Noise and Parameter Mismatch in a Ring Network for Sensing Extremely Low Electric Fields

Abstract

Over the past years, we have exploited the bistability features that are commonly found in many individual sensors to develop a network-based [ Acebrón et al. ,  2003 ;  Bulsara et al. ,  2004 ;  In et al. ,  2003a ;  In et al. ,  2003b ;  In et al. ,  2005 ;  In et al. ,  2006 ;  In et al. ,  2012 ;  Palacios et al. ,  2005 ] approach to modeling, designing, and fabricating extremely sensitive magnetic- and electric-field sensors capable of resolving field changes as low as 150[Formula: see text]pT and 100[Formula: see text]fAmps, respectively. Higher sensitivity is achieved by exploiting the symmetry of the network to create infinite-period bifurcations that render the ensuing oscillations highly sensitive to symmetry-breaking effects from external signals. In this paper, we study the effects of noise on the response of a network-based electric-field sensor as well as the effects of parameter mismatch, which appear naturally due to material imperfections and noise. The results show that Signal-to-Noise Ratio (SNR) increases sharply near the onset of the infinite-period bifurcation, and they increase further as the coupling strength in the network increases while passing the threshold that leads to oscillatory behavior. Overall, the SNR indicates that the negative effects of highly contaminated signals are well-mitigated by the sensitivity response of the system. In addition, computer simulations show the network-based system to be robust enough to mismatches in system parameters, while the deviations from the nominal parameter values form regions where the oscillations persist. Noise has a smoothing effect over the boundaries of these regions.