A Simulation and Theoretical Analysis of the Doubly Stochastic Homodyne K Scattering Model
Abstract
A theoretical analysis and computer simulation of the Homodyne K (HK) scattering model was performed. Several mathematical descriptions of the probability density function (PDF) were derived, along with numerical methods for computing the HK PDF. The theoretical analysis showed that, except for special cases, no general tractable solution to the HK PDF seemed to exist; however, accurate PDFs could be generated numerically. HK parameter estimation methods were also developed, and it was shown that these parameters are highly sensitive to the statistical moments of the data. The computer simulation of the HK process verified the theoretical analysis, which describes the interrelationship between the model parameters, the moments, the PDF and power spectral density (PSD) of the process. A byproduct of the computer simulation was the development of an efficient algorithm for the simulation of a correlated low pass approximate gamma process. Many computer tools were also developed including high speed statistical analysis algorithms and special function subroutines.
Notes
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Graduation Date
1989
Semester
Summer
Advisor
Phillips, Ronald
Degree
Doctor of Philosophy (Ph.D.)
College
College of Engineering
Department
Electrical Engineering and Communication Sciences
Format
Pages
171 p.
Language
English
Length of Campus-only Access
None
Access Status
Doctoral Dissertation (Open Access)
Identifier
DP0026687
Subjects
Dissertations, Academic -- Engineering; Engineering -- Dissertations, Academic
STARS Citation
Gatt, Philip, "A Simulation and Theoretical Analysis of the Doubly Stochastic Homodyne K Scattering Model" (1989). Retrospective Theses and Dissertations. 4140.
https://stars.library.ucf.edu/rtd/4140
Accessibility Status
Searchable text