ABSTRACT
This chapter discusses a discrete version of the continuous wavelet transform and outlines basics of discrete wavelet transform. Functions can be expressed in terms of the scaling and the mother wavelet functions. The chapter describes relationships between wavelet coefficients at different scales. The reconstruction of the original signal simply proceeds in the opposite direction. The low-frequency output of a particular stage during the forward wavelet transformation is then successively passed though the same set of two (the low-pass and high-pass) filters. The low-frequency output of the very last iteration, and the high-frequency output of all the iterations is preserved. This actually constitutes the wavelet transform. An alternate and more powerful scheme for multiresolution analysis is specified.
