TY - JOUR
T1 - Linear summation of fractional-Order matrices
AU - Tao, Ran
AU - Zhang, Feng
AU - Wang, Yue
PY - 2010/7
Y1 - 2010/7
N2 - 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.
AB - 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.
KW - Diagonalizable matrix
KW - Discrete fractional Fourier transform
KW - Eigendecomposition
KW - Fractional-order matrix
UR - http://www.scopus.com/inward/record.url?scp=77953768300&partnerID=8YFLogxK
U2 - 10.1109/TSP.2010.2044288
DO - 10.1109/TSP.2010.2044288
M3 - Article
AN - SCOPUS:77953768300
SN - 1053-587X
VL - 58
SP - 3912
EP - 3916
JO - IEEE Transactions on Signal Processing
JF - IEEE Transactions on Signal Processing
IS - 7
M1 - 5419993
ER -