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Linear filtering in DCT IV/DST IV and MDCT/MDST domain

Suresh, K and Sreenivas, TV (2009) Linear filtering in DCT IV/DST IV and MDCT/MDST domain. In: Signal Processing, 89 (6). pp. 1081-1089.

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In this paper, expressions for convolution multiplication properties of DCT IV and DST IV are derived starting from equivalent DFT representations. Using these expressions methods for implementing linear filtering through block convolution in the DCT IV and DST IV domain are proposed. Techniques developed for DCT IV and DST IV are further extended to MDCT and MDST where the filter implementation is near exact for symmetric filters and approximate for non-symmetric filters. No additional overlapping is required for implementing the symmetric filtering in the MDCT domain and hence the proposed algorithm is computationally competitive with DFT based systems. Moreover, inherent 50% overlap between the adjacent frames used for MDCT/MDST domain reduces the blocking artifacts due to block processing or quantization. The techniques are computationally efficient for symmetric filters and provides a new alternative to DFT based convolution.

Item Type: Journal Article
Publication: Signal Processing
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Transform domain filtering;Convolution; Discrete cosine transforms;Discrete sine transforms;Modified discrete cosine transform;Modified discrete sine transform.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 28 Aug 2009 15:30
Last Modified: 19 Sep 2010 05:30
URI: http://eprints.iisc.ac.in/id/eprint/19869

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