مرکز منطقه ای اطلاع رساني علوم و فناوري

DocumentCode :

944697

Title :

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.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=944697