title: Signal design using nonlinear oscillators and evolutionary algorithms: application to phase-locked loop disruption.
abstract: This work describes an approach for efficiently shaping the response characteristics of a fixed dynamical system by forcing with a designed input. We obtain improved inputs by using an evolutionary algorithm to search a space of possible waveforms generated by a set of nonlinear, ordinary differential equations (ODEs). Good solutions are those that result in a desired system response subject to some input efficiency constraint, such as signal power. In particular, we seek to find inputs that best disrupt a phase-locked loop (PLL). Three sets of nonlinear ODEs are investigated and found to have different disruption capabilities against a model PLL. These differences are explored and implications for their use as input signal models are discussed. The PLL was chosen here as an archetypal example but the approach has broad applicability to any input∕output system for which a desired input cannot be obtained analytically.
authors: Naval Research Laboratory, Optical Sciences Division, 4555 Overlook Avenue South West, Washington, DC 20375, USA. colin.olson.ctr@nrl.navy.mil
authors: C C
authors: CC
authors: Olson
authors: J M
authors: JM
authors: Nichols
authors: J V
authors: JV
authors: Michalowicz
authors: F
authors: F
authors: Bucholtz