Decorrelation of broadband signals by Toeplitz-Block-Toeplitz structuring
Abstract
We propose F-norm of the cross-correlation part of the array covariance matrix as a measure of correlation between the impinging signals and study the performance of different decorrelation methods in the broadband case using this measure. We first show that dimensionality of the composite signal subspace, defined as the number of significant eigenvectors of the source sample covariance matrix, collapses in the presence of multipath and the spatial smoothing recovers this dimensionality. Using an upper bound on the proposed measure, we then study the decorrelation of the broadband signals with spatial smoothing and the effect of spacing and directions of the sources on the rate of decorrelation with progressive smoothing. Next, we introduce a weighted smoothing method based on Toeplitz-block-Toeplitz (TBT) structuring of the data covariance matrix which decorrelates the signals much faster than the spatial smoothing. Computer simulations are included to demonstrate the performance of the two methods.
- Publication:
-
IEEE Transactions on Aerospace Electronic Systems
- Pub Date:
- July 1994
- DOI:
- 10.1109/7.303739
- Bibcode:
- 1994ITAES..30..685I
- Keywords:
-
- Covariance;
- Cross Correlation;
- Data Smoothing;
- Multipath Transmission;
- Signal Detection;
- Signal Processing;
- Broadband;
- Computerized Simulation;
- Eigenvectors;
- Communications and Radar