Sampling theory in wavelet subspaces.

Title: Sampling theory in wavelet subspaces.
Identifier: AAI9432355
identifier: 9432355
Creator: Luo, Hua.
Contributor: Adviser: Charles R. Giardina
Date: 1994
Language: English
Publisher: City University of New York.
Subject: Computer Science | Engineering, Electronics and Electrical | Mathematics
Abstract: In this dissertation, a method for creating sampling theorems in wavelet subspaces is given. Several sufficient conditions are provided for the sampling theorems to hold. The notion of continuous multiresolution analysis is introduced and the associated sampling theorems are extended to different (scale) wavelet subspaces. Aliasing error analysis techniques based on the idea of "band covering" are developed.;A useful and easy to apply sampling theorem is proven in the wavelet subspaces created by a special class of scaling functions, namely bandlimited sampling scaling functions. Another important sampling theorem is developed for scaling functions with raised cosine spectrum. The connection between the sampling theory and the problem of intersymbol interference is presented.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.