A New Sparse Matrix Analysis of DFT Similar to Element Inverse Jacket Transform 


Vol. 32,  No. 4, pp. 440-446, Apr.  2007


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  Abstract

This paper addresses a new representation of DFT matrix via the Jacket transform based on the element inverse processing. We simply represent the inverse of the DFT matrix following on the factorization way of the Jacket transform, and the results show that the inverse of DFT matrix is only simply related to its sparse matrix and the permutations. The decomposed DFT matrix via Jacket matrix has a strong geometric structure that exhibits a block modulating property. This means that the DFT matrix decomposed via the Jacket matrix can be interpreted as a block modulating process.

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  Cite this article

[IEEE Style]

K. Lee, D. Park, M. Lee, S. Choi, "A New Sparse Matrix Analysis of DFT Similar to Element Inverse Jacket Transform," The Journal of Korean Institute of Communications and Information Sciences, vol. 32, no. 4, pp. 440-446, 2007. DOI: .

[ACM Style]

Kwang-jae Lee, Dae-chul Park, Moon-Ho Lee, and Seung-je Choi. 2007. A New Sparse Matrix Analysis of DFT Similar to Element Inverse Jacket Transform. The Journal of Korean Institute of Communications and Information Sciences, 32, 4, (2007), 440-446. DOI: .

[KICS Style]

Kwang-jae Lee, Dae-chul Park, Moon-Ho Lee, Seung-je Choi, "A New Sparse Matrix Analysis of DFT Similar to Element Inverse Jacket Transform," The Journal of Korean Institute of Communications and Information Sciences, vol. 32, no. 4, pp. 440-446, 4. 2007.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880