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EURASIP Journal on Advances in Signal Processing
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Fast DCT-I, DCT-III, and DCT-IV via Moments

EURASIP Journal on Advances in Signal Processing volume 2005, Article number: 959583 (2005) Cite this article

Abstract

This paper presents a novel approach to compute DCT-I, DCT-III, and DCT-IV. By using a modular mapping and truncating, DCTs are approximated by linear sums of discrete moments computed fast only through additions. This enables us to use computational techniques developed for computing moments to compute DCTs efficiently. We demonstrate this by applying our earlier systolic solution to this problem. The method can also be applied to multidimensional DCTs as well as their inverses.

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Authors and Affiliations

  1. Key Laboratory of Education Ministry for Image Processing and Intelligence Control, Institute for Pattern Recognition and Artificial Intelligence, Huazhong University of Science & Technology, Wuhan, 430074, China

    J. G. Liu & G. Y. Wang

  2. Department of Computer Science and Engineering, China University of Geosciences, Wuhan, 430074, China

    Y. Z. Liu

Authors
  1. J. G. Liu
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  2. Y. Z. Liu
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  3. G. Y. Wang
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Correspondence to J. G. Liu.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Liu, J.G., Liu, Y.Z. & Wang, G.Y. Fast DCT-I, DCT-III, and DCT-IV via Moments. EURASIP J. Adv. Signal Process. 2005, 959583 (2005). https://doi.org/10.1155/ASP.2005.1902

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  • DOI: https://doi.org/10.1155/ASP.2005.1902

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