Adjugate pairs of sparse arrays for sampling two dimensional signals

Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a pair of arrays, and is useful in array processing and image processing applications. For example, the coarray allows one to identify many more...

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Vydané v:2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) s. 3936 - 3939
Hlavní autori: Vaidyanathan, P. P., Pal, Piya
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 01.05.2011
Predmet:
adjugates
coarrays
DFT filter banks
Discrete Fourier transforms
lattice arrays
Lattices
Manganese
multidimensional arrays
Passband
Sensor arrays
Sparse matrices
Sparse sensing
ISBN:9781457705380, 1457705389
ISSN:1520-6149
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Abstract Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a pair of arrays, and is useful in array processing and image processing applications. For example, the coarray allows one to identify many more sources than sensors. After a brief review of these fundamentals, this paper examines the case where the two arrays are generated by matrices that are adjugates of each other. In this case it is possible to obtain a dense rectangular tiling of the 2D frequency plane from a pair of coarse 2D DFT filter banks. The special case where the adjugate pairs are generated by skew circulant matrices has some advantages, which are examined in detail.
AbstractList Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a pair of arrays, and is useful in array processing and image processing applications. For example, the coarray allows one to identify many more sources than sensors. After a brief review of these fundamentals, this paper examines the case where the two arrays are generated by matrices that are adjugates of each other. In this case it is possible to obtain a dense rectangular tiling of the 2D frequency plane from a pair of coarse 2D DFT filter banks. The special case where the adjugate pairs are generated by skew circulant matrices has some advantages, which are examined in detail.
Author Pal, Piya
Vaidyanathan, P. P.
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  organization: Dept. of Electrical Engineering, MC 136-93, California Institute of Technology, Pasadena, 91125, USA
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Snippet Sparse sampling with coprime lattice arrays was introduced recently in the literature. It has been shown that a dense coarray can be constructed from such a...
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StartPage 3936
SubjectTerms adjugates
coarrays
DFT filter banks
Discrete Fourier transforms
lattice arrays
Lattices
Manganese
multidimensional arrays
Passband
Sensor arrays
Sparse matrices
Sparse sensing
Title Adjugate pairs of sparse arrays for sampling two dimensional signals
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