Filter Banks and Wavelets
In this section we review some of the classic results in the development of filter bank theory and subband transforms. The reader is encouraged not to gloss over this material, since it provides a foundation for intuition concerning subband transforms. We take up from the introduction to subband transforms in Section 4.2. As a departure from the development there, however, we shall assume for simplicity that the analysis and synthesis filters (respectively, the analysis and synthesis vectors) have only real-valued coefficients.
KeywordsDiscrete Wavelet Transform Filter Bank Scaling Function Perfect Reconstruction Synthesis Filter
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