DocumentCode
1425986
Title
Linear Summation of Fractional-Order Matrices
Author
Tao, Ran ; Zhang, Feng ; Wang, Yue
Author_Institution
Dept. of Electron. Eng., Beijing Inst. of Technol., Beijing, China
Volume
58
Issue
7
fYear
2010
fDate
7/1/2010 12:00:00 AM
Firstpage
3912
Lastpage
3916
Abstract
Yeh and Pei presented a computation method for the discrete fractional Fourier transform (DFRFT) that the DFRFT of any order can be computed by a linear summation of DFRFTs with special orders. Based on their work, we investigate linear summation of fractional-order matrices in a general and comprehensive manner in this paper. We have found that for any diagonalizable periodic matrices, linear summation of fractional-order forms with special orders is related to the size and the period of the fractional-order matrix. Moreover, some properties and generalized results about linear summation of fractional-order matrices are also presented.
Keywords
discrete Fourier transforms; matrix algebra; signal processing; DFRFT; discrete fractional Fourier transform; fractional order matrices; linear summation; Diagonalizable matrix; discrete fractional Fourier transform; eigendecomposition; fractional-order matrix;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/TSP.2010.2044288
Filename
5419993
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