DOA and Noncircular Phase Estimation of Noncircular Signal via an Improved Noncircular Rotational Invariance Propagator Method

Abstract

We consider the computationally efficient direction-of-arrival (DOA) and noncircular (NC) phase estimation problem of noncircular signal for uniform linear array. The key idea is to apply the noncircular propagator method (NC-PM) which does not require eigenvalue decomposition (EVD) of the covariance matrix or singular value decomposition (SVD) of the received data. Noncircular rotational invariance propagator method (NC-RI-PM) avoids spectral peak searching in PM and can obtain the closed-form solution of DOA, so it has lower computational complexity. Animproved NC-RI-PMalgorithm of noncircular signal for uniform linear array is proposed to estimate the elevation angles and noncircular phases with automatic pairing. We reconstruct the extended array output by combining the array output and its conjugated counterpart. Our algorithm fully uses the extended array elements in the improved propagator matrix to estimate the elevation angles and noncircular phases by utilizing the rotational invariance property between subarrays. Compared with NC-RI-PM, the proposed algorithm has better angle estimation performance and much lower computational load. The computational complexity of the proposed algorithm is analyzed. We also derive the variance of estimation error and Cramer-Rao bound (CRB) of noncircular signal for uniform linear array. Finally, simulation results are presented to demonstrate the effectiveness of our algorithm.

Enhanced 2D-DOA Estimation for Large Spacing Three-Parallel Uniform Linear Arrays

“…It uses linear partitioning instead of any EVD or SVD to reduce complexity. Then, Chen et al [8] extend it to the DOA estimation of noncircular signal. References [9][10][11] extend the PM algorithm to 2D direction estimation.…”

“…Then, we can get the true 2D-DOA of targets. Simulation results show that it cannot only avoid the problem in [8][9][10][11] simultaneously but also has better estimation accuracy than algorithm of [12] because of adopting large aperture. And the complexity of the algorithm is comparable to that algorithm of [12].…”

Estimation of DOA for Noncircular Signals via Vandermonde Constrained Parallel Factor Analysis

“…Besides taking the noncircularity of signals into account, the maximum number of sources can potentially exceed the number of array elements. Consequently, solid researches on NC signals for DOA estimation have appeared in many literatures [11][12][13][14]. NC ESPRIT algorithm and NC Unitary ESPRIT algorithm for DOA estimation were presented in [11,12], respectively.…”

DOA Estimation of Noncircular Signals with Combined ESPRIT for Coprime Linear Array

“…Actually, in communication systems, noncircular signals have been widely used, such as amplitude modulation (AM) and binary phase shift keying (BPSK) signals [4][5]. Noncircular signals have aroused attentions in the field of array signal processing and the noncircular feature has been widely used to enhance the DOA estimation performance.…”

“…We just consider the signal of maximum noncircular rate in this paper, as for the definition of noncircular signals [5], the vector of strictly second-order noncircular signals can be expressed as…”