27 August 1993 Wavelet transform of fractional Brownian motion for infrared focal plane arrays
Author Affiliations +
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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gary A. Hewer, Wei Kuo, "Wavelet transform of fractional Brownian motion for infrared focal plane arrays", Proc. SPIE 1961, Visual Information Processing II, (27 August 1993); doi: 10.1117/12.150974; https://doi.org/10.1117/12.150974
PROCEEDINGS
11 PAGES


SHARE
KEYWORDS
Wavelets

Wavelet transforms

Stochastic processes

Staring arrays

Visual information processing

Cameras

Statistical analysis

Back to Top