Joint Estimation of DOA and Frequency of Multiple Sources with Orthogonal Coprime Arrays

Kai-Chieh Hsu; Jean-Fu Kiang

doi:10.3390/s19020335

Joint Estimation of DOA and Frequency of Multiple Sources with Orthogonal Coprime Arrays

Sensors (Basel). 2019 Jan 15;19(2):335. doi: 10.3390/s19020335.

Authors

Kai-Chieh Hsu¹, Jean-Fu Kiang²

Affiliations

¹ Department of Electrical Engineering, National Taiwan University, Taipei 106, Taiwan. b03901026@ntu.edu.tw.
² Department of Electrical Engineering, National Taiwan University, Taipei 106, Taiwan. jfkiang@ntu.edu.tw.

Abstract

A two-stage method is proposed to jointly estimate the direction-of-arrival (DOA) and carrier frequency (CF) of multiple sources, by using two orthogonal coprime arrays (CPAs). The DOAs of CF-known sources are estimated first by applying a spatial smoothing MUSIC algorithm. The contribution of these source signals is then removed from the originally received signal by applying an orthogonal complement projector. Next, a joint-ESPRIT algorithm is applied to estimate the DOAs and CFs of the remaining CF-unknown sources. With two orthogonal CPA(5, 6), the RMSE of DOA and CF of applying the proposed method to 30 sources, 13 of which have unknown CF, is less than 1% at SNR > 5 dB.

Keywords: array signal processing; carrier frequency; coprime array; direction-of-arrival.