
Hadamard Matrix Analysis and Synthesis
With Applications to Communications and Signal/Image Processing
Kluwer Academic Publishers
Published on 30. November 1996
Book
Hardback
X, 123 pages
978-0-7923-9826-4 (ISBN)
Description
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing
presents the basic concepts of Sylvester's construction of Hadamard matrices, the eigenvalue-eigenvector decompositions, along with its relationship to Fourier transforms. Relevant computational structures are included for those interested in implementing the Hadamard transform.
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, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.
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, Boolean function analysis and synthesis, image processing, sequence theory (maximal length binary sequences, composite sequences, and Thue-Morse sequences) and signal representation. An interesting application of the Hadamard transform to images is the Naturalness Preserving Transform (NPT), which is presented. The NPT provides a way to encode an image that can be reconstructed when it is transmitted through a noisy or an unfriendly channel. The potential applications of the Hadamard transform are wide and the book samples many of the important concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to Communications and Signal/Image Processing serves as an excellent reference source and may be used as a text for advanced courses on the topic.
More details
Series
Edition
1997 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
X, 123 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 13 mm
Weight
383 gr
ISBN-13
978-0-7923-9826-4 (9780792398264)
DOI
10.1007/978-1-4615-6313-6
Schweitzer Classification
Other editions
Additional editions

Rao K. Yarlagadda | John E. Hershey
Hadamard Matrix Analysis and Synthesis
With Applications to Communications and Signal/Image Processing
E-Book
12/2012
Springer
€149.79
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Rao K. Yarlagadda | John E. Hershey
Hadamard Matrix Analysis and Synthesis
With Applications to Communications and Signal/Image Processing
Book
10/2012
Springer
€160.49
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Content
1 Kronecker Matrix Algebra.- 2 A Hadamard Matrix.- 3 The Sylvester-Hadamard Matrix of Rank 2n.- 4 The Eigenvalues of Hn.- 5 The Eigenvectors of Hn.- 6 Other Constructions of Hn.- 7 The Hadamard Transform and Its Fast Implementation.- 8 Use of the 1 -D Hadamard Transform in the Computation of a 2-D Hadamard Transform.- 9 The Fast Fourier Transform and the Hadamard Transform.- 10 Computational Structures.- 11 Efficient Hadamard Transform Domain Computation.- 12 The Hadamard Transform in Statistics.- 13 The Hadamard Transform and Error-Correction Coding.- 14 Boolean Functions.- 15 Spectrally Preconditioned Threshold Logic.- 16 Synthesis of Bent Functions.- 17 The m-Sequence.- 18 Composite Sequences.- 19 The Thue-Morse Sequence.- 20 Signal Representation.- 21 A New Hadamard Basis and Its Implication for Signaling.- 22 A Stochastic Operator Field.- 23 A Naturalness Preserving Transform.- References.