Vaidyanathan, Palghat P. and Pal, Piya (2011) Sparse Sensing With Co-Prime Samplers and Arrays. IEEE Transactions on Signal Processing, 59 (2). pp. 573-586. ISSN 1053-587X http://resolver.caltech.edu/CaltechAUTHORS:20110316-090045506
Full text not available from this repository.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20110316-090045506
This paper considers the sampling of temporal or spatial wide sense stationary (WSS) signals using a co-prime pair of sparse samplers. Several properties and applications of co-prime samplers are developed. First, for uniform spatial sampling with M and N sensors where M and N are co-prime with appropriate interelement spacings, the difference co-array has O(MN) freedoms which can be exploited in beamforming and in direction of arrival estimation. An M-point DFT filter bank and an N-point DFT filter bank can be used at the outputs of the two sensor arrays and their outputs combined in such a way that there are effectively MN bands (i.e., MN narrow beams with beamwidths proportional to 1/MN), a result following from co-primality. The ideas are applicable to both active and passive sensing, though the details and tradeoffs are different. Time domain sparse co-prime samplers also generate a time domain co-array with O(MN) freedoms, which can be used to estimate the autocorrelation at much finer lags than the sample spacings. This allows estimation of power spectrum of an arbitrary signal with a frequency resolution proportional to 2π/(MNT) even though the pairs of sampled sequences x_c(NTn) and x_c(MTn) in the time domain can be arbitrarily sparse - in fact from the sparse set of samples x_c(NTn) and x_c(MTn) one can estimate O(MN) frequencies in the range |ω| < π/T. It will be shown that the co-array based method for estimating sinusoids in noise offers many advantages over methods based on the use of Chinese remainder theorem and its extensions. Examples are presented throughout to illustrate the various concepts.
|Additional Information:||© 2010 IEEE. Manuscript received June 24, 2010; revised August 31, 2010; accepted October 16, 2010. Date of publication October 25, 2010; date of current version January 12, 2011. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Arie Yeredor. This work was supported in parts by the ONR Grant N00014-08-1-0709, and the California Institute of Technology.|
|Subject Keywords:||Co-arrays, co-prime arrays, sampling, sparse sensing|
|Other Numbering System:|
|Official Citation:||Vaidyanathan, P.P.; Pal, P.; , "Sparse Sensing With Co-Prime Samplers and Arrays," Signal Processing, IEEE Transactions on , vol.59, no.2, pp.573-586, Feb. 2011 doi: 10.1109/TSP.2010.2089682 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5609222&isnumber=5685344|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Benjamin Perez|
|Deposited On:||16 Mar 2011 16:38|
|Last Modified:||16 Mar 2011 16:39|
Repository Staff Only: item control page