مرکز منطقه ای اطلاع رساني علوم و فناوري

Abstract :

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.

Keywords :

Rate-distortion theory; Channel capacity; Computer errors; Distortion measurement; Frequency measurement; Power measurement; Random processes; Rate-distortion; Research and development; Transfer functions; Weight measurement;