2013
DOI: 10.1109/tsp.2013.2251337
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Insights Into MUSIC-Like Algorithm

Abstract: In this work, we focus on a recent algorithm [Z. Ying and B. P. Ng, "MUSIC-like DOA Estaimation Without Estimating the Number of Sources," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1668-1676, 2010], which is remarked to have multiple signal classification (MUSIC)-like performance without requiring to segregate the signal and noise subspaces. The optimization problem solved by this algorithm in each look direction is analyzed to obtain insights into the working principle of the algorithm. Besides showing… Show more

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Cited by 21 publications
(33 citation statements)
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“…It was shown in [16] that the weight vector solution w is the eigenvector corresponds to the minimum eigenvalue λ min of the generalized eigenvalue problem Rw = λ(a(θ)a(θ) H + βI)w, and hence the spatial spectrum of the MUSIC-like algorithm can be obtained by P M like (θ) = 10 log 10 (1/|w H a(θ)| 2 ). The bound for β was proposed in [17] as…”
Section: Problem Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…It was shown in [16] that the weight vector solution w is the eigenvector corresponds to the minimum eigenvalue λ min of the generalized eigenvalue problem Rw = λ(a(θ)a(θ) H + βI)w, and hence the spatial spectrum of the MUSIC-like algorithm can be obtained by P M like (θ) = 10 log 10 (1/|w H a(θ)| 2 ). The bound for β was proposed in [17] as…”
Section: Problem Formulationmentioning
confidence: 99%
“…Major contributions of this letter can be concisely summarized into three points as follows. Firstly, a geometrical interpretation of the MUSIC-like algorithm is provided as a complimentary to its theoretical counterpart which was provided in [17]. To demonstrate its robustness under different noise distributions (Gaussian and heavy-talied), the algorithm will be examined under SαS distributed noise.…”
Section: Introductionmentioning
confidence: 99%
“…Since is a positive definite matrix, the weight vector solution in (6) can also be written in terms of the matrix pencil as [12] (14)…”
Section: A Working Principlementioning
confidence: 99%
“…Similar to methods in other works, PDDA does not require the estimation of the number of sources in the system. Again, MUSIC‐like algorithms in the works of Zhang and Ng and Reddy et al use minor component analysis with the marginal trade‐off in the accuracy of estimating the angles. Another method of complexity reduction lies in the reduction in size of the array manifold.…”
Section: Introductionmentioning
confidence: 99%
“…Tao et al have proposed an oblique projection–based approach for 2D direction estimation from a mixture of coherent and noncoherent signals. In some works, the AoA estimation alone is considered. Zhang et al did an estimation of the azimuth angles of both the angles of arrival and departure by reducing the size of the steering vector to reduce the complexity.…”
Section: Introductionmentioning
confidence: 99%