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Verifying inevitability of phase-locking in a charge pump phase lock loop using sum of squares programming

Asad, H. and Jones, K. (2015). Verifying inevitability of phase-locking in a charge pump phase lock loop using sum of squares programming. In: Proceedings of the 25th edition on Great Lakes Symposium on VLSI. (pp. 295-300). New York, USA: ACM. ISBN 9781450334747

Abstract

Phase-lockinginachargepump(CP)phaselockloop(PLL)is said to be inevitable if all possible states of the CP PLL eventually converge to the equilibrium where the input and output phases are in lock. We verify this property for a CP PLL using a mixed deductive and bounded verification methodology.This involves a positivity check of polynomial inequalities (which is an NP-Hard problem) so we use the sound but incomplete Sum of Squares (SOS) relaxation algorithm to provide a numerical solution.

Publication Type: Book Section
Additional Information: © Hafiz Ul Azad and Kevin D. Jones | ACM {2015}. This is the author's version of the work. It is posted here for your personal use. Not for redistribution. The definitive Version of Record was published in Proceedings of the 25th edition on Great Lakes Symposium on VLSI, http://dx.doi.org/10.1145/2742060.2742072.
Subjects: T Technology > TC Hydraulic engineering. Ocean engineering
Departments: School of Mathematics, Computer Science & Engineering
URI: http://openaccess.city.ac.uk/id/eprint/12325
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