Throughput Maximization in Poisson Fading Channels with Limited Feedback
A shot-noise limited single-user single-input single-output (SISO) Poisson fading channel with partial channel state information (CSI) at the transmitter and perfect CSI at the receiver is considered. We address an optimal transmit power allocation problem that maximizes the ergodic capacity of the...
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| Vydané v: | IEEE transactions on communications Ročník 61; číslo 10; s. 4343 - 4356 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.10.2013
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0090-6778, 1558-0857 |
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| Abstract | A shot-noise limited single-user single-input single-output (SISO) Poisson fading channel with partial channel state information (CSI) at the transmitter and perfect CSI at the receiver is considered. We address an optimal transmit power allocation problem that maximizes the ergodic capacity of the SISO Poisson fading channel subject to peak and average power constraints with only quantized CSI available at the transmitter, acquired via a no-delay and error-free feedback link with finite-rate from the receiver to the transmitter. Due to the non-convexity of the proposed optimization problem, a globally optimum solution is difficult to obtain. However, we manage to obtain a locally optimal quantized power allocation (QPA) scheme by solving its dual Lagrangian optimization problem. We develop two efficient optimal QPA algorithms for solving the dual optimization problem and show that both of these algorithms converge to the globally optimal solution of the dual problem. A low-complexity near-optimal QPA algorithm is also derived for the case of large number of feedback bits. The results are then extended to the high peak signal-to-noise ratio (SNR) regime and an explicit expression for the approximate asymptotic ergodic capacity behavior in the high SNR regime with high rate quantization (as the number of feedback bits goes to infinity) is also provided. It is seen via numerical simulations that this asymptotic capacity expression correctly approaches the capacity of the corresponding full CSI case as the number of feedback bits becomes large. Finally, the effectiveness of the derived algorithms is examined through numerical simulations. |
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| AbstractList | A shot-noise limited single-user single-input single-output (SISO) Poisson fading channel with partial channel state information (CSI) at the transmitter and perfect CSI at the receiver is considered. We address an optimal transmit power allocation problem that maximizes the ergodic capacity of the SISO Poisson fading channel subject to peak and average power constraints with only quantized CSI available at the transmitter, acquired via a no-delay and error-free feedback link with finite-rate from the receiver to the transmitter. Due to the non-convexity of the proposed optimization problem, a globally optimum solution is difficult to obtain. However, we manage to obtain a locally optimal quantized power allocation (QPA) scheme by solving its dual Lagrangian optimization problem. We develop two efficient optimal QPA algorithms for solving the dual optimization problem and show that both of these algorithms converge to the globally optimal solution of the dual problem. A low-complexity near-optimal QPA algorithm is also derived for the case of large number of feedback bits. The results are then extended to the high peak signal-to-noise ratio (SNR) regime and an explicit expression for the approximate asymptotic ergodic capacity behavior in the high SNR regime with high rate quantization (as the number of feedback bits goes to infinity) is also provided. It is seen via numerical simulations that this asymptotic capacity expression correctly approaches the capacity of the corresponding full CSI case as the number of feedback bits becomes large. Finally, the effectiveness of the derived algorithms is examined through numerical simulations. |
| Author | Dey, Subhrakanti YuanYuan He |
| Author_xml | – sequence: 1 surname: YuanYuan He fullname: YuanYuan He email: yuhe@unimelb.edu.au organization: Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia – sequence: 2 givenname: Subhrakanti surname: Dey fullname: Dey, Subhrakanti email: sdey@ee.unimelb.edu.au organization: Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia |
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| Keywords | Parameter estimation Information rate Transmitter Feedback regulation limited feedback Power allocation Optimization wireless optical communications Poisson fading channels Optimal allocation Signal quantization Channel estimation Delay time Convexity Peak power Fading channels Optimal algorithm Asymptotic behavior Transfer characteristic Ergodicity Information transmission Free-space optical communication Algorithm performance Optimal solution SISO system Shot noise Signal to noise ratio |
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| SubjectTerms | Algorithm design and analysis Applied sciences Detection, estimation, filtering, equalization, prediction Electrical Engineering with specialization in Signal Processing Elektroteknik med inriktning mot signalbehandling Exact sciences and technology Fading Free-space optical communication Information, signal and communications theory limited feedback Optical transmitters Optimization Poisson fading channels Radiocommunications Receivers Resource management Sampling, quantization Signal and communications theory Signal, noise Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transmission and modulation (techniques and equipments) Transmitters. Receivers wireless optical communications |
| Title | Throughput Maximization in Poisson Fading Channels with Limited Feedback |
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