Mutual information of the white Gaussian channel with and without feedback

@article{Kadota1971MutualIO,
  title={Mutual information of the white Gaussian channel with and without feedback},
  author={T. T. Kadota and Moshe Zakai and Jacob Ziv},
  journal={IEEE Trans. Information Theory},
  year={1971},
  volume={17},
  pages={368-371}
}
The following model for the white Gaussian channel with or without feedback is considered: Y(t) = s t d(~,Y,,~,d ds + w(r) 0 where m denotes the message, Y(t) denotes the channel output at t ime t, Y,,’ denotes the sample path Y(8), 0 5 0 5 t. W(t) is the Brownian motion representing noise, and d(s,r,“,m) is the channel input (modulator output). It is shown that, under some general assumptions, the amount of mutual information Z(Y,‘,m) between the message m and the output path Y,, T is directly… CONTINUE READING
Highly Influential
This paper has highly influenced 11 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 99 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 55 extracted citations

Pointwise Relations Between Information and Estimation in Gaussian Noise

IEEE Transactions on Information Theory • 2012
View 4 Excerpts
Highly Influenced

Directed Information, Causal Estimation, and Communication in Continuous Time

IEEE Transactions on Information Theory • 2009
View 7 Excerpts
Highly Influenced

Mutual information and minimum mean-square error in Gaussian channels

IEEE Transactions on Information Theory • 2005
View 7 Excerpts
Highly Influenced

Mutual information, relative entropy and estimation error in semi-martingale channels

2016 IEEE International Symposium on Information Theory (ISIT) • 2016
View 3 Excerpts
Highly Influenced

Robust Stabilization Over Communication Channels in the Presence of Unstructured Uncertainty

IEEE Transactions on Automatic Control • 2006
View 5 Excerpts
Highly Influenced

100 Citations

0510'74'84'95'06'17
Citations per Year
Semantic Scholar estimates that this publication has 100 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-6 of 6 references

Conditions for the absolute continuity between a certain pair of probability measures

M. Zakai
1970

Absolute continuity and RadonNikodym derivatives for certain measures relative to Wiener measure

M. Zakai
1964

On the oscillation of stochastic integrals

L. A. Shepp
Probability Theory • 1960

Calculation of the amount of information about a random function contained in another such function

A. M. Yaglom
1959

Similar Papers

Loading similar papers…