Wideband Direction of Arrival Estimation in the Presence of Unknown Mutual Coupling
Abstract
:1. Introduction
2. Problem Formulation
3. Subarray-Based Wideband DOA Estimation Algorithm
3.1. Derivation of Focusing Matrices
3.2. DOA Estimation with Unknown Mutual Coupling
3.3. Discussion
- (1)
- Divide the array outputs into non-overlapping time slices, each containing samples, and apply DFT in each slice to sample the spectrum of the outputs at a group of frequency bins .
- (2)
- Select the outputs of the middle subarray from Equation (9). The number of nonzero mutual coupling coefficients can be obtained by preliminary measurements at the lowest operating frequency.
- (3)
- Find at the preselected focusing frequency. For each frequency bin, determine and construct the focusing matrix using Equation (20).
- (4)
- Calculate the general focused correlation matrix using Equation (21).
- (5)
- Apply the MUSIC method to for the estimation of the DOA.
- (6)
- In order to avoid blind angles, we choose several focusing frequencies and repeat steps (3) to (5) and then search the peaks of the averaging spectrums in Equation (28). However, considering the cost of computation, this step is usually skipped unless we find some signals are lost.
4. Simulation Results
5. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
Appendix A
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Li, W.; Zhang, Y.; Lin, J.; Guo, R.; Chen, Z. Wideband Direction of Arrival Estimation in the Presence of Unknown Mutual Coupling. Sensors 2017, 17, 230. https://doi.org/10.3390/s17020230
Li W, Zhang Y, Lin J, Guo R, Chen Z. Wideband Direction of Arrival Estimation in the Presence of Unknown Mutual Coupling. Sensors. 2017; 17(2):230. https://doi.org/10.3390/s17020230
Chicago/Turabian StyleLi, Weixing, Yue Zhang, Jianzhi Lin, Rui Guo, and Zengping Chen. 2017. "Wideband Direction of Arrival Estimation in the Presence of Unknown Mutual Coupling" Sensors 17, no. 2: 230. https://doi.org/10.3390/s17020230