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Analytic model for perturbation analysis in coupled resonator system for electronic nose applications

In this paper we will demonstrate a mechanical signal processing method for simultaneous monitoring of signals from several coupled microresonators. This signal processing method is based on monitoring the relative changes in the eigenvalues of characteristic equation and relating that information back to the system parameters. Since each pattern of shifts in eigenvalues is unique, it is possible to examine an experimentally measured pattern of eigenmode shifts and determine the resonator(s) whose properties have changed and the corresponding amount of perturbations. It will be shown that this technique is capable of detecting perturbations even if direct signals from some of the coupled resonators are not available. The validity of our technique is demonstrated using an array of coupled micro-cantilever resonators that were fabricated in a standard microfabrication process.