State-dependent nonlinear adaptive lattice filters

Hassan M. Ahmed; Muzaffar U. Khurram

doi:10.1117/12.160446

1 November 1993 State-dependent nonlinear adaptive lattice filters

Hassan M. Ahmed, Muzaffar U. Khurram

Proceedings Volume 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV; (1993) https://doi.org/10.1117/12.160446
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

We introduce a new tool called state dependent embedding for developing nonlinear adaptive filters. We use the embedding to develop a new quadratic lattice whitener with only scalar coefficients. The whitener is shown to be a linear lattice with a modified update equation. We demonstrate that scalar state dependent coefficients can be directly updated in this application, thus providing a very efficient nonlinear lattice structure. We describe lattice joint process estimator structures. For Gaussian inputs, we note that only some kernels of the series expansion describing the nonlinearity contribute to input eigenvalue spread. We suggest a reduced complexity escalator structure that exploits this finding. Finally we provide a simplification to the layered structure presented.

Citation Download Citation

Hassan M. Ahmed and Muzaffar U. Khurram "State-dependent nonlinear adaptive lattice filters", Proc. SPIE 2027, Advanced Signal Processing Algorithms, Architectures, and Implementations IV, (1 November 1993); https://doi.org/10.1117/12.160446

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