DocumentCode
1326634
Title
Inversion of block-circulant matrices and circular array approach
Author
Vescovo, Roberto
Author_Institution
Dipt. di Elettrotecnica Elettronica ed Inf., Trieste Univ., Italy
Volume
45
Issue
10
fYear
1997
fDate
10/1/1997 12:00:00 AM
Firstpage
1565
Lastpage
1567
Abstract
Closed-form expressions of the inverse of a block-circulant matrix (BCM) are well known. Such expressions are derived here following two alternative procedures, which are based on the discrete Fourier transform (DFT) and appear to be simple and brief when compared to previously published procedures. In the case of circulant matrices of scalars, the formulas of inversion are derived using the theory of circular arrays and this approach suggested an extension of the DFT to the BCM case
Keywords
antenna arrays; antenna theory; discrete Fourier transforms; matrix inversion; DFT; antenna array; block-circulant matrix inversion; circulant matrices of scalars; circular array theory; closed-form expressions; discrete Fourier transform; Anisotropic magnetoresistance; Antennas and propagation; Closed-form solution; Discrete Fourier transforms; Electromagnetic scattering; Green function; Gyrotropism; Maxwell equations; Microwave propagation; Symmetric matrices;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.633869
Filename
633869
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