Adaptive detection using low rank approximation to a data matrix
- 1 January 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Aerospace and Electronic Systems
- Vol. 30 (1) , 55-67
- https://doi.org/10.1109/7.250406
Abstract
Using an accurate formula for the error in approximating a low rank component, we calculate the performance of adaptive detection based on reduced-rank nulling. In this principal component inverse (PCI) method, one temporarily regards the interference as a strong signal to be enhanced. The resulting estimate of the interference waveform is subtracted from the observed data, and matched filtering is used to detect signal components in the residual waveform. We also present a generalized likelihood-ratio test (GLRT) for adaptively detecting a low rank signal in the presence of low rank interference. This approach leads to a test which is closely related to the PCI method and extends the PCI method to the case where strong signal components are present in the data. A major accomplishment of the work is our calculation of the statistics of the output of the matched filter for the case in which interference cancellation and signal detection are carried out on the same observed data matrix. That is, no separate data is used for adaptation. Examples are presented using both simulated data and real, active-sonar reverberation data from the ARSRP, the Acoustic Reverberation Special Research Program of the Office of Naval Research.Keywords
This publication has 22 references indexed in Scilit:
- The threshold analysis of SVD-based algorithmsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Estimation of the signal component of a data vectorPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1992
- Analysis of Min-Norm and MUSIC with arbitrary array geometryIEEE Transactions on Aerospace and Electronic Systems, 1990
- An Introduction to Signal Detection and EstimationPublished by Springer Nature ,1988
- An Adaptive Detection AlgorithmIEEE Transactions on Aerospace and Electronic Systems, 1986
- Data adaptive signal estimation by singular value decomposition of a data matrixProceedings of the IEEE, 1982
- Adaptive arraysIEEE Transactions on Antennas and Propagation, 1976
- Rapid Convergence Rate in Adaptive ArraysIEEE Transactions on Aerospace and Electronic Systems, 1974
- Theory of Adaptive RadarIEEE Transactions on Aerospace and Electronic Systems, 1973
- The approximation of one matrix by another of lower rankPsychometrika, 1936