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Title: A computer analysis of the single phase-locked loop
Author: Halliday, David
Awarding Body: University of Aberdeen
Current Institution: University of Aberdeen
Date of Award: 1969
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As a great deal of the present analyses of the single phase-locked loop locks both accuracy and theoretical validity it is not considered adequate in describing phase-locked loop dynamics. A simplified mathematical model of the single phase locked loop is built by making use of experimentally obtained data concerning the relative magnitudes of the harmonic components of the voltage-controlled oscillator control voltage. The derived general equation governing the dynamic behavior of the phase-looked loop is then applied to an analogue computer. The characteristic non-sinusoidal beat-note waveform obtained as the output from the phase-detector, comfirms the practical validity of the derived equation. A close correlation is also obtained between the analogue computer results for the pull-in range and pull-in time, and experimentally obtained results. However in order to extend the scope of a computer analysis of the single phase-looked loop two mathematical models were constructed for application to a digital computer. The first model ('PLOPIT') made great use of empirically derived formula and subsequently was rather limited in its overall application. The second model ('TOPPLL') however, was more theoretically founded and subsequently found greater application to all the common orders of phase-looked loops. The rapid means efforded to a system disgner for obtaining reliable information on many different phase-looked loops by use of 'TOPPLL' is regarded as a significant contribution to the design and analysis of the phase-looked loop. Simple empirically derived expressions governing the pull-in and look-in ranges of the phase looked loop have also been obtained. These expressions are regarded as significant contributions to phase-looked loops design as they have been found to be accurate and reliable and may be used in all types of phase-looked loops.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available