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Published in: Telecommunication Systems 4/2023

06-10-2023

An extension of Cover–Chiang work on point to point channel to less noisy broadcast channel and analysis of the receivers cognition impacts

Authors: Saeid Pakravan, Ghosheh Abed Hodtani

Published in: Telecommunication Systems | Issue 4/2023

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Abstract

Information-theoretic analysis of the communication systems performances is of practical and theoretical importance. In this paper, (i) Specifically, we generalize the Cover–Chiang work on point to point channel with two-sided state information to two-receiver less noisy broadcast channel (2R-LN-BC) with different side information non-causally known at the encoder as well as the decoders, and obtain the capacity region including the previous works as its special cases. Then, (ii) the obtained result is expanded to the continuous alphabet Gaussian version. In this Gaussian version, the side information available at the receivers are supposed to be correlated on the channel noises and the impact of these receivers cognition of the noises on the capacity region is analyzed.

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Appendix
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Literature
1.
go back to reference Cover, T. (1972). Broadcast channels. IEEE Transactions on Information Theory, 18(1), 2–14.CrossRef Cover, T. (1972). Broadcast channels. IEEE Transactions on Information Theory, 18(1), 2–14.CrossRef
2.
go back to reference Marton, K. (1979). A coding theorem for the discrete memoryless broadcast channel. IEEE Transactions on Information Theory, 25(3), 306–311.CrossRef Marton, K. (1979). A coding theorem for the discrete memoryless broadcast channel. IEEE Transactions on Information Theory, 25(3), 306–311.CrossRef
3.
go back to reference Gamal, A. E. (1979). The capacity of a class of broadcast channels. IEEE Transactions on Information Theory, 25(2), 166–169.CrossRef Gamal, A. E. (1979). The capacity of a class of broadcast channels. IEEE Transactions on Information Theory, 25(2), 166–169.CrossRef
4.
go back to reference Bergmans, P. (1973). Random coding theorem for broadcast channels with degraded components. IEEE Transactions on Information Theory, 19(2), 197–207.CrossRef Bergmans, P. (1973). Random coding theorem for broadcast channels with degraded components. IEEE Transactions on Information Theory, 19(2), 197–207.CrossRef
5.
go back to reference Gallager, R. G. (1974). Capacity and coding for degraded broadcast channels. Problemy Peredachi Informatsii, 10(3), 3–14. Gallager, R. G. (1974). Capacity and coding for degraded broadcast channels. Problemy Peredachi Informatsii, 10(3), 3–14.
6.
go back to reference Ahlswede, R., & Körner, J. (1975). Source encoding with side information and a converse for degraded broadcast channels. IEEE Transactions on Information Theory, 21(6), 629–637.CrossRef Ahlswede, R., & Körner, J. (1975). Source encoding with side information and a converse for degraded broadcast channels. IEEE Transactions on Information Theory, 21(6), 629–637.CrossRef
7.
go back to reference Korner, J., & Marton, K. (1977). General broadcast channels with degraded message sets. IEEE Transactions on Information Theory, 23(1), 60–64.CrossRef Korner, J., & Marton, K. (1977). General broadcast channels with degraded message sets. IEEE Transactions on Information Theory, 23(1), 60–64.CrossRef
8.
go back to reference Csiszár, I., & Korner, J. (1978). Broadcast channels with confidential messages. IEEE Transactions on Information Theory, 24(3), 339–348.CrossRef Csiszár, I., & Korner, J. (1978). Broadcast channels with confidential messages. IEEE Transactions on Information Theory, 24(3), 339–348.CrossRef
9.
go back to reference Shannon, C. E. (1958). Channels with side information at the transmitter. IBM journal of Research and Development, 2(4), 289–293.CrossRef Shannon, C. E. (1958). Channels with side information at the transmitter. IBM journal of Research and Development, 2(4), 289–293.CrossRef
10.
go back to reference Gel’fand, S. I., & Pinsker, M. S. (1980). Coding for Channels with Random Parameters. Problems of Control and Information Theory, 9(1), 19–31. Gel’fand, S. I., & Pinsker, M. S. (1980). Coding for Channels with Random Parameters. Problems of Control and Information Theory, 9(1), 19–31.
11.
go back to reference Cover, T. M., & Chiang, M. (2002). Duality between channel capacity and rate distortion with two-sided state information. IEEE Transactions on Information Theory, 48(6), 1629–1638.CrossRef Cover, T. M., & Chiang, M. (2002). Duality between channel capacity and rate distortion with two-sided state information. IEEE Transactions on Information Theory, 48(6), 1629–1638.CrossRef
12.
go back to reference Costa, M. (1983). Writing on dirty paper (corresp.). IEEE Transactions on Information Theory, 29(3), 439–441.CrossRef Costa, M. (1983). Writing on dirty paper (corresp.). IEEE Transactions on Information Theory, 29(3), 439–441.CrossRef
13.
go back to reference Anzabi-Nezhad, N. S., Hodtani, G. A., & Kakhki, M. M. (2012). Information theoretic exemplification of the receiver re-cognition and a more general version for the costa theorem. IEEE Communications Letters, 17(1), 107–110.CrossRef Anzabi-Nezhad, N. S., Hodtani, G. A., & Kakhki, M. M. (2012). Information theoretic exemplification of the receiver re-cognition and a more general version for the costa theorem. IEEE Communications Letters, 17(1), 107–110.CrossRef
14.
go back to reference Anzabi-Nezhad, N. S., Hodtani, G. A. & Kakhki, M. M. (2015). A new and more general capacity theorem for the gaussian channel with two-sided input-noise dependent state information. arXiv preprint arXiv:1507.04924. Anzabi-Nezhad, N. S., Hodtani, G. A. & Kakhki, M. M. (2015). A new and more general capacity theorem for the gaussian channel with two-sided input-noise dependent state information. arXiv preprint arXiv:​1507.​04924.
15.
go back to reference Kim, Y.-H., Sutivong, A. & Sigurjonsson, S. (2004) Multiple user writing on dirty paper. In International symposium on information theory, 2004. ISIT 2004. Proceedings., p. 534. IEEE. Kim, Y.-H., Sutivong, A. & Sigurjonsson, S. (2004) Multiple user writing on dirty paper. In International symposium on information theory, 2004. ISIT 2004. Proceedings., p. 534. IEEE.
16.
go back to reference Steinberg, Y. (2005). Coding for the degraded broadcast channel with random parameters, with causal and noncausal side information. IEEE Transactions on Information Theory, 51(8), 2867–2877.CrossRef Steinberg, Y. (2005). Coding for the degraded broadcast channel with random parameters, with causal and noncausal side information. IEEE Transactions on Information Theory, 51(8), 2867–2877.CrossRef
17.
go back to reference Steinberg, Y., & Shamai, S. (2005). Achievable rates for the broadcast channel with states known at the transmitter. In Information theory, 2005. Proceedings international symposium on ISIT 2005, pp. 2184–2188. IEEE. Steinberg, Y., & Shamai, S. (2005). Achievable rates for the broadcast channel with states known at the transmitter. In Information theory, 2005. Proceedings international symposium on ISIT 2005, pp. 2184–2188. IEEE.
18.
go back to reference Khosravi-Farsani, R., & Marvasti, F. (2011). Capacity bounds for multiuser channels with non-causal channel state information at the transmitters. In Information theory workshop (ITW), 2011 IEEE (pp. 195–199). IEEE. Khosravi-Farsani, R., & Marvasti, F. (2011). Capacity bounds for multiuser channels with non-causal channel state information at the transmitters. In Information theory workshop (ITW), 2011 IEEE (pp. 195–199). IEEE.
19.
go back to reference Ghabeli, L. (2021) The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances. IET Communications, 1–11. Ghabeli, L. (2021) The inner and outer bounds on the capacity of the 3‐user GBC‐SKT with unequal state variances. IET Communications, 1–11.
20.
go back to reference Hajizadeh, S., & Hodtani, G. A. (2012). Three-receiver broadcast channels with side information. In 2012 IEEE International Symposium on Information Theory Proceedings (pp. 393–397). IEEE. Hajizadeh, S., & Hodtani, G. A. (2012). Three-receiver broadcast channels with side information. In 2012 IEEE International Symposium on Information Theory Proceedings (pp. 393–397). IEEE.
21.
go back to reference Bahrami, S., & Hodtani, G. A. (2015). On capacity region of certain classes of three-receiver broadcast channels with side information. IET Communications, 9(6), 795–807.CrossRef Bahrami, S., & Hodtani, G. A. (2015). On capacity region of certain classes of three-receiver broadcast channels with side information. IET Communications, 9(6), 795–807.CrossRef
22.
go back to reference del Aguila, F. R., Imran, M. A. & Tafazolli, R. (2013). On the three-receiver multilevel broadcast channel with random parameters. In SCC 2013; 9th international ITG conference on systems, communication and coding, pp. 1–6. VDE. del Aguila, F. R., Imran, M. A. & Tafazolli, R. (2013). On the three-receiver multilevel broadcast channel with random parameters. In SCC 2013; 9th international ITG conference on systems, communication and coding, pp. 1–6. VDE.
23.
go back to reference Mao, Y., & Clerckx, B. (2020). Beyond dirty paper coding for multi-antenna broadcast channel with partial CSIT: A rate-splitting approach. IEEE Transactions on Communications, 68(11), 6775–6791.CrossRef Mao, Y., & Clerckx, B. (2020). Beyond dirty paper coding for multi-antenna broadcast channel with partial CSIT: A rate-splitting approach. IEEE Transactions on Communications, 68(11), 6775–6791.CrossRef
24.
go back to reference Pakravan, S. & Hodtani, G. A. (2020). Capacity region for wireless more capable broadcast channel with channel state available at the receivers. In 2020 28th Iranian conference on electrical engineering (ICEE) (pp. 1–5), IEEE. Pakravan, S. & Hodtani, G. A. (2020). Capacity region for wireless more capable broadcast channel with channel state available at the receivers. In 2020 28th Iranian conference on electrical engineering (ICEE) (pp. 1–5), IEEE.
25.
go back to reference de Kerret, P., Gesbert, D., Zhang, J., & Elia, P. (2020). Optimal DoF of the K-user broadcast channel with delayed and imperfect current CSIT. IEEE Transactions on Information Theory, 66(11), 7056–7066.CrossRef de Kerret, P., Gesbert, D., Zhang, J., & Elia, P. (2020). Optimal DoF of the K-user broadcast channel with delayed and imperfect current CSIT. IEEE Transactions on Information Theory, 66(11), 7056–7066.CrossRef
26.
go back to reference Pakravan, S., & Hodtani, G. A. (2022). Analysis of side information impact on the coverage region of wireless wiretap channel. Wireless Personal Communications, 126(4), 3253–3268.CrossRef Pakravan, S., & Hodtani, G. A. (2022). Analysis of side information impact on the coverage region of wireless wiretap channel. Wireless Personal Communications, 126(4), 3253–3268.CrossRef
27.
go back to reference Lin, S.-C., Wang, I.-H., & Vahid, A. (2021). Capacity of broadcast packet erasure channels with single-user delayed CSI. IEEE Transactions on Information Theory, 67(10), 6283–6295.CrossRef Lin, S.-C., Wang, I.-H., & Vahid, A. (2021). Capacity of broadcast packet erasure channels with single-user delayed CSI. IEEE Transactions on Information Theory, 67(10), 6283–6295.CrossRef
28.
go back to reference Pakravan, S., & Hodtani, G. A. (2022). Analysis of side information impact on the physical layer security performances in wireless wiretap channel. Transactions on Emerging Telecommunications Technologies, 33(1), e4401.CrossRef Pakravan, S., & Hodtani, G. A. (2022). Analysis of side information impact on the physical layer security performances in wireless wiretap channel. Transactions on Emerging Telecommunications Technologies, 33(1), e4401.CrossRef
29.
go back to reference Yao, Y., & Jafar, S. A. (2022). Capacity of 3-user linear computation broadcast over F q with 1D demand and side-information. In 2022 IEEE International Symposium on Information Theory (ISIT), (pp. 1151–1156), IEEE. Yao, Y., & Jafar, S. A. (2022). Capacity of 3-user linear computation broadcast over F q with 1D demand and side-information. In 2022 IEEE International Symposium on Information Theory (ISIT), (pp. 1151–1156), IEEE.
30.
go back to reference Pakravan, S., & Hodtani, G. A. (2020). Semi-deterministic broadcast channel with side information: A secrecy capacity outer bound. In 2020 10th international conference on computer and knowledge engineering (ICCKE) (pp. 245–249), IEEE. Pakravan, S., & Hodtani, G. A. (2020). Semi-deterministic broadcast channel with side information: A secrecy capacity outer bound. In 2020 10th international conference on computer and knowledge engineering (ICCKE) (pp. 245–249), IEEE.
31.
go back to reference El-Gamal, A., & Kim, Y.-H. (2011). Network information theory. Cambridge University Press.CrossRef El-Gamal, A., & Kim, Y.-H. (2011). Network information theory. Cambridge University Press.CrossRef
32.
go back to reference Hodtani, G. A. (2015). The effect of transceiver recognition on the Gaussian channel capacity. In 2015 Iran workshop on communication and information theory (IWCIT), (pp. 1–3). IEEE. Hodtani, G. A. (2015). The effect of transceiver recognition on the Gaussian channel capacity. In 2015 Iran workshop on communication and information theory (IWCIT), (pp. 1–3). IEEE.
Metadata
Title
An extension of Cover–Chiang work on point to point channel to less noisy broadcast channel and analysis of the receivers cognition impacts
Authors
Saeid Pakravan
Ghosheh Abed Hodtani
Publication date
06-10-2023
Publisher
Springer US
Published in
Telecommunication Systems / Issue 4/2023
Print ISSN: 1018-4864
Electronic ISSN: 1572-9451
DOI
https://doi.org/10.1007/s11235-023-01056-8

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