Abstract
Kelly's generalized likelihood ratio test (GLRT) statistic is reexamined under a broad class of data distributions known as complex multivariate elliptically contoured (MEC), which include the complex Gaussian as a special case. We show that, mathematically, Kelly's GLRT test statistic is again obtained when the data matrix is assumed MEC distributed. The maximum-likelihood (ML) estimate for the signal parameters - alias the sample-covariance-based (SCB) minimum variance distortionless response beamformer output and, in general, the SCB linearly constrained minimum variance beamformer output - is likewise shown to be the same. These results have significant robustness implications to adaptive detection/estimation/beamforming in non-Gaussian environments.
Original language | English (US) |
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Pages (from-to) | 251-252 |
Number of pages | 2 |
Journal | IEEE Signal Processing Letters |
Volume | 3 |
Issue number | 8 |
DOIs | |
State | Published - 1996 |
Externally published | Yes |
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering
- Applied Mathematics