Strip-Method for Image and Signal Transformation

Buch | Hardcover
IX, 166 Seiten
2011
De Gruyter (Verlag)
978-3-11-025192-0 (ISBN)
144,95 inkl. MwSt
The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels.
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.

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

Preface
Introduction
CHAPTER 1. THE STRIP-METHOD OF TRANSFORMATION OF SIGNALS
1.1. The strip-method linear encoding, and problems solved by it
1.2. Conservation of a "smoothness" of the transformed signal
1.3. Alignment of a variance of a non-stationary signal
1.4. Alignment comprehension a non-stationary signal
1.5. Spectrum narrowing of an encoding signal
CHAPTER 2. OPTIMAL CHEBYSHEV ENCODING AND THE FILTRATION
2.1. Preliminary remarks
2.2. Problem statement
2.3. An estimation of a potential noise-immune in case of single pulse noise
2.4. An estimation of a potential noise-immune in case of multiple pulse noise
2.5. Synthesis optimal Chebyshev filter
2.6. Quasi-optimal encoding
2.7. Redundancy introduction in a strip-method linear encoding
CHAPTER 3. THE STRIP-METHOD OF TRANSFORMATION OF IMAGES
3.1. A two-dimensional strip-transformation
3.2. A choice of optimal matrices of transformation
3.3. Examples of strip-transformation of images
3.4. Definition of critical multiplicity of pulse noise
3.5. Root images of bilateral strip-transformation
CHAPTER 4. HARDWARE REALIZATION OF THE STRIP-METHOD
4.1. Realization of a strip-method with use of magnetic recording-reproduction
4.2. Realization of a strip-method with a cyclic matrix
4.3. The device of alignment of a signal variance
4.4. Devices for introduction of information redundancy
Conclusion
Appendix. Hadamard matrices and matrices close to them
Bibliography

"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

Erscheint lt. Verlag 17.11.2011
Reihe/Serie De Gruyter Studies in Mathematical Physics ; 1
Zusatzinfo 70 b/w ill., 6 b/w tbl.
Verlagsort Berlin/Boston
Sprache englisch
Maße 170 x 240 mm
Gewicht 436 g
Themenwelt Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Bildübertragung • Geräuschreduktion • Image Transmission • noise reduction • signal transmission • Signal Transmission; Noise Reduction; Image Transmission; Strip Method • Signalübertragung • Strip Method
ISBN-10 3-11-025192-2 / 3110251922
ISBN-13 978-3-11-025192-0 / 9783110251920
Zustand Neuware
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