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Simplified formula for mean cycle-slip time of phase-locked loops with steady-state phase error.Previous work shows that the mean time from lock to a slipped cycle of a phase-locked loop is given by a certain double integral. Accurate numerical evaluation of this formula for the second-order loop is extremely vexing because the difference between exponentially large quantities is involved. The presented article demonstrates a method in which a much-reduced precision program can be used to obtain the mean first-cycle slip time for a loop of arbitrary degree tracking at a specified SNR and steady-state phase error. It also presents a simple approximate formula that is asymptotically tight at higher loop SNR.
Document ID
19720049545
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Tausworthe, R. C.
(California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 6, 2013
Publication Date
June 1, 1972
Publication Information
Publication: IEEE Transactions on Communications
Volume: COM-20
Subject Category
Electronics
Accession Number
72A33211
Distribution Limits
Public
Copyright
Other

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