In this paper the aim is to investigate the relation between the rate R and the minimum achievable distor- tion when the distortion is not necessarily ...
Abstract: For every individual infinite sequence u we define a distortion-rate function d(R|u) which is shown to be an asymptotically attainable lower bound ...
ISSN Information: Print ISSN: 0018-9448 Electronic ISSN: 1557-9654
Already [19] formulated a notion of a distortion-rate function for individual infinite sequences, shown to be a lower bound on the distortion that can be ...
Abstract. We develop rate-distortion theory for individual data with respect to general distor- tion measures, that is, a theory of lossy compression of ...
Rate–distortion theory gives an analytical expression for how much compression can be achieved using lossy compression methods. Many of the existing audio, ...
Missing: individual | Must include:individual
This treatment of entire sequences at once achieves a lower distortion for the same rate than independent quantization of the individual samples. 13.2 ...
For Hamming distortion, we ob- tain a universal lower bound on the finite-state rate- distortion of any individual sequence. I. Introduction. How compressible ...
Apr 24, 2018 · for sequences of i.i.d. random variables with general distribu- ... a lower bound on the (single-letter) rate-distortion function that.
An interesting result of rate distortion theory shows that if you try to represent n i.i.d. ... a sequence with a single index taking on 2nR values.
More specifically, I want to understand why the rate-distortion function is defined such that the mutual information between a source sequence ...