Bandlimited computerized improvements in characterization of nonlinear systems with memory

Albert H. Nuttall; Richard A. Katz; Derke R. Hughes; Robert M. Koch

doi:10.1117/12.2230601

12 May 2016 Bandlimited computerized improvements in characterization of nonlinear systems with memory

Albert H. Nuttall, Richard A. Katz, Derke R. Hughes, Robert M. Koch

Proceedings Volume 9825, Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security, Defense, and Law Enforcement Applications XV; 98250Z (2016) https://doi.org/10.1117/12.2230601
Event: SPIE Defense + Security, 2016, Baltimore, MD, United States

Abstract

The present article discusses some inroads in nonlinear signal processing made by the prime algorithm developer, Dr. Albert H. Nuttall and co-authors, a consortium of research scientists from the Naval Undersea Warfare Center Division, Newport, RI. The algorithm, called the Nuttall-Wiener-Volterra 'NWV' algorithm is named for its principal contributors ^{[1], [2],[ 3]} over many years of developmental research. The NWV algorithm significantly reduces the computational workload for characterizing nonlinear systems with memory. Following this formulation, two measurement waveforms on the system are required in order to characterize a specified nonlinear system under consideration: (1) an excitation input waveform, x(t) (the transmitted signal); and, (2) a response output waveform, z(t) (the received signal). Given these two measurement waveforms for a given propagation channel, a 'kernel' or 'channel response', h= [h₀,h₁,h₂,h₃] between the two measurement points, is computed via a least squares approach that optimizes modeled kernel values by performing a best fit between measured response z(t) and a modeled response y(t). New techniques significantly diminish the exponential growth of the number of computed kernel coefficients at second and third order in order to combat and reasonably alleviate the curse of dimensionality.

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Albert H. Nuttall, Richard A. Katz, Derke R. Hughes, and Robert M. Koch "Bandlimited computerized improvements in characterization of nonlinear systems with memory", Proc. SPIE 9825, Sensors, and Command, Control, Communications, and Intelligence (C3I) Technologies for Homeland Security, Defense, and Law Enforcement Applications XV, 98250Z (12 May 2016); https://doi.org/10.1117/12.2230601

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KEYWORDS

Complex systems

Algorithm development

Signal processing

Condition numbers

Convolution

Acoustics

Data modeling

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