Effect of Sparse Array Geometry on Estimation of Co-array Signal Subspace

Authors

  • Mehmet Can Huc¨ umeno ¨ glu University of California, San Diego
  • Piya Pal ˘ University of California, San Diego

Keywords:

Davis Kahan, Difference co-arrays, Sparse arrays, Subspace Estimation

Abstract

This paper considers the effect of sparse array geometry on the co-array signal subspace estimation error for Direction-of-Arrival (DOA) estimation. The second largest singular value of the signal covariance matrix plays an important role in controlling the distance between the true subspace and its estimate. For a special case of two closely-spaced sources impinging on the array, we explicitly compute the second largest singular value of the signal covariance matrix and show that it can be significantly larger for a nested array when compared against a uniform linear array with same number of sensors.

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References

P. Pal and P. Vaidyanathan, “Nested arrays: A novel approach to array processing with enhanced degrees of freedom,” IEEE Transactions on Signal Processing, vol. 58, no. 8, pp. 4167–4181, 2010.

P. P. Vaidyanathan and P. Pal, “Sparse sensing with co-prime samplers and arrays,” IEEE Transactions on Signal Processing, vol. 59, no. 2, pp. 573–586, 2011.

H. Qiao and P. Pal, “On maximum-likelihood methods for localizing more sources than sensors,” IEEE Signal Processing Letters, vol. 24, no. 5, pp. 703–706, 2017.

M. Wang and A. Nehorai, “Coarrays, music, and the cramer–rao bound,” ´ IEEE Transactions on Signal Processing, vol. 65, no. 4, pp. 933–946, Feb. 2017.

A. Koochakzadeh and P. Pal, “Cramer–rao bounds for underdetermined ´ source localization,” IEEE Signal Processing Letters, vol. 23, no. 7, pp. 919–923, 2016.

P. Pal and P. P. Vaidyanathan, “Coprime sampling and the music algorithm,” in 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE). IEEE, 2011, pp. 289–294.

R. Schmidt, “Multiple emitter location and signal parameter estimation,” IEEE Transactions on Antennas and Propagation, vol. 34, no. 3, pp. 276– 280, 1986.

C. Davis and W. M. Kahan, “The rotation of eigenvectors by a perturbation. iii,” SIAM Journal on Numerical Analysis, vol. 7, no. 1, pp. 1–46, 1970

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Published

2020-11-07

How to Cite

[1]
Mehmet Can Huc¨ umeno ¨ glu and Piya Pal ˘, “Effect of Sparse Array Geometry on Estimation of Co-array Signal Subspace”, ACES Journal, vol. 35, no. 11, pp. 1435–1436, Nov. 2020.

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Section

General Submission