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We propose a mathematical model for the phase-locking of a mode-locked laser. Based on the standard phase-locked loop (PLL) theory, a detailed mathematical model is developed. By applying the model to a system of phase-locking of a mode-locked laser, we analyze its three basic characteristics: the final steady error, the transient response, and the stability. An experimental phase-locking system is...
This paper presents a systematic, hierarchical, optimization based semi-formal equivalence checking methodology for large analog/mixed signal systems such as PLLs, ADCs and I/O's. We verify the equivalence between a behavioral model and its electrical implementation over a limited, but highly likely, input space defined as the Constrained Behavioral Input Space. Further, we clearly distinguish between...
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