volume | PIER Journals

2018-01-12

DOA Estimation of Quasi-Stationary Signals Using a Partly-Calibrated Uniform Linear Array with Fewer Sensors Than Sources

Kai-Chieh Hsu,

Dr. Kai-Chieh Hsu

Department of Electrical Engineering

National Taiwan University

Taiwan

Homepage

Jean-Fu Kiang

Prof. Jean-Fu Kiang

Department of Electrical Engineering

National Taiwan University

China

Homepage

Progress In Electromagnetics Research M, Vol. 63, 185-193, 2018

doi:10.2528/PIERM17080306

Abstract

A two-step method is proposed to estimate the direction-of-arrivals (DOAs) of quasi-stationary source signals, with a partlycalibrated uniform linear array (PC-ULA). The special structure of Toeplitz matrix is utilized to estimate the sensors' uncertainties. Then, a Khatri-Rao (KR) based multiple signal classification (MUSIC) algorithm is proposed to estimate the DOAs of source signals. Simulation results show that the proposed method renders lower root-mean-square-error (RMSE) than existing KR-based ESPRIT algorithms, especially under low signal-to-noise-ratio (SNR) and small angle separation between DOAs. It is also shown that the proposed method increases the degree-of-freedom (DOF) by one, as compared to the counterpart ESPRIT methods.

Citation

Copy Export

Kai-Chieh Hsu, and Jean-Fu Kiang, "DOA Estimation of Quasi-Stationary Signals Using a Partly-Calibrated Uniform Linear Array with Fewer Sensors Than Sources," Progress In Electromagnetics Research M, Vol. 63, 185-193, 2018.
doi:10.2528/PIERM17080306

References

1., Schmidt and R., "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propagat., Vol. 34, No. 3, 276-280, 1986.
doi:10.1109/TAP.1986.1143830

2. Roy, R. and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acous. Speech Signal Process., Vol. 37, No. 7, 984-995, 1989.
doi:10.1109/29.32276

3. Liao, B. and S. C. Chan, "Direction finding with partly calibrated uniform linear arrays," IEEE Trans. Antennas Propagat., Vol. 60, No. 2, 922-929, 2012.
doi:10.1109/TAP.2011.2173144

4. Liao, B. and S. C. Chan, "Direction finding in partly calibrated uniform linear arrays with unknown gains and phases," IEEE Trans. Aerospace Electron. Syst., Vol. 51, No. 1, 217-227, 2015.
doi:10.1109/TAES.2014.130460

5. Liao, B., L. Huang, C. Guo, and S. C. Chan, "Direction finding with partly calibrated uniform linear arrays in nonuniform noise," IEEE Sensors J., Vol. 16, No. 12, 4882-4890, 2016.
doi:10.1109/JSEN.2016.2550664

6. Zhang, X., Z. He, X. Zhang, Z. Cheng, and Y. Lu, "Simultaneously estimating DOA and phase error of a partly calibrated ULA by data reconstruction," IEEE Int. Conf. Signal Process., 399-403, 2016.

7. Mao, W. K., T. H. Hsieh, and C. Y. Chi, "DOA Estimation of quasi-stationary signals with less sensors than sources and unknown spatial noise covariance A Khatri-Rao subspace approach," IEEE Trans. Signal Process., Vol. 58, No. 4, 2168-2180, 2010.
doi:10.1109/TSP.2009.2034935

8. Wang, B., W. Wang, Y. Gu, and S. Lei, "Underdetermined DOA estimation of quasi-stationary signals using a partly-calibrated array," Sensors, Vol. 17, No. 4, 702, 2017.
doi:10.3390/s17040702