On the rate distortion functions of spherically invariant vectors and sequences
- 1 May 1978
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 24 (3) , 367-373
- https://doi.org/10.1109/tit.1978.1055882
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
This publication has 8 references indexed in Scilit:
- Source coding theorems without the ergodic assumptionIEEE Transactions on Information Theory, 1974
- On theepsilon-entropy and the rate-distortion function of certain non-Gaussian processesIEEE Transactions on Information Theory, 1974
- Bounds on the rate-distortion function for stationary sources with memoryIEEE Transactions on Information Theory, 1971
- Information rates of autoregressive processesIEEE Transactions on Information Theory, 1970
- Information rates of Wiener processesIEEE Transactions on Information Theory, 1970
- Information rates of non-Gaussian processesIEEE Transactions on Information Theory, 1964
- Some Characteristic Properties of Gaussian Stochastic ProcessesTheory of Probability and Its Applications, 1964
- Toeplitz Forms and Their ApplicationsPhysics Today, 1958