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Wavelet, as a popular analysis tool in signal
processing, is closely related with the
multirate filter banks, which is the fundament
of signal processing.
The
course mainly involves the theories of multirate
filter banks (FBs) and wavelet, in addition, and
their applications. It falls into two sections:
FBs and wavelet. The first section begins with
the design of filter, and then introduces the
fundamental concepts, properties and theory of
multirate FBs. Furthermore, several types of
FBs, such as cosine-modulated FBs, linear phase
FBs, time varying FBs, 2-dimmensional FBs,
directional FBs, are analyzed. In the end of
this section, the applications of FBs in
communication are introduced. In the second
section, some concepts, such as time-frequency
analysis, multiresolution, frame, vanishing
moment and smoothness, etc., are introduced to
present the theory of wavelet. A
cosine-modulation based method is given to
design wavelet in succession. Some applications
of wavelet are presented. Optimal deconvolution
in density estimation and matching wavelet are
introduced in the end. |
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