Multirate Polyphase and Wavelet Filter Banks

The last chapter is devoted to the relatively advanced topic of filter banks. There has been much recent research literature regarding primarily critically sampled filter banks. This is appropriate in audio compression applications. This book, however, is not focused on compression applications, and therefore so-called oversampled filter banks are of primary interest. After introducing the basic terminology and properties of elementary perfect-reconstruction filter banks, it is shown that the polyphase representation of a filter bank can be recognized as an overlap-add representation, such as we develop in Chapter 7 and apply in Chapter 9. Thus, there is a unified view of polyphase filter banks and STFT processing.

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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.