On a property of Wiener filters

Author

Zakai, Moshe

Volume

Issue

fYear

1959

fDate

3/1/1959 12:00:00 AM

Firstpage

Lastpage

Abstract

Let $Y(\\omega ,\\alpha )$ be the Wiener filter designed to yield an output which is the least-square approximation to $s(t + \\alpha )$ where $s(t)$ is the desired signal input. Let $Y_L(\\omega )$ be the Wiener filter designed to yield an output which is the least-square approximation to some linear operation $L$ on the desired input signal. The following simple relationship has been shown to hold between $Y(\\omega , \\alpha )$ and $Y_L(\\omega )$ . If $s(t)$ is the desired input signal and $L_{\\alpha }[s(t + \\alpha )$ is the desired output, where $L_{\\alpha }$ is some linear operation with respect to $\\alpha$ , then $Y_L(\\omega ) = L_{\\alpha }[Y(\\omega , \\alpha )]$ .

Keywords

Wiener filtering; Amplitude modulation; Costs; Decoding; Linearity; Modulation coding; Nonlinear filters; Pulse modulation; Signal design; Signal processing; Transfer functions; Wiener filter;

fLanguage

English

Journal_Title

Information Theory, IRE Transactions on

Publisher

ieee

ISSN

0096-1000

Type

jour

DOI

10.1109/TIT.1959.1057481

Filename

1057481

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=944697