Abstract
We consider a K-user multiple-input single-output (MISO) broadcast channel (BC) where the channel state information (CSI) of user i(i = 1, 2,⋯, K) may be either instantaneously perfect (P), delayed (D) or not known (N) at the transmitter with probabilities λP i, λD i and λN i, respectively. In this setting, according to the three possible CSIT for each user, knowledge of the joint CSIT of the K users could have at most 3K states. Although the results by Tandon et al. show that for the symmetric two user MISO BC (i.e., λQ i = λQ, ∀i ∈ {1, 2}, Q ∈ {P, D, N}), the Degrees of Freedom (DoF) region depends only on the marginal probabilities, we show that this interesting result does not hold in general when K ≥ 3. In other words, the DoF region is a function of all the joint probabilities. In this paper, given the marginal probabilities of CSIT, we derive an outer bound for the DoF region of the K-user MISO BC. Subsequently, we investigate the achievability of the outer bound in some scenarios. Finally, we show the dependence of the DoF region on the joint probabilities.
| Original language | English |
|---|---|
| Title of host publication | 2015 IEEE International Conference on Communications, ICC 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 4199-4204 |
| Number of pages | 6 |
| Volume | 2015-September |
| ISBN (Electronic) | 9781467364324 |
| DOIs | |
| Publication status | Published - 2015 Sep 9 |
| Event | IEEE International Conference on Communications, ICC 2015 - London, United Kingdom Duration: 2015 Jun 8 → 2015 Jun 12 |
Other
| Other | IEEE International Conference on Communications, ICC 2015 |
|---|---|
| Country | United Kingdom |
| City | London |
| Period | 15/6/8 → 15/6/12 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Computer Networks and Communications
Cite this
DoF analysis of the K-user MISO broadcast channel with hybrid CSIT. / Rassouli, Borzoo; Hao, Chenxi; Clercks, Bruno.
2015 IEEE International Conference on Communications, ICC 2015. Vol. 2015-September Institute of Electrical and Electronics Engineers Inc., 2015. p. 4199-4204 7248982.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - DoF analysis of the K-user MISO broadcast channel with hybrid CSIT
AU - Rassouli, Borzoo
AU - Hao, Chenxi
AU - Clercks, Bruno
PY - 2015/9/9
Y1 - 2015/9/9
N2 - We consider a K-user multiple-input single-output (MISO) broadcast channel (BC) where the channel state information (CSI) of user i(i = 1, 2,⋯, K) may be either instantaneously perfect (P), delayed (D) or not known (N) at the transmitter with probabilities λP i, λD i and λN i, respectively. In this setting, according to the three possible CSIT for each user, knowledge of the joint CSIT of the K users could have at most 3K states. Although the results by Tandon et al. show that for the symmetric two user MISO BC (i.e., λQ i = λQ, ∀i ∈ {1, 2}, Q ∈ {P, D, N}), the Degrees of Freedom (DoF) region depends only on the marginal probabilities, we show that this interesting result does not hold in general when K ≥ 3. In other words, the DoF region is a function of all the joint probabilities. In this paper, given the marginal probabilities of CSIT, we derive an outer bound for the DoF region of the K-user MISO BC. Subsequently, we investigate the achievability of the outer bound in some scenarios. Finally, we show the dependence of the DoF region on the joint probabilities.
AB - We consider a K-user multiple-input single-output (MISO) broadcast channel (BC) where the channel state information (CSI) of user i(i = 1, 2,⋯, K) may be either instantaneously perfect (P), delayed (D) or not known (N) at the transmitter with probabilities λP i, λD i and λN i, respectively. In this setting, according to the three possible CSIT for each user, knowledge of the joint CSIT of the K users could have at most 3K states. Although the results by Tandon et al. show that for the symmetric two user MISO BC (i.e., λQ i = λQ, ∀i ∈ {1, 2}, Q ∈ {P, D, N}), the Degrees of Freedom (DoF) region depends only on the marginal probabilities, we show that this interesting result does not hold in general when K ≥ 3. In other words, the DoF region is a function of all the joint probabilities. In this paper, given the marginal probabilities of CSIT, we derive an outer bound for the DoF region of the K-user MISO BC. Subsequently, we investigate the achievability of the outer bound in some scenarios. Finally, we show the dependence of the DoF region on the joint probabilities.
UR - http://www.scopus.com/inward/record.url?scp=84953723962&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84953723962&partnerID=8YFLogxK
U2 - 10.1109/ICC.2015.7248982
DO - 10.1109/ICC.2015.7248982
M3 - Conference contribution
AN - SCOPUS:84953723962
VL - 2015-September
SP - 4199
EP - 4204
BT - 2015 IEEE International Conference on Communications, ICC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
ER -