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On the rate-distortion function of random vectors and stationary sources with mixed distributions

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3 Author(s)
Gyorgy, A. ; Fac. of Electr. Eng. & Inf., Tech. Univ. Budapest, Hungary ; Linder, T. ; Zeger, K.

The asymptotic (small distortion) behavior of the rate-distortion function of an n-dimensional source vector with mixed distribution is derived. The source distribution is a finite mixture of components such that under each component distribution a certain subset of the coordinates have a discrete distribution while the remaining coordinates have a joint density. The expected number of coordinates with a joint density is shown to equal the rate-distortion dimension of the source vector. Also, the exact small distortion asymptotic behavior of the rate-distortion function of a special but interesting class of stationary information sources is determined

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 6 )

Date of Publication:

Sep 1999

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