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Quantized Feedback for Slow Fading Channels
KTH, School of Electrical Engineering (EES).
2006 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

Two topics in fading channels with a strict delay constraint and a resolution-constrained feedback link are treated in this thesis.

First, a multi-layer variable-rate single-antenna communication system with quantized feedback, where the expected rate is chosen as the performance measure, is studied under both short-term and long-term power constraints. Iterative algorithms exploiting results in the literature of parallel broadcast channels are developed to design the system parameters. A necessary and sufficient condition for single-layer coding to be optimal is derived. In contrast to the ergodic case, it is shown that a few bits of feedback information can improve the expected rate dramatically. The role of multi-layer coding, however, reduces quickly as the resolution of the feedback link increases.

The other part of the thesis deals with partial power control systems utilizing quantized feedback to minimize outage probability, with an emphasis on the diversity-multiplexing tradeoff. An index mapping with circular structure is shown to be optimal and the design is facilitated with a justified Gaussian approximation. The diversity gain as a function of the feedback resolution is analyzed. The results are then extended to characterize the entire diversity-multiplexing tradeoff curve of multiple-antenna channels with resolution-constrained feedback. Adaptive-rate communication is also studied, where the concept of minimum multiplexing gain is introduced. It is shown that the diversity gain of a system increases significantly even with coarsely quantized feedback, especially at low multiplexing gains.

Place, publisher, year, edition, pages
Stockholm: KTH , 2006. , vi, 21 p.
Series
Trita-EE, ISSN 1653-5146 ; 2006:011
Keyword [en]
Fading channels, information rates, feedback communications, diversity methods, MIMO systems, power control, adaptive systems, quantization.
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-3952OAI: oai:DiVA.org:kth-3952DiVA: diva2:10169
Presentation
2006-05-24, Q2, Osquldas väg 10, KTH, Stockholm, 13:00
Opponent
Supervisors
Note
QC 20101117Available from: 2006-05-11 Created: 2006-05-11 Last updated: 2010-11-17Bibliographically approved
List of papers
1. On the expected rate of slowly fading channels with quantized side information
Open this publication in new window or tab >>On the expected rate of slowly fading channels with quantized side information
2007 (English)In: IEEE Transactions on Communications, ISSN 0090-6778, E-ISSN 1558-0857, Vol. 55, no 4, 820-829 p.Article in journal (Refereed) Published
Abstract [en]

We study a multiple-layer variable-rate system employing quantized feedback to maximize the expected rate over a single-input single-output slowly fading Gaussian channel. The transmitter uses partial channel-state information, which is obtained via an optimized resolution-constrained feedback link, to adapt the power and to assign code layer rates, subject to different power constraints. To systematically design the system parameters, we develop a simple iterative algorithm that successfully exploits results in the study of parallel broadcast channels. We present the necessary and sufficient conditions for single-layer coding to be optimal, irrespective of the number of code layers that the system can afford. Unlike in the ergodic case, even coarsely quantized feed-back is shown to improve the expected rate considerably. Our results also indicate that with as little as one bit of feedback information, the role of multilayer coding reduces significantly.

Place, publisher, year, edition, pages
IEEE Communications Society, 2007
Keyword
broadcast channels, fading channels, feedback communications, information rates, power control, multiple-antenna systems, coded modulation, feedback, capacity, power, transmission
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-16586 (URN)10.1109/TCOMM.2007.894115 (DOI)000246034300021 ()2-s2.0-34247180035 (Scopus ID)
Note
QC 20100525 QC 20111214Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved
2. Partial Power Control for Slowly Fading MIMO Channels
Open this publication in new window or tab >>Partial Power Control for Slowly Fading MIMO Channels
2006 (English)In: Proceedings of 2006 IEEE International Conference on Communications, New York: IEEE , 2006, 1362-1367 p.Conference paper, Published paper (Refereed)
Abstract [en]

Transmit power control to minimize the outage probability over a slowly fading multiple-antenna channel utilizing partial channel state information at the transmitter is studied. The optimal power quantizer is shown to have a "circular" structure. The design problem is then explicitly formulated and numerically solved based on a Gaussian approximation. Asymptotic behavior of the outage probability achieved with a finite-size power codebook is investigated. It is shown that the diversity gain of such a system is a K-order polynomial of the product of the number of transmit and receive antennas, where K is the size of the power codebook. The interesting concept of power-control diversity is discussed.

Place, publisher, year, edition, pages
New York: IEEE, 2006
Series
IEEE International Conference on Communications, ISSN 0536-1486 ; 3
Keyword
Asymptotic analysis, Gaussian distribution, MIMO systems, Multi agent systems, Power control
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-5713 (URN)10.1109/ICC.2006.254938 (DOI)000287032701078 ()2-s2.0-42549162456 (Scopus ID)978-1-4244-0354-7 (ISBN)
Conference
2006 IEEE International Conference on Communications, ICC 2006; Istanbul; 11 July 2006 through 15 July 2006
Note
QC 20101117Available from: 2006-05-11 Created: 2006-05-11 Last updated: 2011-12-19Bibliographically approved
3. Diversity-Multiplexing Tradeoff of MIMO Systems with Partial Power Control
Open this publication in new window or tab >>Diversity-Multiplexing Tradeoff of MIMO Systems with Partial Power Control
2006 (English)In: 2006 International Zurich Seminar on Communications: Access - Transmission - Networking, Proceedings, New York, USA: IEEE , 2006, 106-109 p.Conference paper, Published paper (Refereed)
Abstract [en]

The tradeoff between the diversity and multiplexing gains that can be simultaneously achieved over a slowly fading multiple-antenna channel with partial transmit side information is characterized in a recursive manner. It is assumed that the information rate grows as the long-term average transmit power increases, but does not adapt to the channel state. Partial power control is shown to be instrumental in achieving the optimal tradeoff over such a system. Our results indicate that the diversity gain can be increased considerably even with coarsely quantized channel state information, especially at low multiplexing gains.

Place, publisher, year, edition, pages
New York, USA: IEEE, 2006
Keyword
Antennas, Channel capacity, Fading (radio), Gain control, Multiplexing, Power control
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-5714 (URN)10.1109/IZS.2006.1649091 (DOI)000238975300026 ()2-s2.0-33845563078 (Scopus ID)1-4244-0091-0 (ISBN)
Conference
International Zurich Seminar on Communications, Zurich, SWITZERLAND, FEB 22-24, 2006
Note

QC 20101117

Available from: 2006-05-11 Created: 2006-05-11 Last updated: 2015-09-15Bibliographically approved
4. Outage Behavior of MIMO Channels with Partial Feedback and Minimum Multiplexing Gains
Open this publication in new window or tab >>Outage Behavior of MIMO Channels with Partial Feedback and Minimum Multiplexing Gains
2006 (English)In: 2006 IEEE International Symposium on Information Theory, Vols 1-6, Proceedings, New York, USA: IEEE , 2006, 2694-2698 p.Conference paper, Published paper (Refereed)
Abstract [en]

The diversity-multiplexing (D-M) tradeoff over a multiantenna channel with resolution-constrained feedback is characterized. The concept of minimum guaranteed multiplexing gain in the forward link is introduced and shown to significantly influence the optimal D-M tradeoff. It is demonstrated that rate adaptation is important in obtaining a high diversity gain even at high rates. The class of extended approximately universal codes is shown to be tradeoff optimal. With codes from this class, the optimal D-M tradeoff is achievable by the combination of a feedback-dependent power controller and only two codebooks. Two novel lower bounds to the optimal D-M tradeoff based on Gaussian coding arguments are presented. These bounds are only asymptotically tight, but can quickly approach the optimal tradeoff even with moderate codeword lengths.

Place, publisher, year, edition, pages
New York, USA: IEEE, 2006
Keyword
Feedback control, Gain control, MIMO systems, Multiplexing, Power control
National Category
Telecommunications
Identifiers
urn:nbn:se:kth:diva-5715 (URN)10.1109/ISIT.2006.262143 (DOI)000245289705054 ()2-s2.0-39049139421 (Scopus ID)978-1-4244-0505-3 (ISBN)
Conference
IEEE International Symposium on Information Theory, Seattle, WA, JUL 09-14, 2006
Note
QC 20101117. Uppdaterad från In press till Published (20101117)Available from: 2006-05-11 Created: 2006-05-11 Last updated: 2011-12-22Bibliographically approved

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Citation style
  • apa
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Output format
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