Skip to main content

ASU Global menu

Skip to Content Report an accessibility problem ASU Home My ASU Colleges and Schools Sign In
Arizona State University Arizona State University
ASU Library KEEP

Main navigation

Home Browse Collections Share Your Work
Copyright Describe Your Materials File Formats Open Access Repository Practices Share Your Materials Terms of Deposit API Documentation
Skip to Content Report an accessibility problem ASU Home My ASU Colleges and Schools Sign In
  1. KEEP
  2. Theses and Dissertations
  3. ASU Electronic Theses and Dissertations
  4. On the ordering of communication channels
  5. Full metadata

On the ordering of communication channels

Full metadata

Description

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.

Date Created
2014
Contributors
  • Rajan, Adithya (Author)
  • Tepedelenlioğlu, Cihan (Thesis advisor)
  • Papandreou-Suppappola, Antonia (Committee member)
  • Bliss, Daniel (Committee member)
  • Kosut, Oliver (Committee member)
  • Arizona State University (Publisher)
Topical Subject
  • Electrical Engineering
  • ergodic capacity
  • fading
  • Ordering channels
  • Stochastic orders
  • symbol error rate
  • Wireless communication
  • Stochastic orders
  • Ergodic theory
  • Wireless communication systems
  • Radio--Transmitters and transmission--Fading.
Resource Type
Text
Genre
Doctoral Dissertation
Academic theses
Extent
vii, 133 p. : ill. (some col.)
Language
eng
Copyright Statement
In Copyright
Reuse Permissions
All Rights Reserved
Primary Member of
ASU Electronic Theses and Dissertations
Peer-reviewed
No
Open Access
No
Handle
https://hdl.handle.net/2286/R.I.24798
Statement of Responsibility
by Adithya Rajan
Description Source
Viewed on June 26, 2014
Level of coding
full
Note
Partial requirement for: Ph.D., Arizona State University, 2014
Note type
thesis
Includes bibliographical references (p. 128-133)
Note type
bibliography
Field of study: Electrical engineering
System Created
  • 2014-06-09 02:06:52
System Modified
  • 2021-08-30 01:36:01
  •     
  • 1 year 4 months ago
Additional Formats
  • OAI Dublin Core
  • MODS XML

Quick actions

About this item

Overview
 Copy permalink

Explore this item

Explore Document

Share this content

Feedback

ASU University Technology Office Arizona State University.
KEEP

Contact Us

Repository Services
Home KEEP PRISM ASU Research Data Repository
Resources
Terms of Deposit Sharing Materials: ASU Digital Repository Guide Open Access at ASU

The ASU Library acknowledges the twenty-three Native Nations that have inhabited this land for centuries. Arizona State University's four campuses are located in the Salt River Valley on ancestral territories of Indigenous peoples, including the Akimel O’odham (Pima) and Pee Posh (Maricopa) Indian Communities, whose care and keeping of these lands allows us to be here today. ASU Library acknowledges the sovereignty of these nations and seeks to foster an environment of success and possibility for Native American students and patrons. We are advocates for the incorporation of Indigenous knowledge systems and research methodologies within contemporary library practice. ASU Library welcomes members of the Akimel O’odham and Pee Posh, and all Native nations to the Library.

Number one in the U.S. for innovation. ASU ahead of MIT and Stanford. - U.S. News and World Report, 8 years, 2016-2023
Maps and Locations Jobs Directory Contact ASU My ASU
Copyright and Trademark Accessibility Privacy Terms of Use Emergency COVID-19 Information