Rate-distortion dimension of stochastic processes

@article{Rezagah2016RatedistortionDO,
  title={Rate-distortion dimension of stochastic processes},
  author={Farideh Ebrahim Rezagah and Shirin Jalali and Elza Erkip and H. Vincent Poor},
  journal={2016 IEEE International Symposium on Information Theory (ISIT)},
  year={2016},
  pages={2079-2083}
}
The rate-distortion dimension (RDD) of an analog stationary process is studied as a measure of complexity that captures the amount of information contained in the process. It is shown that the RDD of a process, defined as two times the asymptotic ratio of its rate-distortion function R(D) to log 1/D as the distortion D approaches zero, is equal to its information dimension (ID). This generalizes an earlier result by Kawabata and Dembo and provides an operational approach to evaluate the ID of a… CONTINUE READING
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