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  3. Introduction to Orthogonal Transforms
  • Cited by 62
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2012
      March 2012
      ISBN:
      9781139015158
      9780521516884
      DOI:
      https://doi.org/10.1017/CBO9781139015158
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.29kg, 590 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Communications and Signal Processing, Engineering, Engineering Mathematics and Programming
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    Subjects:
    Communications and Signal Processing, Engineering, Engineering Mathematics and Programming
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    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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