By Topic

The rate of a class of random processes

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

1 Author(s)

In certain situations, a single transmission system must be designed to function satisfactorily when used for any source from a class a of sources. In this situation, the rate-distortion function R_a (d) is the minimum capacity required by any transmission system that can transmit each source from a with average distortion \leq d . One of the most interesting classes of sources is a class of random processes. Here we consider a weighted-square error-distortion measure and the class of all stationary random processes that satisfy a certain strong mixing property, that have zero mean, known power, and a bounded fourth moment, and that satisfy one of the following alternative specifications on the spectrum: 1) the spectrum is known exactly; 2) the amount of power within the band 0 \leq f \leq f_k is known for N -- 1 frequencies f_1 \le f_2 \le \cdots \le f_{N-1} ; or 3) the fraction of power outside some frequency f_l is \leq 1 -- \gamma . For the class of sources determined by each of the above three cases and for an arbitrary error-weighting function we evaluate the rate-distortion function.

Published in:

Information Theory, IEEE Transactions on  (Volume:16 ,  Issue: 1 )