Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:A2L-B
Session:
Number:A2L-B1
Optimal entrainment of limit-cycle oscillators and its applications to communication devices
Hisa-Aki Tanaka, Naotaka Sagayama, Takahiro Harada, Istv´an Z. Kiss,
pp.94-99
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
A general theory for designing optimal, energy-efficient injection-locking oscillators is presented. Phase model analysis is combined with variational analysis to derive an injection signal with which frequency-locking of an oscillator is achieved with minimum power injection signal. Optimal signal waveforms are calculated from the phase response curve (the impulse sensitivity function) and a solution to a balancing condition. The theory is tested in various numerical experiments in which oscillations close to and further away from a Hopf bifurcation exhibited nearly sinusoidal and non-sinusoidal optimal waveforms, respectively. Applications of the theory are developed for practical high frequency oscillators, which are quite useful for designing new energy-efficient hardwares in communication devices.