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Capacities of Bernoulli-Gaussian Impulsive Noise Channels in Rayleigh Fading

Vu, Hung Van
http://rave.ohiolink.edu/etdc/view?acc_num=akron1407370145

Abstract Details

2014, Master of Science, University of Akron, Electrical Engineering.
Impulsive noise caused by undesirable impulse triggers in the form of random bursts that occur over short durations severely affects the throughput and reliability of many modern communication systems, including power line communications, digital subscriber lines. Further, impulsive noise is also observed in wireless communications systems such as urban and indoor wireless communications, and cognitive radio. Despite many advancements, channels under impulsive noise are not fully understood, especially from an information-theoretic perspective. This thesis presents novel approaches to estimate information-theoretic limits of impulsive noise channels in wireless fading environments. The focus is on the additive Bernoulli-Gaussian (BG) impulsive noise channel in Rayleigh fading where channel gains are known at the receiver but not the transmitter. The first part of this thesis is concerned with the calculation of the information rate or the constrained capacity achieved by a given finite-alphabet input. It is first demonstrated that the differential entropy of the BG impulsive noise can be expressed in closed-form using Gaussian hypergeometric function 2F1(1, 1; .; .). A numerical method using 2-dimensional (2-D) Gauss-Hermite quadrature formulas is then applied to calculate the instantaneous differential entropy of the channel output. A novel piecewise-linear curve fitting (PWLCF) technique is then proposed to evaluate the output entropy averaged over fading gains. Combining these results, it is finally shown that the constrained capacity can be effectively estimated. The second part of the thesis focuses on the evaluation of the unconstrained Shannon capacity, which can be understood as the maximum transmission rate, via tight upper and lower bounds. In particular, two upper bounds on the channel capacity are first derived in closed-form using the assumption of a Gaussian output and using full knowledge of noise state, respectively. Under the assumption of a Gaussian input, a lower bound on the capacity limit is then developed by examining the instantaneous channel gains in two disjoint regions. Specifically, in the high-gain region, the lower bound is evaluated via the upper bound obtained under the Gaussian output assumption. In the other region, the PWLCF method is applied to estimate the lower bound. Interestingly, it is demonstrated the lower bound can be estimated with a predetermined accuracy. By comparing these bounds, it is shown that the lower bound can be used to effectively estimate the Shannon channel capacity.
Nghi Tran, Dr. (Advisor)
S.I. Hariharan, Dr. (Committee Member)
Kye-Shin Lee, Dr. (Committee Member)
75 p.
Electrical Engineering
Impulsive noise, Channel capacity, Information rate

Recommended Citations

Citations

  • Vu, H. V. (2014). Capacities of Bernoulli-Gaussian Impulsive Noise Channels in Rayleigh Fading [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1407370145

    APA Style (7th edition)

  • Vu, Hung. Capacities of Bernoulli-Gaussian Impulsive Noise Channels in Rayleigh Fading . 2014. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1407370145.

    MLA Style (8th edition)

  • Vu, Hung. "Capacities of Bernoulli-Gaussian Impulsive Noise Channels in Rayleigh Fading ." Master's thesis, University of Akron, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=akron1407370145

    Chicago Manual of Style (17th edition)

akron1407370145
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© 2014, some rights reserved.Creative Commons License Capacities of Bernoulli-Gaussian Impulsive Noise Channels in Rayleigh Fading by Hung Van Vu 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.