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NOISE BENEFITS IN NONLINEAR SIGNAL PROCESSING
by
Ashok Patel
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(ELECTRICAL ENGINEERING)
December 2009
Copyright 2009 Ashok Patel
Object Description
| Title | Noise benefits in nonlinear signal processing |
| Author | Patel, Ashok |
| Author email | ashokpat@usc.edu; batspatel@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Electrical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2009-10-26 |
| Date submitted | 2009 |
| Restricted until | Unrestricted |
| Date published | 2009-11-24 |
| Advisor (committee chair) | Kosko, Bart |
| Advisor (committee member) |
Jonckheere, Edmond Mikulevicius, Remigijus |
| Abstract | This dissertation shows how noise can benefit nonlinear signal processing. These "stochastic resonance'' results include deriving necessary and sufficient conditions for noise benefits, optimal noise distributions, and algorithms that find the optimal or near-optimal noise. The results apply to broad classes of signal and noise distributions. Applications include Neyman-Pearson and maximum-likelihood signal detection in single detectors and in parallel arrays, digital watermark decoding, retinal signal detection, and signal detection in feedback neurons. |
| Keyword | stochastic resonance; optimal noise; noise-enhanced signal detection; Neyman-Pearson detection; noise benefits in optimal signal detection; detection probability; inequality-constrained statistical decisions; threshold signal detection; maximum-likelihood detection; alpha-stable noise; error probability; suprathreshold stochastic resonance; nonlinear hypothesis testing, nonlinear correlation detection; array-based signal detection; quantizer noise; digital watermark decoding; neural signal detection; mutual information; retinal neuron models; Levy noise; spiking neuron models; continuous neuron models |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m2762 |
| Rights | Patel, Ashok |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Patel-3377 |
| Archival file | uscthesesreloadpub_Volume26/etd-Patel-3377.pdf |
Description
| Title | Page 1 |
| Full text | NOISE BENEFITS IN NONLINEAR SIGNAL PROCESSING by Ashok Patel A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (ELECTRICAL ENGINEERING) December 2009 Copyright 2009 Ashok Patel |
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