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 http://resolver.caltech.edu/CaltechAUTHORS:CHEieeetsp93c
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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.
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||26 Mar 2008|
|Last Modified:||26 Dec 2012 09:54|
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