NDLI: On the Fast Fractional Jacket Transform

Content Provider	Springer Nature Link
Author	Mao, Yun Peng, Jun Guo, Ying Lee, Moon Ho
Copyright Year	2013
Abstract	Motivated by the center weighted Hadamard matrix, we propose an improved algorithm for the fast fractional jacket transform (FRJT) based on eigendecomposition of the fractional jacket matrix (FRJM). Employing a matrix diagonalization transformation that decomposes a matrix of large size into products of the matrices composed of eigenvectors and eigenvalues, an FRJM of large size can be fast factored into products of several sparse matrices in a recursive fashion. To generate an FRJM of large size, an algorithm for the factorable FRJM can be conveniently designated with a reduced computational complexity in terms of additions and multiplications. Since the proposed FRJM itself concerns interpretation as a suitable rotation in the time-frequency domain, it is applicable for optics and signal processing.
Starting Page	1491
Ending Page	1505
Page Count	15
File Format	PDF
ISSN	0278081X
Journal	Circuits, Systems, and Signal Processing
Volume Number	33
Issue Number	5
e-ISSN	15315878
Language	English
Publisher	Springer US
Publisher Date	2013-11-28
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fractional jacket transform Jacket matrix Matrix decomposition Fractional Hadamard transform Hadamard transform Signal processing Circuits and Systems Electrical Engineering Signal, Image and Speech Processing Electronics and Microelectronics, Instrumentation
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Signal Processing

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