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- W2890151877 abstract "The main purpose of this note is to show that in a realization $(x_{1}^{n}, y_{1}^{n})$ of the causal textit{information rate-distortion function} (IRDF) for a $kappa$-th order Markovian source $x_{1}^{n}$, under a single letter sum distortion constraint, the smallest integer $ell$ for which $y_{k} leftrightarrow y_{1}^{k-1},x_{k-ell+1}^{k} leftrightarrow x_{1}^{k-ell}$ holds is $ell=kappa$. This result is derived under the assumption that the sequences $(x_{1}^{n},y_{1}^{n})$ have a joint probability density function." @default.
- W2890151877 created "2018-09-27" @default.
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- W2890151877 date "2018-09-16" @default.
- W2890151877 modified "2023-09-27" @default.
- W2890151877 title "The Structure of the Realizations of the Causal Information Rate-Distortion Function for Markovian Sources: Realizations with Densities" @default.
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