A Full Loading-Based MVDR Beamforming Method by Backward Correction of the Steering Vector and Reconstruction of the Covariance Matrix
Abstract
:1. Introduction
2. Conventional Diagonal Loading Methods
3. The Proposed Method
3.1. Framework of the Proposed Method
3.2. The Improved GLC Method
3.2.1. Full Loading of the Covariance Matrix
3.2.2. Solution of the Non-Negative Shrinkage Parameters
3.3. Backward Correction of the Steering Vector of the Target Source
3.4. Reconstruction of the Covariance Matrix
3.5. MVDR Beamforming
3.6. DOA Deduction through the Spatial Response Power and Iteration
- Step 1: Calculate the CMOS RXX through Equation (3);
- Step 2: Calculate the loaded covariance matrix RIGLC through Equation (10);
- Step 3: Correct the steering vector of the target source through Equation (15) and normalize it;
- Step 4: Reconstruct the covariance matrix Rrec through Equation (16), and normalize it;
- Step 5: Calculate the weighting vector wproposed through Equation (20);
- Step 6: Calculate the spatial response power ψ(ϑ) through Equation (21) and derive a new DOA of the target source;
- Step 7: Update the DOA of the target source and return to Step 2 to repeat the procedures from Step 2 to Step 6 until the derived DOA of the target source is converged.
4. Simulations and Analysis
4.1. Simulation Setup
4.2. Comparison of Spectrograms
4.3. Comparison of Beampatterns
4.4. Comparison of Evaluation Measures
4.5. Verification of the DOA Deduction through the Spatial Response Power
4.6. Performance Analysis of the Optimization Modules
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Methods | Diagonal Loading | Methods | Diagonal Loading |
---|---|---|---|
HKB | LNR | ||
SMF | BPR | ||
GLC | NRP-TMMSE |
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Zhou, J.; Bao, C. A Full Loading-Based MVDR Beamforming Method by Backward Correction of the Steering Vector and Reconstruction of the Covariance Matrix. Appl. Sci. 2023, 13, 285. https://doi.org/10.3390/app13010285
Zhou J, Bao C. A Full Loading-Based MVDR Beamforming Method by Backward Correction of the Steering Vector and Reconstruction of the Covariance Matrix. Applied Sciences. 2023; 13(1):285. https://doi.org/10.3390/app13010285
Chicago/Turabian StyleZhou, Jing, and Changchun Bao. 2023. "A Full Loading-Based MVDR Beamforming Method by Backward Correction of the Steering Vector and Reconstruction of the Covariance Matrix" Applied Sciences 13, no. 1: 285. https://doi.org/10.3390/app13010285
APA StyleZhou, J., & Bao, C. (2023). A Full Loading-Based MVDR Beamforming Method by Backward Correction of the Steering Vector and Reconstruction of the Covariance Matrix. Applied Sciences, 13(1), 285. https://doi.org/10.3390/app13010285