| Description |
1 online resource |
| Series |
De Gruyter studies in mathematical physics ; 1 |
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De Gruyter studies in mathematical physics ; 1.
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| Contents |
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 |
| Summary |
This work 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Image processing -- Mathematics
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Signal processing -- Mathematics
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Finite strip method.
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TECHNOLOGY & ENGINEERING -- Imaging Systems.
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Finite strip method
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Image processing -- Mathematics
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Signal processing -- Mathematics
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| Form |
Electronic book
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| Author |
Slaev, Valery A
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| ISBN |
9783110252569 |
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3110252562 |
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3110251922 |
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9783110251920 |
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1283400138 |
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9781283400138 |
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