Discrete Approximations and Transforms: Introductory Analysis and Applications - Softcover

Gadzhiev, Yuri

Softcover

ISBN 10: 3659364193 ISBN 13: 9783659364198

Publisher: LAP LAMBERT Academic Publishing, 2013

Synopsis

In a treatise with a single point of view are considered basic concepts of both discrete approximations and transforms, - general, such as polynomial, difference, Fourier, Chebyshev, and more special, such as orthogonal and biorthogonal discrete cosine transforms (DCT), Haar’s, Walsh’s and Karhunen Loeve. There besides are considered certain basic approaches to obtaining the transforms with needed properties – algebraic, geometrical and probabilistic. Also a general condition for equivalence of discrete approximations had been established and some relationships describing an effect of quantization on errors of a discrete approximation or transform obtained and analyzed in application to orthogonal transforms. In addition there considered some basic matrix algorithms and properties of biorthogonal matrices.

About this title

About the Author

Yuri A. Gadzhiev received an engineer degree in electronics from Dagestan State Technical University (DSTU) in 1985, and Kandidate of Technical Sciences degree in computer science from Taganrog Radio Technical University in 2001, since 1986 he worked first as Senior Researcher and then as Senior Teacher at CS Dept. of DSTU.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2013
• Language: English
• ISBN 10: 3659364193
• ISBN 13: 9783659364198
• Binding: Paperback
• Number of pages: 108