Abstract
The generalized eigenvector problem (GEP) for Hermitian Toeplitz matrices is studied and some properties related to its eigenvectors and the associated eigenfilters are derived. Zero locations of the eigenfilters are also investigated and all of the results are applied to the maximum SINR (signal-to-interference-plus-noise ratio) beamforming problem based on ULAs (uniform linear arrays), since maximizing output SINR can be formulated as a generalized eigenvector problem where the matrix pair consisting of the desired signal correlation matrix and interference plus noise correlation matrix. Theoretical analysis based on a three-element ULA is provided, supported by simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 374-380 |
| Number of pages | 7 |
| Journal | Signal Processing |
| Volume | 92 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 2012 |
Keywords
- Beamforming
- Centrohermitian matrix
- Generalized eigenvector problem
- Hermitian Toeplitz matrix
- Uniform linear array
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Signal Processing
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering