Abstract
We introduce an iterative least squares method (ILS) for estimating the 2D-DOA and frequency based on L-shaped array. The ILS iteratively finds direction matrix and delay matrix, then 2D-DOA and frequency can be obtained by the least squares method. Without spectral peak searching and pairing, this algorithm works well and pairs the parameters automatically. Moreover, our algorithm has better performance than conventional ESPRIT algorithm and propagator method. The useful behavior of the proposed algorithm is verified by simulations.
Highlights
Antenna arrays have been used in many fields such as radar, sonar, and mobile communications, and so forth, [1,2,3,4,5,6]
We introduce an iterative least squares method (ILS) for estimating the 2D-direction of arrivals (DOAs) and frequency based on L-shaped array
The useful behavior of the proposed algorithm is verified by simulations
Summary
Antenna arrays have been used in many fields such as radar, sonar, and mobile communications, and so forth, [1,2,3,4,5,6]. The direction of arrival and frequency estimation of signals impinging on an array of sensors have received considerable attention in the field of array signal processing These parameters can be applied to locate the mobiles and allocate pilot tones in space division multiple access (SDMA) systems. Uniform linear arrays for estimation of wave arrival have been studied extensively, and they contain maximum likelihood (ML) [8], multiple signal classification (MUSIC) algorithm [9, 10], estimation of signal parameters via rotational invariance techniques (ESPRIT) [11, 12], propagator method (PM) [13], and so forth. We propose a novel iterative-based angle and frequency estimation algorithm with L-shaped array which can achieve better performance than ESPRIT [11] and propagator method [13]. We denote by (·)∗ the complex conjugation, by (·)T the matrix transpose, and by (·)H the matrix conjugate transpose. diag{·} is to construct a diagonal matrix
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