Noise statistics of ratiometric signal processing systems

Donald J. Svetkoff; Thomas G. Xydis; Donald B.T. Kilgus

doi:10.1117/12.25354

1 March 1991 Noise statistics of ratiometric signal processing systems

Donald J. Svetkoff, Thomas G. Xydis, Donald B.T. Kilgus

Proceedings Volume 1385, Optics, Illumination, and Image Sensing for Machine Vision V; (1991) https://doi.org/10.1117/12.25354
Event: Advances in Intelligent Robotics Systems, 1990, Boston, MA, United States

Abstract

Signal processing systems used for color measurement laser range finding or background subtraction often compute the value of a parameter of interest by division of signals obtained from multiple sensor channels. Although the noise statistics of a single channel may often be accurately modeled as a linear transformation of a Gaussian random process the computation of a ratio constitutes a nonlinear estimation problem which may be particularly difficult to analyze in closed form. This paper demonstrates the use of a computational based model for estimating the output distribution and statistics of a ratiometric processing system. Examples will show the error performance of the signal processor with decreasing input signal to noise ratio the overall result being a bias in the estimate in addition to the expected increase in the sample variance. Extension of the analysis approach to other nonlinear systems will also be discussed.

Citation Download Citation

Donald J. Svetkoff, Thomas G. Xydis, and Donald B.T. Kilgus "Noise statistics of ratiometric signal processing systems", Proc. SPIE 1385, Optics, Illumination, and Image Sensing for Machine Vision V, (1 March 1991); https://doi.org/10.1117/12.25354

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