Date of Award


Publication Type

Master Thesis

Degree Name



Electrical and Computer Engineering


Engineering, Electronics and Electrical.


Sid-Ahmed, M. A.,




Three-Dimensional (3-D) digital signal processing is becoming increasingly important, and finding applications in diverse areas of current interest, such as computer tomography, geophysics, video and robotics. Three-Dimensional signals offer a significant advantage over 2-D signals which the ability to preserve spacial information. Since almost any detected signal could be contaminated with unwanted noise, 3-D filtering is an important process. In order facilitate 3-D signal processing it is necessary to extend the widely applied 2-D filter design techniques to 3-D. Of the two classes of 3-D filters, namely, recursive and nonrecursive, the first one is more efficient in terms of hardware costs. However recursive filters suffer from stability problem and phase linearity. This thesis deals with the design of 3-D recursive and non-recursive filters by extending some of the 2D design techniques. In the first part JAVA programming language will be used to implement Simpson's rule for triple integration, 3-D FFT, 3-D window function and 3-D plots of frequency response of the filters. In the second part linear and non-linear optimization techniques will be used to determine the coefficients of the transfer function of the 3-D digital filter. (Abstract shortened by UMI.)Dept. of Electrical and Computer Engineering. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1999 .E44. Source: Masters Abstracts International, Volume: 39-02, page: 0561. Adviser: M. A. Sid-Ahmed. Thesis (M.A.Sc.)--University of Windsor (Canada), 1999.