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This dissertation introduces stochastic ordering of instantaneous channel powers of fading channels as a general method to compare the performance of a communication system over two different channels, even when a closed-form expression for the metric may not be available. Such a comparison is with respect to a variety of

This dissertation introduces stochastic ordering of instantaneous channel powers of fading channels as a general method to compare the performance of a communication system over two different channels, even when a closed-form expression for the metric may not be available. Such a comparison is with respect to a variety of performance metrics such as error rates, outage probability and ergodic capacity, which share common mathematical properties such as monotonicity, convexity or complete monotonicity. Complete monotonicity of a metric, such as the symbol error rate, in conjunction with the stochastic Laplace transform order between two fading channels implies the ordering of the two channels with respect to the metric. While it has been established previously that certain modulation schemes have convex symbol error rates, there is no study of the complete monotonicity of the same, which helps in establishing stronger channel ordering results. Toward this goal, the current research proves for the first time, that all 1-dimensional and 2-dimensional modulations have completely monotone symbol error rates. Furthermore, it is shown that the frequently used parametric fading distributions for modeling line of sight exhibit a monotonicity in the line of sight parameter with respect to the Laplace transform order. While the Laplace transform order can also be used to order fading distributions based on the ergodic capacity, there exist several distributions which are not Laplace transform ordered, although they have ordered ergodic capacities. To address this gap, a new stochastic order called the ergodic capacity order has been proposed herein, which can be used to compare channels based on the ergodic capacity. Using stochastic orders, average performance of systems involving multiple random variables are compared over two different channels. These systems include diversity combining schemes, relay networks, and signal detection over fading channels with non-Gaussian additive noise. This research also addresses the problem of unifying fading distributions. This unification is based on infinite divisibility, which subsumes almost all known fading distributions, and provides simplified expressions for performance metrics, in addition to enabling stochastic ordering.
ContributorsRajan, Adithya (Author) / Tepedelenlioğlu, Cihan (Thesis advisor) / Papandreou-Suppappola, Antonia (Committee member) / Bliss, Daniel (Committee member) / Kosut, Oliver (Committee member) / Arizona State University (Publisher)
Created2014
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Description
Recently, the location of the nodes in wireless networks has been modeled as point processes. In this dissertation, various scenarios of wireless communications in large-scale networks modeled as point processes are considered. The first part of the dissertation considers signal reception and detection problems with symmetric alpha stable noise which

Recently, the location of the nodes in wireless networks has been modeled as point processes. In this dissertation, various scenarios of wireless communications in large-scale networks modeled as point processes are considered. The first part of the dissertation considers signal reception and detection problems with symmetric alpha stable noise which is from an interfering network modeled as a Poisson point process. For the signal reception problem, the performance of space-time coding (STC) over fading channels with alpha stable noise is studied. We derive pairwise error probability (PEP) of orthogonal STCs. For general STCs, we propose a maximum-likelihood (ML) receiver, and its approximation. The resulting asymptotically optimal receiver (AOR) does not depend on noise parameters and is computationally simple, and close to the ML performance. Then, signal detection in coexisting wireless sensor networks (WSNs) is considered. We define a binary hypothesis testing problem for the signal detection in coexisting WSNs. For the problem, we introduce the ML detector and simpler alternatives. The proposed mixed-fractional lower order moment (FLOM) detector is computationally simple and close to the ML performance. Stochastic orders are binary relations defined on probability. The second part of the dissertation introduces stochastic ordering of interferences in large-scale networks modeled as point processes. Since closed-form results for the interference distributions for such networks are only available in limited cases, it is of interest to compare network interferences using stochastic. In this dissertation, conditions on the fading distribution and path-loss model are given to establish stochastic ordering between interferences. Moreover, Laplace functional (LF) ordering is defined between point processes and applied for comparing interference. Then, the LF orderings of general classes of point processes are introduced. It is also shown that the LF ordering is preserved when independent operations such as marking, thinning, random translation, and superposition are applied. The LF ordering of point processes is a useful tool for comparing spatial deployments of wireless networks and can be used to establish comparisons of several performance metrics such as coverage probability, achievable rate, and resource allocation even when closed form expressions for such metrics are unavailable.
ContributorsLee, Junghoon (Author) / Tepedelenlioğlu, Cihan (Thesis advisor) / Spanias, Andreas (Committee member) / Reisslein, Martin (Committee member) / Kosut, Oliver (Committee member) / Arizona State University (Publisher)
Created2014
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Description
The problem of cooperative radar and communications signaling is investigated. Each system typically considers the other system a source of interference. Consequently, the tradition is to have them operate in orthogonal frequency bands. By considering the radar and communications operations to be a single joint system, performance bounds on a

The problem of cooperative radar and communications signaling is investigated. Each system typically considers the other system a source of interference. Consequently, the tradition is to have them operate in orthogonal frequency bands. By considering the radar and communications operations to be a single joint system, performance bounds on a receiver that observes communications and radar return in the same frequency allocation are derived. Bounds in performance of the joint system is measured in terms of data information rate for communications and radar estimation information rate for the radar. Inner bounds on performance are constructed.
ContributorsChiriyath, Alex (Author) / Bliss, Daniel W (Thesis advisor) / Kosut, Oliver (Committee member) / Berisha, Visar (Committee member) / Arizona State University (Publisher)
Created2014
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Description
Our daily life is becoming more and more reliant on services provided by the infrastructures

power, gas , communication networks. Ensuring the security of these

infrastructures is of utmost importance. This task becomes ever more challenging as

the inter-dependence among these infrastructures grows and a security breach in one

infrastructure can spill over to

Our daily life is becoming more and more reliant on services provided by the infrastructures

power, gas , communication networks. Ensuring the security of these

infrastructures is of utmost importance. This task becomes ever more challenging as

the inter-dependence among these infrastructures grows and a security breach in one

infrastructure can spill over to the others. The implication is that the security practices/

analysis recommended for these infrastructures should be done in coordination.

This thesis, focusing on the power grid, explores strategies to secure the system that

look into the coupling of the power grid to the cyber infrastructure, used to manage

and control it, and to the gas grid, that supplies an increasing amount of reserves to

overcome contingencies.

The first part (Part I) of the thesis, including chapters 2 through 4, focuses on

the coupling of the power and the cyber infrastructure that is used for its control and

operations. The goal is to detect malicious attacks gaining information about the

operation of the power grid to later attack the system. In chapter 2, we propose a

hierarchical architecture that correlates the analysis of high resolution Micro-Phasor

Measurement Unit (microPMU) data and traffic analysis on the Supervisory Control

and Data Acquisition (SCADA) packets, to infer the security status of the grid and

detect the presence of possible intruders. An essential part of this architecture is

tied to the analysis on the microPMU data. In chapter 3 we establish a set of anomaly

detection rules on microPMU data that

flag "abnormal behavior". A placement strategy

of microPMU sensors is also proposed to maximize the sensitivity in detecting anomalies.

In chapter 4, we focus on developing rules that can localize the source of an events

using microPMU to further check whether a cyber attack is causing the anomaly, by

correlating SCADA traffic with the microPMU data analysis results. The thread that

unies the data analysis in this chapter is the fact that decision are made without fully estimating the state of the system; on the contrary, decisions are made using

a set of physical measurements that falls short by orders of magnitude to meet the

needs for observability. More specifically, in the first part of this chapter (sections 4.1-

4.2), using microPMU data in the substation, methodologies for online identification of

the source Thevenin parameters are presented. This methodology is used to identify

reconnaissance activity on the normally-open switches in the substation, initiated

by attackers to gauge its controllability over the cyber network. The applications

of this methodology in monitoring the voltage stability of the grid is also discussed.

In the second part of this chapter (sections 4.3-4.5), we investigate the localization

of faults. Since the number of PMU sensors available to carry out the inference

is insufficient to ensure observability, the problem can be viewed as that of under-sampling

a "graph signal"; the analysis leads to a PMU placement strategy that can

achieve the highest resolution in localizing the fault, for a given number of sensors.

In both cases, the results of the analysis are leveraged in the detection of cyber-physical

attacks, where microPMU data and relevant SCADA network traffic information

are compared to determine if a network breach has affected the integrity of the system

information and/or operations.

In second part of this thesis (Part II), the security analysis considers the adequacy

and reliability of schedules for the gas and power network. The motivation for

scheduling jointly supply in gas and power networks is motivated by the increasing

reliance of power grids on natural gas generators (and, indirectly, on gas pipelines)

as providing critical reserves. Chapter 5 focuses on unveiling the challenges and

providing solution to this problem.
ContributorsJamei, Mahdi (Author) / Scaglioe, Anna (Thesis advisor) / Ayyanar, Raja (Committee member) / Hedman, Kory W (Committee member) / Kosut, Oliver (Committee member) / Arizona State University (Publisher)
Created2018
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Description

Lossy compression is a form of compression that slightly degrades a signal in ways that are ideally not detectable to the human ear. This is opposite to lossless compression, in which the sample is not degraded at all. While lossless compression may seem like the best option, lossy compression, which

Lossy compression is a form of compression that slightly degrades a signal in ways that are ideally not detectable to the human ear. This is opposite to lossless compression, in which the sample is not degraded at all. While lossless compression may seem like the best option, lossy compression, which is used in most audio and video, reduces transmission time and results in much smaller file sizes. However, this compression can affect quality if it goes too far. The more compression there is on a waveform, the more degradation there is, and once a file is lossy compressed, this process is not reversible. This project will observe the degradation of an audio signal after the application of Singular Value Decomposition compression, a lossy compression that eliminates singular values from a signal’s matrix.

ContributorsHirte, Amanda (Author) / Kosut, Oliver (Thesis director) / Bliss, Daniel (Committee member) / Electrical Engineering Program (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2021-05