Chen, Tsuhan and Vaidyanathan, P. P. (1993) Multidimensional multirate filters and filter banks derived from one-dimensional filters. IEEE Transactions on Signal Processing, 41 (5). pp. 1749-1765. ISSN 1053-587X. doi:10.1109/78.215297. https://resolver.caltech.edu/CaltechAUTHORS:CHEieeetsp93c
![]()
|
PDF
See Usage Policy. 1MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:CHEieeetsp93c
Abstract
A method by which every multidimensional (M-D) filter with an arbitrary parallelepiped-shaped passband support can be designed and implemented efficiently is presented. It is shown that all such filters can be designed starting from an appropriate one-dimensional prototype filter and performing a simple transformation. With D denoting the number of dimensions, the complexity of design and implementation of the M-D filter are reduced from O(ND) to O(N). Using the polyphase technique, an implementation with complexity of only 2N is obtained in the two-dimensional. Even though the filters designed are in general nonseparable, they have separable polyphase components. One special application of this method is in M-D multirate signal processing, where filters with parallelepiped-shaped passbands are used in decimation, interpolation, and filter banks. Some generalizations and other applications of this approach, including M-D uniform discrete Fourier transform (DFT) quadrature mirror filter banks that achieve perfect reconstruction, are studied. Several design example are given.
Item Type: | Article | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
ORCID: |
| ||||||
Additional Information: | © Copyright 1993 IEEE. Reprinted with permission. Manuscript received February 9, 1991; revised July 21, 1992. The associate editor coordinating the review of this paper and approving it for publication was Prof. Faye Boudreaux-Bartels. This work was supported in part by the National Science Foundation Grants MIP 8604456, MIP 8919196, and by matching funds from Tektronix, Inc., Hughes Aircraft Company, and Rockwell International. | ||||||
Subject Keywords: | fast Fourier transforms; multidimensional digital filters; signal processing | ||||||
Issue or Number: | 5 | ||||||
DOI: | 10.1109/78.215297 | ||||||
Record Number: | CaltechAUTHORS:CHEieeetsp93c | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:CHEieeetsp93c | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 9915 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Archive Administrator | ||||||
Deposited On: | 26 Mar 2008 | ||||||
Last Modified: | 13 Apr 2022 17:12 |
Repository Staff Only: item control page