Sparse coprime sensing with multidimensional lattice arrays

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...

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Veröffentlicht in:2011 IEEE Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop S. 425 - 430
Hauptverfasser: Vaidyanathan, P P, Pal, P
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.01.2011
Schlagworte:
Antenna arrays
Artificial neural networks
coprime arrays
Correlation
DFT filter banks
Discrete Fourier transforms
lattice arrays
Lattices
Manganese
multidimensional coarrays
Passband
sampling
Sparse sensing
ISBN:1612842267, 9781612842264
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Zusammenfassung: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 statistics, 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.
ISBN:1612842267
9781612842264
DOI:10.1109/DSP-SPE.2011.5739252