DocumentCode
1353532
Title
Comments, with reply, on `Matrix formulation for Dolph-Chebyshev beamforming´ by A. Zielinski
Author
Bayha, William T.
Author_Institution
American Electron Lab. Inc., Lansdale, PA, USA
Volume
79
Issue
7
fYear
1991
fDate
7/1/1991 12:00:00 AM
Firstpage
1083
Lastpage
1084
Abstract
In the above-titled letter by A. Zielinski (see ibid., vol.74, p.1799-1800, Dec. 1986), two linear sampling intervals are proposed for the matrix determination of Dolph-Chebyshev weights, for the case of a linear array consisting of an even number of elements. However, it appears that the use of either interval results identically in a rank-deficient coefficient matrix, such that a solution is not possible. The commenter proposes nonlinear sampling intervals for both an even and odd number of elements which do not appear to display this difficulty. Zielinski replies that there is a typographical error in the original paper. This correction has been published (see ibid. vol.77, p.934, Jun 1989)
Keywords
antenna arrays; antenna theory; matrix algebra; Chebyshev polynomial; Dolph-Chebyshev beamforming; Dolph-Chebyshev weights; antenna arrays; linear array; linear sampling intervals; nonlinear sampling intervals; rank-deficient coefficient matrix; Acoustic signal detection; Array signal processing; Chebyshev approximation; Displays; Matrices; Pathology; Polynomials; Sampling methods; Testing; Underwater acoustics;
fLanguage
English
Journal_Title
Proceedings of the IEEE
Publisher
ieee
ISSN
0018-9219
Type
jour
DOI
10.1109/5.84988
Filename
84988
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