MVDR Beamforming Algorithm

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Resource Overview

MVDR beamforming algorithm implementation with wavenumber-domain approach, including both conventional and diagonal loading methods. Reference implementation for beamforming applications featuring covariance matrix estimation and steering vector computation techniques.

Detailed Documentation

This article introduces the MVDR (Minimum Variance Distortionless Response) beamforming algorithm and its implementation in the wavenumber domain. The implementation includes both the conventional approach and the diagonal loading method, serving as reference code for beamforming studies. Key algorithmic components involve covariance matrix estimation from array data, steering vector calculation for target directions, and solving the constrained optimization problem through Lagrange multipliers. The diagonal loading technique enhances numerical stability by adding a small constant to the covariance matrix diagonal elements, preventing ill-conditioning issues. Through studying these implementations, you will gain deeper understanding of MVDR beamforming principles and be able to apply them to practical problems involving array signal processing and spatial filtering applications.

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