Polynomial-rooting based fourth-order MUSIC for direction-of-arrival estimation of noncircular signals

Abstract

A polynomial-rooting based fourth-order cumulant algorithm is presented for direction-of-arrival (DOA) estimation of second-order fully noncircular source signals, using a uniform linear array (ULA). This algorithm inherits all merits of its spectralsearching counterpart except for the applicability to arbitrary array geometry, while reducing considerably the computation cost. Simulation results show that the proposed algorithm outperforms the previously developed closed-form second-order noncircular ESPRIT method, in terms of processing capacity and DOA estimation accuracy, especially in the presence of spatially colored noise.

Non‐circular signals for nested array: sum–difference co‐array and direction of arrival estimation algorithm

“…In [12], the MUSIC‐like algorithm was proposed to solve the problem of DOA estimation of NC signals and the improved MUSIC algorithm for the mixture of NC and circular signals was presented in [13]. By utilising high‐order cumulants, the NC‐2q‐MUSIC algorithm [14] and the Root‐NC‐FO‐MUSIC algorithm [15] were proposed to detect more sources but with high computational complexity. To release the computational burden, the root‐MUSIC‐like algorithm was proposed to circumvent the time‐consuming spectral search in [16] while the real‐valued MUSIC algorithm in [17] transformed the received signal into real‐valued data.…”

A Novel Noncircular MUSIC Algorithm Based on the Concept of the Difference and Sum Coarray

“…Noncircular (NC) signals, such as amplitude-modulated (AM) signals and binary phase-shift keying (BPSK)-modulated signals, have been widely applied in various communication systems [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 ]. Different from circular signals, which can only use the information in the covariance matrix for direction finding, NC signals can use the information in both the covariance matrix and the elliptic covariance matrix for direction finding.…”

“…These algorithms mostly utilize the uniform linear array (ULA) as the array model and can detect at most sources with N physical sensors. In order to detect more sources, some NC high-order cumulant MUSIC methods based on the non-Gaussian characteristic of many NC sources, such as the NC 2q-MUSIC method [ 13 ] and ROOT NC 4-MUSIC method [ 2 ], have been proposed. However, the array model in these methods is still the ULA, and the computation complexity of the cumulant-based methods are large.…”

Direction-of-arrival of strictly non-circular sources based on weighted mixed-norm minimization

“…*Correspondence: tanweijie@hotmail.com 1 School of Marine Science and Technology, Northwestern Polytechnical University, 710072 Xi'an, People's Republic of China Full list of author information is available at the end of the article So far, a large number of subspace-based parameter estimation algorithm, which exploited the non-circular property of the signal, had been proposed in the literatures, for example, non-circular multiple signal classification (NC-MUSIC) [9], polynomial rooting NC-MUSIC (NC-Root-MUSIC) [10], fourth-order NC-Root-MUSIC (NC-Root-FO-MUSIC) [11], and unitary ESPRIT for non-circular sources (NC-unitary-ESPRIT) [12], which aim to increase degree of freedom (DoF) and improve angular estimation accuracy. For example, the work in [13] utilized the conjugation information of the partial received signal to extend the virtual aperture as well as the joint virtual array, by using a forward spatial smoothing technique in order to handle the coherent source.…”