Strip-Method for Image and Signal Transformation

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. The monograph is intended for scientists and specialists whose activities are connected with computer signals and images processing, instrumentation and metrology. It can also be used by undergraduates, as well as by post-graduates for studying computer methods of signal and image processing.

Autorentext

Leonid A. Mironovsky, Saint Petersburg State University of Aerospace Instrumentation, Russia; Valery A. Slaev, Mendeleyev Research Institute for Metrology, Saint Petersburg, Russia.

Zusammenfassung

"From the beginning, it is worth noting that the two authors have long been active in the domain, over 30 years (see the References), whence the excellent clarity of the exposition. [...] The volume represents an excellent exposition of an interesting theory and its experimental validation. This book is an excellent read for students as well as for researchers in communication theory." Mathematical Reviews

Inhalt
PrefaceIntroductionCHAPTER 1. THE STRIP-METHOD OF TRANSFORMATION OF SIGNALS1.1. The strip-method linear encoding, and problems solved by it1.2. Conservation of a "smoothness" of the transformed signal1.3. Alignment of a variance of a non-stationary signal1.4. Alignment comprehension a non-stationary signal1.5. Spectrum narrowing of an encoding signalCHAPTER 2. OPTIMAL CHEBYSHEV ENCODING AND THE FILTRATION2.1. Preliminary remarks2.2. Problem statement2.3. An estimation of a potential noise-immune in case of single pulse noise2.4. An estimation of a potential noise-immune in case of multiple pulse noise2.5. Synthesis optimal Chebyshev filter2.6. Quasi-optimal encoding2.7. Redundancy introduction in a strip-method linear encodingCHAPTER 3. THE STRIP-METHOD OF TRANSFORMATION OF IMAGES3.1. A two-dimensional strip-transformation3.2. A choice of optimal matrices of transformation3.3. Examples of strip-transformation of images3.4. Definition of critical multiplicity of pulse noise3.5. Root images of bilateral strip-transformationCHAPTER 4. HARDWARE REALIZATION OF THE STRIP-METHOD4.1. Realization of a strip-method with use of magnetic recording-reproduction4.2. Realization of a strip-method with a cyclic matrix4.3. The device of alignment of a signal variance4.4. Devices for introduction of information redundancyConclusionAppendix. Hadamard matrices and matrices close to themBibliography