The symmetric convolution approach to the nonexpansive implementations of FIR filter banks for images

Authors:
Stephen A. Martucci;Russell M. Mersereau
Affiliations:
School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA;School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA
Venue:
ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
Year:
1993

Citing 1
Cited 1

Discrete cosine transform: algorithms, advantages, applications

Discrete cosine transform: algorithms, advantages, applications

Image filtering in the block DCT domain using symmetric convolution

Journal of Visual Communication and Image Representation

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Abstract

This paper describes symmetric convolution and its use for the nonexpansive implementation of multirate filter banks for images. Symmetric convolution is a formalized approach to convolving symmetric FIR filters with symmetrically extended data. It is efficient because the discrete sine and cosine transforms (DST & DCT) can be used to perform the convolution as a transform-domain multiplication. This paper explains how to use symmetric convolution to implement a multiband filter bank for finite-length data that restricts the number of samples in the subbands but still gives perfect reconstruction.