Intro -- 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 -- 2.4 Estimation of the potential noise immunity in the case of multiple noises -- 2.5 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 -- 3.3 Examples of the strip-transformation of images -- 3.4 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 -- A.3 Conference-matrices -- A.4 Optimal matrices of the odd order (M-matrices).

A.5 Algorithm for determining optimal matrices -- A.6 Characteristics of optimal matrices -- Bibliography -- Index.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.