NDLI: Sparse coprime sensing with multidimensional lattice arrays

Content Provider	IEEE Xplore Digital Library
Author	Vaidyanathan, P.P. Pal, P.
Copyright Year	2011
Description	Author affiliation: Dept. of Electrical Engineering, MC 136-93, California Institute of Technology, Pasadena, 91125, USA (Vaidyanathan, P.P.; Pal, P.)
Abstract	Consider two uniform samplers operating simultaneously on a signal, with sample spacings MT and NT where M and N are coprime integers, and T has time or space dimension. It can be shown that the difference coarray of this pair of sampling arrays has elements at all integer multiples of T, regardless of how large M and N are. This implies that any application which depends only on second order statstics, such as angle of arrival estimation, beamforming, and multiple frequency detection, can be carried out at high resolution with the help of sparse sampling arrays. One manifestation is that two sensor arrays withM and N sensors can actually identify O(MN) independent sources. This paper extends these results to the case of multidimensional signals. The multidimensional sampling arrays operate on a lattice geometry. The coarray of such a system is studied. Even though the two lattice arrays are sparse (with respect to the integer grid), the coarray contains all integer vectors. It is also shown how to achieve the effect of a high resolution multidimensional DFT filter bank by combining coprime low resolution filter banks.
Starting Page	425
Ending Page	430
File Size	325020
Page Count	6
File Format	PDF
ISBN	9781612842264
e-ISBN	9781612842271
DOI	10.1109/DSP-SPE.2011.5739252
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-01-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Manganese Artificial neural networks Passband Lattices Discrete Fourier transforms Correlation Antenna arrays DFT filter banks Sparse sensing sampling coprime arrays lattice arrays multidimensional coarrays
Content Type	Text
Resource Type	Article

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