Abstract: This paper presents an efficient method for globally optimizing and automating component sizing for rotary traveling wave oscillator arrays. The lumped equivalent model of transmission lines loaded by inverter pairs is evaluated and posynomial functions for oscillation frequency, power dissipation, phase noise, etc. are formulated using transmission line theory. The resulting design problem can be posed as a geometric programming problem, which can be efficiently solved with a convex optimization solver. The proposed method can compute the global optima more efficiently than the traditional iterative scheme and various design problems can be solved with the same circuit model. The globally optimal trade-off curves between competing objectives are also computed to carry out robust designs and quickly explore the design space.

Key words: Rotary traveling wave oscillator array (RTWOA), Clock distribution, Transmission line resonator, Global optimization, Geometric programming (GP)

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