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Optimal Signaling Schemes and Capacities of Non-Coherent Correlated MISO Channels under Per-Antenna Power Constraints

Minh, Vu Nhat
http://orcid.org/0000-0001-8727-0350
http://rave.ohiolink.edu/etdc/view?acc_num=akron1533115867950851

Abstract Details

2018, Master of Science, University of Akron, Electrical Engineering.
This thesis studies the optimal inputs and capacities of non-coherent correlated multiple-input single-output (MISO) channels in fast Rayleigh fading. We consider two scenarios: channels under per-antenna power constraints and channels under joint per-antenna and sum power constraints. For per-antenna power constraints, we establish the convexity and compactness of the feasible sets, and demonstrate the existence of optimal input distribution. By exploiting the solutions of a quadratic optimization problem, we show that the Kuhn-Tucker condition (KTC) on the optimal inputs can be simplified to a single dimension and prove the discreteness and finiteness of the optimal effective magnitude distribution. Then, we are able to construct a finite and discrete optimal input vector and determine the capacity gain of MISO over SISO. We also extend the results to MISO channels subject to the joint per-antenna and sum power constraints. For this case, the optimal phases and the optimal power allocation among the transmit antennas need to be determined simultaneously via a quadratic optimization subject to inequality constraints. Based on our results, the capacity of considered channels can be obtained and exploited as an upper bound for the operational transmission rate. Further researches can also rely on our analysis of the optimal inputs to construct reliable coding schemes for MISO fading channels.
Nghi Tran (Advisor)
Hamid Bahrami (Committee Member)
Shivakumar Sastry (Committee Member)
66 p.
Electrical Engineering
Capacity-achieving input, non-coherent channel, MISO fading channel, per-antenna power constraint, joint sum and per-antenna power constraints, Rayleigh fading

Recommended Citations

Citations

  • Minh, V. N. (2018). Optimal Signaling Schemes and Capacities of Non-Coherent Correlated MISO Channels under Per-Antenna Power Constraints [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1533115867950851

    APA Style (7th edition)

  • Minh, Vu. Optimal Signaling Schemes and Capacities of Non-Coherent Correlated MISO Channels under Per-Antenna Power Constraints. 2018. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1533115867950851.

    MLA Style (8th edition)

  • Minh, Vu. "Optimal Signaling Schemes and Capacities of Non-Coherent Correlated MISO Channels under Per-Antenna Power Constraints." Master's thesis, University of Akron, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1533115867950851

    Chicago Manual of Style (17th edition)

akron1533115867950851
388
© 2018, some rights reserved.Creative Commons License Optimal Signaling Schemes and Capacities of Non-Coherent Correlated MISO Channels under Per-Antenna Power Constraints by Vu Nhat Minh is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Akron and OhioLINK.