COPRIME ARRAYS WITH ENHANCED DEGREES OF FREEDOM
Coprime array geometries provide robust performance for direction-of-arrival estimation problem with more sources than sensor elements. In previous works it is shown that K source directions can be resolved using only 2M + N -1 sensor elements where K is less than or equal to MN. In this paper we introduce a new approach to enhance the degrees of freedom (DOF) from MN to 2MN by using the same number of sensor elements. The proposed method is based on computing the covariance matrix of the observation data multiple times. Hence more DOF can be obtained. The resulting cross terms corresponding to the coherent sources are modeled as an interference in a sparse recovery algorithm which is solved effectively by an alternating minimization procedure. The theoretical analysis of the proposed method is provided and its superior performance is evaluated through numerical simulations.
___
- Tuncer T.E, Friedlander B, Classical and Modern Direction-of-Arrival Estimation. Academic Press, 2009.
- Schmidt R.O. Multiple emitter location and signal parameter estimation. Antennas and Propagation, IEEE Transactions on, 34(3):276–280, Mar 1986.
- Pillai S.U, Bar-Ness Y, Haber F, A new approach to array geometry for improved spatial spectrum estimation. Proceedings of the IEEE, 73(10):1522–1524, Oct 1985.
- Abramovich Y.I, Gray D.A, Gorokhov A.Y, Spencer N.K, Positive-definite toeplitz completion in doa estimation for nonuniform linear antenna arrays. i. fully augmentable arrays. IEEE Transactions on Signal Processing, 46(9):2458–2471, Sep 1998.
- Abramovich Y.I, Spencer N.K, Gorokhov A.Y, Positive-definite toeplitz completion in doa estimation for nonuniform linear antenna arrays. ii. partially augmentable arrays. IEEE Transactions on Signal Processing, 47(6):1502–1521, Jun 1999.
- Pal P, Vaidyanathan P.P, Nested arrays: A novel approach to array processing with enhanced degrees of freedom. IEEE Transactions on Signal Processing, 58(8):4167–4181, Aug 2010.
- Pal P, Vaidyanathan P.P, Coprime sampling and the music algorithm. In 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE), pages 289–294, Jan 2011.
- Khatri C.G, Radhakrishna Rao C, Solutions to some functional equations and their applications to characterization of probability distributions. SankhyÄ: The Indian Journal of Statistics, Series A (1961-2002), 30(2):167–180, 1968.
- Yang Z, Zhang C, Xie L. Robustly stable signal recovery in compressed sensing with structured matrix perturbation. IEEE Transactions on Signal Processing, 60(9):4658–4671, Sept 2012.
- Eldar Y.C, Sampling Theory: Beyond Bandlimited Systems. Cambridge University Press, New York, NY, USA, 2014.
- ISSN: 2667-4211
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2000
- Yayıncı: Eskişehir Teknik Üniversitesi