Title :
On the rate distortion functions of spherically invariant vectors and sequences
Author :
Leung, Hoi M. ; Cambanis, Stamatis
fDate :
5/1/1978 12:00:00 AM
Abstract :
The Shannon lower bound on the rate distortion function of spherically invariant random vectors and sequences is found, and a condition for its tightness is given. Under this condition, simple upper bounds which are valid over a certain range of distortions are given. Also included is a coding theorem for certain stationary discrete-time spherically invariant sources.
Keywords :
Rate-distortion theory; Channel capacity; Codes; Covariance matrix; Gaussian distribution; Probability density function; Random processes; Rate-distortion; Source coding; Statistics; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1978.1055882