Fault-tolerant FIR adaptive filter using the conjugate gradient algorithm

Bernard A. Schnaufer; W. Kenneth Jenkins

doi:10.1117/12.190883

28 October 1994 Fault-tolerant FIR adaptive filter using the conjugate gradient algorithm

Bernard A. Schnaufer, W. Kenneth Jenkins

Proceedings Volume 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V; (1994) https://doi.org/10.1117/12.190883
Event: SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, 1994, San Diego, CA, United States

Abstract

In several recent papers we have introduced the notion of Adaptive Fault Tolerance (AFT), where the adaptive process is used to automatically compensate for faults occurring in the adaptive coefficients. Several adaptive filtering structures have been proposed which use AFT to provide fault tolerance with very low hardware overhead, while maintaining reasonable convergence behavior for certain classes of input signals. The previous structures were adapted with the LMS algorithm which is known to have poor convergence properties when the input signal is highly colored. In this paper we propose using the Conjugate Gradient (CG) algorithm to update the filter coefficients. The CG algorithm, which allows rapid convergence of the fault tolerant adaptive filter regardless of the input noise statistics, is known not to suffer from the same performance drawbacks as the LMS algorithm. Simulations will be presented to demonstrate the performance of the CG algorithm and comparisons with previous work will be made. Implementation issues will also be discussed.

Citation Download Citation

Bernard A. Schnaufer and W. Kenneth Jenkins "Fault-tolerant FIR adaptive filter using the conjugate gradient algorithm", Proc. SPIE 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V, (28 October 1994); https://doi.org/10.1117/12.190883

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