Abstract
The properties of the audio and video signals, and the digitization process have been discussed in the previous Chapters. When a signal is digitized, further processing of these signals may be needed for various applications, such as compression, and enhancement. The processing of multimedia signal can be done effectively when the limitation of our hearing or visual systems is taken into account. For example, it was shown in Chapter 3 that the human ear is not very sensitive to audio signals with frequencies above 10–12 KHz. Similarly, the eyes also do not respond well above 20 cycles/degree. This dependency of our sensory systems on the frequency spectrum of the audio or visual signals has led to the development of transform and subband-based signal processing techniques. In these techniques, the signals are decomposed into various frequency or scale components. Various components are then suitably modified depending on the application at hand. In this Chapter, we will discuss mainly two types of signal decomposition techniques: transform-based decomposition and subband decomposition.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. K. Jain, Fundamentals of Digital Image Processing, Prentice Hall, 1989.
E. O. Brigham, The Fast Fourier Transform, Prentice Hall, 1974.
K. R. Rao and R. C. Yip, The Transform and Data Compression Handbook, CRC Press, New York, 2000.
P. P. Vaidyanathan, Multirate Systems and Filterbanks, Prentice Hall, 1992.
C. S. Burrus, R. A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms, Prentice Hall, 1998.
S. G. Mallat, “A theory for multiresolution signal representation: the wavelet decomposition,” IEEE Trans, on Pattern Analysis and Machine Intelligence, Vol. 11, pp. 674–693, July 1989.
M. K. Mandai, Wavelet Theory and Implementation, Chapter 3 of M.A.Sc Thesis, Wavelets for Image Compression, University of Ottawa, 1995 (Included in the CD).
R. C. Gonzalez and Richard E. Woods, Digital Image Processing, Addison Wesley, 1993.
B. P. Lathi, Signal Processing and Linear Systems, Berkeley Cambridge Press, 1998.
A. N. Akansu and R. A. Haddad, Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets, 2nd Edition, Academic Press, San Diego, 2001.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Mandal, M.K. (2003). Transforms and Subband Decomposition. In: Multimedia Signals and Systems. The Springer International Series in Engineering and Computer Science, vol 716. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0265-4_5
Download citation
DOI: https://doi.org/10.1007/978-1-4615-0265-4_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4994-5
Online ISBN: 978-1-4615-0265-4
eBook Packages: Springer Book Archive