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Sensors 2018, 18(2), 344;

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

School of Information and Electronics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, Beijing 100081, China
Author to whom correspondence should be addressed.
Received: 15 December 2017 / Revised: 17 January 2018 / Accepted: 22 January 2018 / Published: 25 January 2018
(This article belongs to the Section Physical Sensors)
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In this paper, we propose a vectorized noncircular MUSIC (VNCM) algorithm based on the concept of the coarray, which can construct the difference and sum (diff–sum) coarray, for direction finding of the noncircular (NC) quasi-stationary sources. Utilizing both the NC property and the concept of the Khatri–Rao product, the proposed method can be applied to not only the ULA but also sparse arrays. In addition, we utilize the quasi-stationary characteristic instead of the spatial smoothing method to solve the coherent issue generated by the Khatri–Rao product operation so that the available degree of freedom (DOF) of the constructed virtual array will not be reduced by half. Compared with the traditional NC virtual array obtained in the NC MUSIC method, the diff–sum coarray achieves a higher number of DOFs as it comprises both the difference set and the sum set. Due to the complementarity between the difference set and the sum set for the coprime array, we choose the coprime array with multiperiod subarrays (CAMpS) as the array model and summarize the properties of the corresponding diff–sum coarray. Furthermore, we develop a diff–sum coprime array with multiperiod subarrays (DsCAMpS) whose diff–sum coarray has a higher DOF. Simulation results validate the effectiveness of the proposed method and the high DOF of the diff–sum coarray. View Full-Text
Keywords: noncircular signals; DOA estimation; virtual array; coprime array noncircular signals; DOA estimation; virtual array; coprime array

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Chen, Z.; Ding, Y.; Ren, S.; Chen, Z. A Novel Noncircular MUSIC Algorithm Based on the Concept of the Difference and Sum Coarray. Sensors 2018, 18, 344.

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