In studying the performance of coded communications over memoryless channels (with or without fading), the results are given as upper bounds on the average bit error probability (BEP). In principle, there are three different approaches to arriving at these bounds, all of which employ obtaining the so-called pairwise error probability , or the probability of choosing one symbol sequence over another for a given pair of possible transmitted symbol sequences, followed by a weighted summation over all pairwise events. In this chapter, we will focus on the results obtained from the third approach since these provide the tightest upper bounds on the true performance. The first emphasis will be placed on evaluating the pairwise error probability with and without CSI, following which we shall discuss how the results of these evaluations can be used via the transfer bound approach to evaluate average BEP of coded modulation transmitted over the fading channel.

Coded Communication over Fading Channels

The work is giving estimations of the discrepancy between solutions of the initial and the homogenized problems for a one{dimensional second order elliptic operators with random coeecients satisfying strong or uniform mixing conditions. We obtain several sharp estimates in terms of the corresponding mixing coeecient. Abstract. In the theory of homogenisation it is of particular interest to determine the classes of problems which are stable on taking the homogenisation limits. A notable situation where the limit enlarges the class of original problems is known as memory (nonlocal) eeects. A number of results in that direction has been obtained for linear problems. Tartar (1990) innitiated the study of the eeective equation corresponding to nonlinear equation: @ t u n + a n u 2 n = f: Signiicant progress has been hampered by the complexity of required computations needed in order to obtain the terms in power{series expansion. We propose a method which overcomes that diiculty by introducing graphs representing the domain of integration of the integrals in each term. The graphs are relatively simple, it is easy to calculate with them and they give us a clear image of the form of each term. The method allows us to discuss the form of the eeective equation and the convergence of power{series expansions. The feasibility of our method for other types of nonlinearities will be discussed as well.

Applied Mathematics and Computation

Optical Engineering Core 28 hours CPE 112 3 Intro To Computer Programming MA 113, MA 115, or Level III placement FSM EE 307 3 Electricity and Magnetism EE 300 FSM EE 313 3 Electrical Circuits II Preor co-requisite: EE 307 FSM EE 447 3 Electromagnetic Waves EE 313 S OPE 453 3 Laser Systems EE 307 F OPE 455 2 Optical Engineering Laboratory PH 113, OPT 342, EE 382 or OPT 442 S OPE 459 3 Optical Engineering Design ISE 321, Senior standing S OPT 341 3 Geometrical Optics PH 113 F OPT 342 3 Physical Optics OPT 341 S OPT 411 2 Geometrical Optics Laboratory PH 116, OPT 341, OPE 441 suggested co-requisite F

海外文献紹介 Optical Engineering

Progress in Electromagnetics Research

Optical solitons in a non-Kerr law media is studied in this paper in presence of perturbation terms. This is governed by the Nonlinear Schrodinger’s equation. He’s semi-inverse variational principle is used to carry out the integration of this perturbed Nonlinear Schrodinger’s equation with non-Kerr law nonlinearity. The types of nonlinearity that are considered are Kerr, power, parabolic and dual-power law. The parametric domain is also identified for the solitons to exist.

Optical Solitons by He’s Variational Principle in a Non-Kerr Law Media

Dual-diversity receiver employing selection combining (SC) is often used in wireless communication systems due to its simplicity. Ability of the Rician model to describe fading in wireless communications is the reason to derive infinity-series representations for both the probability density function (PDF) and the cumulative distribution function (CDF) of output signal-to-interference ratio (SIR) at the dual SC receiver over correlated Rician fading channels in the presence of correlated Rayleigh distributed cochannel interference (CCI). These expressions are used to study wireless system performance criteria, such as outage probability and average bit error probability (ABEP).

Performance analysis of system with selection combining over correlated Rician fading channels in the presence of cochannel interference

In this paper, the performance of L-branch selection combining receiver over correlated Weibull fading channels in the presence of correlated Weibull-distributed cochannel interference is analyzed. Closed-form expressions for probability density function and cumulative distribution function of the signal-to-interference ratio at the output of the selection combining receiver present main contribution of this paper. Numerical results are also presented to show the effects of various parameters as the fading severity, correlation and number of branches on outage probability. Copyright © 2009 John Wiley & Sons, Ltd.

This paper analyzes the outage performance of L-branch SC receiver over correlated Weibull fading channels in the presence of correlated Weibull-distributed co-channel interference. In order to carry out this analysis, closed-form expression for the outage probability of considered system is derived. Presented numerical results show the effects of various parameters as the fading severity, correlation and number of branch on the outage probability. Copyright © 2009 John Wiley & Sons, Ltd.

http://www.doiserbia.nb.rs/ft.aspx?id=0353-36701001087S

Performance analysis of system with L-branch selection combining over correlated Weibull fading channels in the presence of cochannel interference

We present an infinite-series representation for the average level crossing rate (LCR) of dual selection combining (SC) receivers, operating over correlated Rician fading channels, in the presence of Rayleigh cochannel interference (CCI). Numerical results are presented to illustrate the proposed mathematical analysis and to point out the effect of the branch correlation and fading severity on the average LCR.

Average Level Crossing Rate of Dual Selection Diversity in Correlated Rician Fading with Rayleigh Cochannel Interference

The transmission speed of optical networks strongly depends on the impact of higher order dispersion. In the presence of coherent interference which can’t be kept under control by optical filtering, the impact of higher order dispersion becomes more serious. In this paper we give general expressions that describe pulse deformation due to even higher order dispersion in a single-mode fiber. The impulsive responses for even order dispersion in the presence of coherent interference are characterized by symmetrical waveforms with long trailing skirts. Individual and joint influence of second and fourth order dispersion on the transmission quality is studied. Pulse shape and eye diagram are obtained.

https://www.jpier.org/PIERB/pierb03/05.07120404.pdf

Influence of Even Order Dispersion on Soliton Transmission Quality with Coherent Intereference

The detrimental effect of short-term fading and shadowing can be mitigated using microdiversity and macrodiversity systems, respectively. In this paper, implementation of selection combining at both micro and macro levels to improve system performance is analyzed. An assessment of the performance of such a system is carried out by considering the desired signal as Rician fading with lognormal shadowing and cochannel interference signal as Rayleigh fading superimposed over lognormal shadowing. The proposed analysis is complemented by various performance evaluation results, including the effects on overall system performance of fading severity, shadowing spreads and branch correlation existing at the base station, and correlation between base stations.

Aleksandra S. Panajotovic

Papers

Performance analysis of system with selection combining over correlated Rician fading channels in the presence of cochannel interference

Performance analysis of system with L-branch selection combining over correlated Weibull fading channels in the presence of cochannel interference

Average Level Crossing Rate of Dual Selection Diversity in Correlated Rician Fading with Rayleigh Cochannel Interference

Influence of Even Order Dispersion on Soliton Transmission Quality with Coherent Intereference

Effect of Microdiversity and Macrodiversity on Average Bit Error Probability in Shadowed Fading Channels in the Presence of Interference