Construction of Focusing Matrix for Spatial Resampling in Coherent Signal Subspace Method

In MVDR broadband coherent source DOA estimation, the implementation of constructing the focusing matrix for spatial resampling in the coherent signal subspace method requires the following key steps: 1. Signal preprocessing, including noise removal and interference signal elimination, typically implemented using band-pass filtering or adaptive noise cancellation algorithms. 2. Spectral estimation on the preprocessed signals to obtain required spatial spectrum information, commonly achieved through periodogram methods or Capon's minimum variance spectrum estimator. 3. Construction of coherent signal subspace using spatial spectrum information to extract directional characteristics of target signals, involving covariance matrix computation and eigenvalue decomposition. 4. Spatial resampling after obtaining directional information to further enhance estimation accuracy, implemented through focus transformation matrices that align signal subspaces across different frequency bins. 5. Final DOA estimation of coherent sources based on the focusing matrix construction procedure, typically using peak detection algorithms on the spatial spectrum output. By executing these steps with proper implementation of matrix operations and subspace tracking algorithms, the system can achieve more accurate DOA estimation of coherent sources, significantly improving overall system performance through enhanced spatial resolution and interference rejection capabilities.