Journal ArticleDOI
Indirect rate distortion problems
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TLDR
The Dobrushin-Tsybakov reduction of this problem to a direct one is shown to follow at once from a "disconnection principle" for conditional expectations.Abstract:
The output of a source, the first of the two arguments of a distortion function, is seen by an encoder through a noisy channel. A decoder sees the encoder's signal through the usual communication channel. The second argument of the distortion function is obtained from the decoder's output via another noisy channel. The Dobrushin-Tsybakov reduction of this problem to a direct one is shown to follow at once from a "disconnection principle" for conditional expectations. The same principle applies to more general situations such as i) dependence between the noise variables acting in the input and output channels and ii) side information available only at the decoder.read more
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Filtering of colored noise for speech enhancement and coding
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References
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Journal ArticleDOI
The rate-distortion function for source coding with side information at the decoder
A.D. Wyner,Jacob Ziv +1 more
TL;DR: The quantity R \ast (d) is determined, defined as the infimum ofrates R such that communication is possible in the above setting at an average distortion level not exceeding d + \varepsilon .
Journal ArticleDOI
Transmission of noisy information to a noisy receiver with minimum distortion
Jack K. Wolf,Jacob Ziv +1 more
TL;DR: The criterion for optimality is that the normalized average of the squared norm of the difference between the T - second undistorted source sample and the corresponding T -second sample delivered to the final destination be minimum.
Journal ArticleDOI
On policy independence of conditional expectations
TL;DR: The case of general information structures is considered and the assertion is justified for countable decision spaces and arbitrary probability spaces and also, in a weaker sense, for probabilities of countable support and arbitrary decision spaces.