsrelationship to Fourier transforms. Relevant computational structuresare included for those interested in implementing the Hadamardtransform. .The 2-dimensional Hadamard transform is discussed in terms of a 1-dimensional transform. The applications presented touch on statistics,error correction coding theory, communications signaling, Booleanfunction analysis and synthesis, image processing, sequence theory(maximal length binary sequences, composite sequences, andThue-Morse sequences) and signal representation. An interestingapplication of the Hadamard transform to images is the NaturalnessPreserving Transform (NPT), which is presented. The NPT provides a wayto encode an image that can be reconstructed when it is transmittedthrough a noisy or an unfriendly channel. The potential applicationsof the Hadamard transform are wide and the book samples many of theimportant concepts among a vast field of applications of thetransform. ..Hadamard Matrix An
出版日期Book 1997
关键词Potential; Signal; algebra; calculus; coding; coding theory; communication; fast Fourier transform (FFT); im
版次1
doihttps://doi.org/10.1007/978-1-4615-6313-6
isbn_softcover978-1-4613-7898-3
isbn_ebook978-1-4615-6313-6Series ISSN 0893-3405
issn_series 0893-3405
copyrightSpringer Science+Business Media New York 1997
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发表于 2025-3-21 20:40:24 | 显示全部楼层
Hadamard Matrix Analysis and Synthesis978-1-4615-6313-6Series ISSN 0893-3405
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https://doi.org/10.1057/9780230522916his short chapter we define the essential elements of this algebra and state, without proof, some useful theorems. There are a number of excellent references on Kronecker matrix algebra. The one we draw from is Regalia and Mitra (1989).
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发表于 2025-3-22 10:59:10 | 显示全部楼层
al column vectors. The 2-D Hadamard transform is given by . where .. and .. are 2. × 2. and 2. × 2. Hadamard matrices. Since . may not necessarily be equal to ., we will use superscripts (.) and (.) to denote the columns ... and ...in .. and .. respectively.
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Animal Welfare in Farm Animal Productionted from .. created by augmenting .. with its inverse, ie, — .. and subsequently changing the ones to zeros and the minus ones to ones. The set of 2. 2.-bit words forms a code which has minimum distance 2.. They remark that this forms a first order Reed-Muller code..
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Kronecker Matrix Algebra,his short chapter we define the essential elements of this algebra and state, without proof, some useful theorems. There are a number of excellent references on Kronecker matrix algebra. The one we draw from is Regalia and Mitra (1989).
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Use of the 1-D Hadamard Transform in the Computation of a 2-D Hadamard Transform,al column vectors. The 2-D Hadamard transform is given by . where .. and .. are 2. × 2. and 2. × 2. Hadamard matrices. Since . may not necessarily be equal to ., we will use superscripts (.) and (.) to denote the columns ... and ...in .. and .. respectively.
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