Adaptive lattice bilinear filters

Heung Ki Baik; V. John Mathews; Robert T. Short

doi:10.1117/12.23467

1 November 1990 Adaptive lattice bilinear filters

Heung Ki Baik, V. John Mathews, Robert T. Short

Proceedings Volume 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations; (1990) https://doi.org/10.1117/12.23467
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

This paper presents two fast least-squares lattice algorithms for adaptive nonlinear filters equipped with bilinear system models. Bilinear models are attractive for adaptive filtering applications because they can approximate a large class of nonlinear systems adequately and usually with considerable parsimony in the number of coefficients required. The lattice filter formulation transforms the nonlinear filtering problem into an equivalent multichannel linear filtering problem and then uses multichannel lattice filtering algorithms to solve the nonlinear filtering problem. The first of the two approaches is an equation-error algorithm that uses the measured desired response signal directly to compute the adaptive filter outputs. This method is conceptually very simple however it will result in biased system models in the presence of measurement noise. The second approach is an approximate least-squares output-error solution. In this case the past samples of the output of the adaptive system itself are used to produce the filter output at the current time. This approach is expected to reduce the effect of measurement noise on the behavior of the system. Results of several experiments that demonstrate and compare the properties of the adaptive bilinear filters are also presented in the paper.

Citation Download Citation

Heung Ki Baik, V. John Mathews, and Robert T. Short "Adaptive lattice bilinear filters", Proc. SPIE 1348, Advanced Signal Processing Algorithms, Architectures, and Implementations, (1 November 1990); https://doi.org/10.1117/12.23467

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