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  1. Home
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  3. Introduction to Orthogonal Transforms
  • Cited by 55
Publisher:
Cambridge University Press
Online publication date:
October 2012
Print publication year:
2012
Online ISBN:
9781139015158
DOI:
https://doi.org/10.1017/CBO9781139015158
Subjects:
Communications and Signal Processing, Engineering, Engineering Mathematics and Programming
Information

Book description

A systematic, unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. It examines each transform method in depth, emphasizing the common mathematical principles and essential properties of each method in terms of signal decorrelation and energy compaction. The different forms of Fourier transform, as well as the Laplace, Z-, Walsh–Hadamard, Slant, Haar, Karhunen–Loève and wavelet transforms, are all covered, with discussion of how each transform method can be applied to real-world experimental problems. Numerous practical examples and end-of-chapter problems, supported by online Matlab and C code and an instructor-only solutions manual, make this an ideal resource for students and practitioners alike.

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Contents

Contents
References
Bibliography
Ahmed, N. and Rao, K.R. (1975) Orthogonal Transforms for Digital Signal Processing, Springer-Verlag
Bracewell, R.N. (2000) The Fourier Transform and Its Applications, McGraw Hill
Brigham, E.O. (1988) The Fast Fourier Transform and Its Applications, Prentice Hall
Britanak, V., Yip, P.C., and Rao, K.R. (2007) Discrete Cosine and Sine Transforms, Academic Press
Christersen, O. (2003) An Introduction to Frames and Riesz Bases, Birkhäuser
Hirsch, F. and Lacombe, G. (1999) Elements of Functional Analysis, Graduate Texts in Mathematics, Vol. 192, Springer
Jain, A.K. (1989) Fundamentals of Digital Image Processing, Prentice Hall
Jolliffe, I.T. (2002) Principal Component Analysis, 2nd ed., Springer
Loève, M. (1978) Probability Theory II, 4th ed., Graduate Texts in Mathematics, Vol. 46, Springer-Verlag
Mallat, S. (1998) A Wavelet Tour of Signal Processing, Academic Press
Oppenheim, A.V. and Willsky, A.S. (1997) Signals and Systems, 2nd ed., Prentice Hall
Oppenheim, A.V. and Schafer, R.W. (1975) Digital Signal Processing, Prentice Hall
Poularikas, A.D. and Seely, S. (1991) Signals and Systems, PWS-KENT Publishing Company
Rao, K.R. (ed.) (1985) Discrete Transforms and Their Applications, Van Nostrand Reinhold
Rao, K.R. and Yip, P.C. (2001) The Transform and Data Compression Handbook, CRC Press LLC
Rao, K.R., Kim, D.N., and Hwang, J.J. (2010) Fast Fourier Transform – Algorithms and Applications, (Signals and Communication Technology), Springer
Roman, S. (2008). Advanced Linear Algebra (Graduate Texts in Mathematics), 3rd ed., Vol. 135, Springer
Strang, G. and Nguyen, T. (1996) Wavelets and Filter Banks, Wellesley-Cambridge Press
Vetterli, M. and Kovacevic, J. (1995) Wavelets and Subband Coding, Prentice Hall

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