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Proceedings Paper

Wavelet transform of fractional Brownian motion for infrared focal plane arrays
Author(s): Gary A. Hewer; Wei Kuo
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Paper Abstract

In this paper a review of some significant recent theoretical connections between fractional Brownian motion, wavelets, and a low-frequency spectrum 1/f-type noise of the form (omega) -(alpha ) 1 <EQ (alpha) <EQ 2 is presented. Fractional Brownian motion is a parsimonious model (it depends on two parameters) that links the covariance of the sample path of a random signal with its power spectrum. The wavelet transform of fractional Brownian motion has a correlation function and spectral distribution that is known. The applicability of the theory is illustrated using data from an Amber focal plane array by showing that the wavelet transform can decorrelate a 1/f-type fixed pattern noise spectrum in a predictable fashion.

Paper Details

Date Published: 27 August 1993
PDF: 11 pages
Proc. SPIE 1961, Visual Information Processing II, (27 August 1993); doi: 10.1117/12.150974
Show Author Affiliations
Gary A. Hewer, Naval Air Warfare Ctr. (United States)
Wei Kuo, Naval Air Warfare Ctr. (United States)

Published in SPIE Proceedings Vol. 1961:
Visual Information Processing II
Friedrich O. Huck; Richard D. Juday, Editor(s)

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