Cart (Loading....) | Create Account
Close category search window

Solution of an integral equation occurring in the theories of prediction and detection

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)

In many of the theories of prediction and detection developed during the past decade, one encounters linear integral equations which can be subsumed under the general formint_a^b R(t, tau) x(tau) dtau = f(t), a leqq t leqq b. This equation includes as special cases the Wiener-Hopf equation and the modified Wiener-Hopf equationint_0^T R(mid t - tau mid ) x(tau) dtau = f(t), 0 leqq t leqq T. The type of kernel considered in this note occurs when the noise can be regarded as the result of operating on white noise with a succession of not necessarily time-invariant linear differential and inverse-differential operators. For this type of noise, which is essentially a generalization of the stationary noise with a rational spectral density function, it is shown that the solution of the integral equation can be expressed in terms of solution of a certain linear differential equation with variable coefficients.

Published in:

Information Theory, IRE Transactions on  (Volume:2 ,  Issue: 2 )

Date of Publication:

June 1956

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.