Some network-theoretic applications of convolutional analysis and linear operators of the Hilbert space of energy signals
Date of Publication
1993
Document Type
Master's Thesis
Degree Name
Master of Science in Electronics and Communications Engineering
Subject Categories
Electrical and Electronics | Electronic Devices and Semiconductor Manufacturing | Other Electrical and Computer Engineering
College
Gokongwei College of Engineering
Department/Unit
Electronics and Communications Engineering
Thesis Adviser
Dr. Felicito Caluyo
Defense Panel Chair
Dr. Severino Diesto
Defense Panel Member
Arnel Andres
Rudy Lin
Abstract/Summary
Using Young's inequality and other properties of continuous-time convolution of absolutely integrable functions, it is shown in Part I that when an absolutely integrable signal is fed into a linear time-invariant BIBO-stable network, the output will be bounded, absolutely integrable and of finite energy even if the input is unbounded and of infinite energy. In Part II, the properties of inner products are utilized to reduce the number of integrators in certain networks. Operator identities specially in the Hilbert space of energy signals, are shown to effect transformations of some networks that are equivalent to and often simpler than the original networks.
Abstract Format
html
Language
English
Format
Accession Number
TG02171
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
71 leaves
Keywords
Convolutions (Mathematics); Linear operators; Hilbert space; Signal processing -- Digital techniques; Network analysis (Planning)
Recommended Citation
Estalilla, A. V. (1993). Some network-theoretic applications of convolutional analysis and linear operators of the Hilbert space of energy signals. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/1506
