Stochastic Precoding for MISO Interference Channels with Channel Mean Feedback
This work considers linear precoding strategies for multiple-input single-out (MISO) interference channels with channel mean feedback at transmitters, where the interference at each receiver is treated as additive noise. The challenge here is that previous precoder designs with perfect channel state...
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| Vydané v: | IEEE transactions on communications Ročník 60; číslo 4; s. 1082 - 1090 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.04.2012
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0090-6778 |
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| Abstract | This work considers linear precoding strategies for multiple-input single-out (MISO) interference channels with channel mean feedback at transmitters, where the interference at each receiver is treated as additive noise. The challenge here is that previous precoder designs with perfect channel state information (CSI) at transmitters do not apply and new approaches are required. Based on the Laplace transform order, an altruistic non-equilibrium strategy, i.e., the stochastic zero forcing, is first proposed under practical assumptions, generalizing the traditional zero forcing which requires perfect CSI. Interestingly, the precoding matrices here are all rank-one beamformers as in the traditional zero forcing. The competitive use of the common physical media in MISO interference channels is also formulated as a strategic noncooperative game. In contrast to the perfect CSI case with a unique rank-one Nash equilibrium, with channel mean feedback, the Nash equilibria here are not necessarily rank-one in general. Nevertheless, when achieved by the rank-one beamforming, the equilibrium is unique and convenient for implementation. Accordingly, the condition for beamforming to achieve the equilibrium is derived. Comparisons of the above two strategies reveal no overall dominance of one over the other, thereby establishing stochastic zero forcing as an alternative to the Nash equilibrium designs. |
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| AbstractList | This work considers linear precoding strategies for multiple-input single-out (MISO) interference channels with channel mean feedback at transmitters, where the interference at each receiver is treated as additive noise. The challenge here is that previous precoder designs with perfect channel state information (CSI) at transmitters do not apply and new approaches are required. Based on the Laplace transform order, an altruistic non-equilibrium strategy, i.e., the stochastic zero forcing, is first proposed under practical assumptions, generalizing the traditional zero forcing which requires perfect CSI. Interestingly, the precoding matrices here are all rank-one beamformers as in the traditional zero forcing. The competitive use of the common physical media in MISO interference channels is also formulated as a strategic noncooperative game. In contrast to the perfect CSI case with a unique rank-one Nash equilibrium, with channel mean feedback, the Nash equilibria here are not necessarily rank-one in general. Nevertheless, when achieved by the rank-one beamforming, the equilibrium is unique and convenient for implementation. Accordingly, the condition for beamforming to achieve the equilibrium is derived. Comparisons of the above two strategies reveal no overall dominance of one over the other, thereby establishing stochastic zero forcing as an alternative to the Nash equilibrium designs. |
| Author | Ding, Minhua Zhang, Q. T. |
| Author_xml | – sequence: 1 givenname: Minhua surname: Ding fullname: Ding, Minhua email: minhua.ding@ieee.org organization: Aalto University, Finland – sequence: 2 givenname: Q. T. surname: Zhang fullname: Zhang, Q. T. email: eekzhang@cityu.edu.hk organization: Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong |
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| Keywords | Additive noise Parameter estimation Coding circuit Transmitter Feedback regulation Nash equilibrium Interference channels Laplace transform order Beam forming Implementation stochastic zero forcing Coding multiple-input single-output (MISO) stochastic orders Channel estimation Signal processing Laplace transformation Open market Pretreatment MISO system |
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| SubjectTerms | Applied sciences Coding, codes Detection, estimation, filtering, equalization, prediction Exact sciences and technology Information, signal and communications theory Interference channels Laplace transform order multiple-input single-output (MISO) Nash equilibrium Radiocommunications Receivers Signal and communications theory Signal, noise stochastic orders Stochastic processes stochastic zero forcing Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Transmitters Transmitters. Receivers Vectors |
| Title | Stochastic Precoding for MISO Interference Channels with Channel Mean Feedback |
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