publication . Preprint . 2014

The Impact of Phase Fading on the Dirty Paper Channel

Rini, Stefano; Shamai, Shlomo;
Open Access English
  • Published: 16 Jan 2014
The impact of phase fading on the classical Costa dirty paper coding channel is studied. We consider a variation of this channel model in which the amplitude of the interference sequence is known at the transmitter while its phase is known at the receiver. Although the capacity of this channel has already been established, it is expressed using an auxiliary random variable and as the solution of a maximization problem. To circumvent the difficulty evaluating capacity, we derive alternative inner and outer bounds and show that the two expressions are to within a finite distance. This provide an approximate characterization of the capacity which depends only on th...
arXiv: Computer Science::Information Theory
free text keywords: Computer Science - Information Theory
Funded by
NSF| Emerging Frontiers of Science of Information
  • Funder: National Science Foundation (NSF)
  • Project Code: 0939370
  • Funding stream: Directorate for Computer & Information Science & Engineering | Division of Computing and Communication Foundations
Download from

[1] S. Gel'fand and M. Pinsker, “Coding for channel with random parameters,” Problems of control and information theory, vol. 9, no. 1, pp. 19-31, 1980.

[2] T. M. Cover and M. Chiang, “Duality between channel capacity and rate distortion with two-sided state information,” IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1629-1638, 2002.

[3] M. Costa, “Writing on dirty paper,” IEEE Trans. Inf. Theory, vol. 29, no. 3, pp. 439-441, 1983.

[4] P. Grover and A. Sahai, “On the need for knowledge of the phase in exploiting known primary transmissions,” in IEEE International Symposium on the New Frontiers in Dynamic Spectrum Access Networks (DySPAN), 2007, pp. 462-471.

[5] --, “Writing on rayleigh faded dirt: a computable upper bound to the outage capacity,” in Proc. IEEE International Symposium on Information Theory (ISIT), Nice, France, 2007, pp. 2166-2170.

[6] Y. Avner, B. M. Zaidel, S. Shamai, and U. Erez, “On the dirty paper channel with fading dirt,” in Proceedings of the 26th Convention of IEEE Israel (IEEEI), Eilat, Israel, Nov. 17-20, 2010, pp. 525-529. [OpenAIRE]

[7] D. T. Kao and A. Sabharwal, “An upper bound on the capacity of vector dirty paper with unknown spin and stretch,” arXiv:1305.3934, 2013. [OpenAIRE]

[8] S. Rini and S. Shamai, “The impact of phase fading on the dirty paper channel,” arXiv: UPDATE, 2014. [OpenAIRE]

[9] A. Bennatan and D. Burshtein, “On the fading-paper achievable region of the fading mimo broadcast channel,” IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 100-115, 2008.

[10] A. Khisti, U. Erez, A. Lapidoth, and G. W. Wornell, “Carbon copying onto dirty paper,” IEEE Trans. Inf. Theory, vol. 53, no. 5, pp. 1814-1827, 2007.


Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue