Concept

Wiener deconvolution

Summary
In mathematics, Wiener deconvolution is an application of the Wiener filter to the noise problems inherent in deconvolution. It works in the frequency domain, attempting to minimize the impact of deconvolved noise at frequencies which have a poor signal-to-noise ratio. The Wiener deconvolution method has widespread use in deconvolution applications, as the frequency spectrum of most visual images is fairly well behaved and may be estimated easily. Wiener deconvolution is named after Norbert Wiener. Definition Given a system: :\ y(t) = (h*x)(t) + n(t) where * denotes convolution and: *\ x(t) is some original signal (unknown) at time \ t . *\ h(t) is the known impulse response of a linear time-invariant system *\ n(t) is some unknown additive noise, independent of \ x(t) *\ y(t) is our observed signal Our goal is to find some \ g(t) so that we can esti
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