Format:
1 Online-Ressource (X, 166 Seiten)
,
Illustrationen, Diagramme
ISBN:
9783110252569
,
1283400138
,
9783110251920
,
9781283400138
Series Statement:
De Gruyter Studies in Mathematical Physics 1
Content:
Thiswork deals with the matrix methods of continuous signal and image processing according to which strip-transformation is used. The authors suggest ways to solve a problem of evaluating potential noise immunity and synthesis of an optimal filter for the case of pulse noises, of applying the two-dimensional strip-transformation for storage and noise immune transmission of images. The strip-transformation of images is illustrated by examples and classes of images invariant relative to symmetrical orthogonal transformations
Note:
Includes bibliographical references and index
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Foreword; Introduction; 1 Strip-method of signal transformation; 1.1 Strip-method of linear pre-distortions and problems it solves; 1.2 Assurance of the transformed signal continuity; 1.3 Equalization of non-stationary signal variance; 1.4 Equalization of the "informative ability" of a non-stationary signal; 1.5 Narrowing of the pre-distorted signal frequency spectrum; 2 Optimal Chebyshev pre-distortion and filtration; 2.1 Preliminaries; 2.2 Problem statement; 2.3 Estimation of the potential noise immunity in case of single noise
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2.4 Estimation of the potential noise immunity in the case of multiple noises2.5 Synthesis of the optimal Chebyshev filter; 2.6 Quasioptimal pre-distortions; 2.7 Introduction of redundancy in the strip-method of linear pre-distortions; 2.7.1 Decreasing the noise power in a reconstructed signal; 2.7.2 Detection, localization, identification and correction of pulse noise; 2.7.3 Possibilities for applying the strip-method in steganography; 3 Strip-method of image transformation; 3.1 Two-dimensional strip-transformation; 3.2 Choice of optimal transformation matrices
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3.3 Examples of the strip-transformation of images3.4 Determination of critical multiplicity of noise; 3.5 Root images of the two-sided strip-transformation; 4 Hardware implementation of the strip-method; 4.1 Implementation of the strip-method with usage of magnetic recording - reproducing instruments; 4.2 Implementation of the strip-method with a cyclic matrix; 4.3 The device for equalization of the signal variance; 4.4 Devices for introducing information redundancy; Conclusion; Appendix Hadamard matrices and the matrices close to them; A.1 Hadamard matrices; A.2 Shortened Hadamard matrices
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A.3 Conference-matricesA.4 Optimal matrices of the odd order (M-matrices); A.5 Algorithm for determining optimal matrices; A.6 Characteristics of optimal matrices; Bibliography; Index
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In English
Additional Edition:
ISBN 3110251922
Additional Edition:
ISBN 9783110251920
Additional Edition:
Erscheint auch als Druck-Ausgabe Mironovskij, Leonid A. Strip-method for image and signal transformation Berlin : de Gruyter, 2012 ISBN 3112188268
Additional Edition:
ISBN 9783112188262
Additional Edition:
ISBN 3110251922
Additional Edition:
ISBN 9783110251920
Language:
English
Subjects:
Mathematics
Keywords:
Signalverarbeitung
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Bildverarbeitung
;
Finite-Streifen-Methode
;
Matrixverfahren
;
Optimalfilter
;
Vorverzerrung
;
Signalverarbeitung
;
Bildverarbeitung
;
Finite-Streifen-Methode
;
Matrixverfahren
;
Optimalfilter
;
Vorverzerrung
DOI:
10.1515/9783110252569
URL:
Volltext
(lizenzpflichtig)
Author information:
Mironovskij, Leonid A.
Author information:
Slaev, Valerij A.
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