Convergence Rate of a Gram-Schmidt Canceller. Revision
NAVAL RESEARCH LAB WASHINGTON DC
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The open-loop Gram-Schmidt GS canceller is shown to be numerically identical with the Sampled Matrix Inversion SMI algorithm in the transient state if infinite numerical accuracy is assumed. Three forms of the GS canceller are discussed and analyzed-concurrent, non-concurrent, and sliding window processing. Convergence results for concurrent and non-concurrent SMI cancellers have been obtained in the past by Reed, Mallet, and Brennan under the assumption that the inputs are Gaussian. In this report many of those results are reproduced by using the GS structures as analysis tool. In addition, new results are obtained for when the input noises are not Gaussian. Furthermore, it is shown that the sliding window GS canceller has the same convergence properties as the concurrent GS canceller. The deleterious effect of over matching the degrees of freedom is discussed. Keywords Electronic counter countermeasures, Adaptive filter, Radar, Adaptive cancellation.
- Radar Countermeasures