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2. A method for finding unknown signals using reinforcement FFT differencing

Author

Tolle, Charles R. and James, John W.

Subjects
Fourier transform spectroscopy -- Usage, Science and technology, Analysis, Usage, Methods
Abstract

ABSTRACT This note addresses a simple yet powerful method of discovering the spectral character of an unknown but intermittent signal buried in a background made up of a distribution of [...]

Published
2009

4. Nonlinear Differential Equation Reconstruction and Taken’s Embedding Theorem

Author

Warnick, Keith H., Tolle, Charles R., and James, John W.

Subjects
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Abstract

The considerable usefulness of differential equations in modeling physical system dynamics is limited by the ability to generate equations which accurately reproduce observed behavior. Especially in the case of nonlinear systems, finding such a set of differential equations can be a nontrivial problem. However, there are numerical methods for generating differential equations to model empirical data. This paper briefly outlines the trajectory method of Perona et al. for fitting a system of differential equations to time series data. The basis of the system of equations needed to optimize the model are given. Creation of an algorithm to implement the method is discussed. The ability of the algorithm to reconstruct nonlinear systems with chaotic behavior is demonstrated. This method has great flexibility, allowing for direct application to the analysis of many systems without requiring prior knowledge of the underlying mechanisms.

Published
2008

8. Idaho Forest Insect and Disease Conditions and Program Summary 1993

Author

David P. Beckman, Robert L. Mathiasen, Sandra J. Kegley, K. Andrew Knapp, R. Ladd Livingston, James T. Hoffman, Julie C. Weatherby, Robert L. James, John W. Schwandt, Ralph E. Williams and David P. Beckman, Robert L. Mathiasen, Sandra J. Kegley, K. Andrew Knapp, R. Ladd Livingston, James T. Hoffman, Julie C. Weatherby, Robert L. James, John W. Schwandt, Ralph E. Williams

Published
1994

9. A METHOD FOR FINDING UNKNOWN SIGNALS USING REINFORCEMENT FFT DIFFERENCING.

Author

Tolte, Charles R. and James, John W.

Subjects
*SIGNALS & signaling, *FOURIER transform spectroscopy, *MASS spectrometry, *GAS chromatography, *SPECTRUM analysis, *ELECTRIC lines
Abstract

This note addresses a simple yet powerful method of discovering the spectral character of an unknown but intermittent signal buried in a background made up of a distribution of other signals. Knowledge of when the unknown signal is present and when it is not, along with samples of the combined signals for each case is all that is necessary for this method. The method is based on reinforcing Fast Fourier Transform[1] (FFT) power spectra when the signal of interest occurs and subtracting spectra when it does not. Several examples are presented. This method could be used to discover spectral components of unknown chemical species within spectral analysis instruments such as Mass Spectroscopy, Fourier Transform Infrared spectroscopy (FTIR) and Gas Chromatography. In addition, this method can be used to isolate device loading signatures on power transmission lines. The examples shown within this paper are based on deterministic sinusoidal composite signals. [ABSTRACT FROM AUTHOR]

Published
2009

14. Banking : a dynamic business

Author

James, John W.

Subjects
Banking : a Dynamic Business (Book) -- Book reviews, Books, Banking, finance and accounting industries, Business
Published
1982

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