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Virginia Tech

False lock in sampled-data phase lock loops

Abstract

dc:description.abstract

The false lock characteristics of a sampled-data phase lock loop containing a phase detector with a sawtooth characteristic are investigated. The ideal processor of data operated on by such a phase detector nonlinearity is derived in open-loop form. A second system is proposed which is shown to approximate the operation of the ideal system with increasing accuracy for decreasing noise variance. The operation of the approximate system is interpreted in geometric terms. This geometric interpretation is used to place a lower bound on the probability of false lock of the ideal system. A suboptimal system which uses feedback and a time-varying linear filter is analyzed. It was necessary to use a computer to perform the integration leading to the probability distribution of the error of this system. The bound on the probability of false lock for the ideal system is compared with the probability of a similar error for the suboptimal system. It is concluded that this bound is a conservative one.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Electrical Engineering
Department dc:contributor.department
Electrical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1968

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Chalkley, Hatcher Edward
Chair dc:contributor.committeechair
  • Grigsby, L. L.
Committee members dc:contributor.committeemember
  • Blackwell, William A.
  • Krauss, H. L.
  • Ebert, Harry K. Jr.
  • VanLandingham, Hugh F.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-05202010-020013
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/37848

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Chalkley, Hatcher Edward. False lock in sampled-data phase lock loops. doctoral thesis, Virginia Tech, 1968. http://hdl.handle.net/10919/37848