Stochastic resonator to detect bipolar binary pulse amplitude modulated signals; analysis, parameter-induced SR designs and sine-induced SR

Abstract

A stochastic resonator has been considered as an alternative signal processing tool because of its noise-induced performance enhancement ability. Here, the resonator parameters, steady states and transition time of the system are redefined for bipolar binary pulse amplitude modulated (BPAM) signals such that the region in which the resonator benefits from noise can be identified. Simple parameter-induced SR (PSR) designs are then built, based on this analysis in order to configure the resonator in the optimum region. Furthermore, sine-induced SR based on using a periodic signal instead of noise is introduced to enhance the system performance and compared with noise-enhanced SR (NSR). It is shown that sine-induced SR provides a performance enhancement as it needs less power and does not require an adjustment relevant to the background noise. The results indicate that a resonator improves the receiver performance by eliminating noise if its parameters and BPAM characteristics are set accurately as given in the PSR designs, otherwise the resonator can benefit from either a noise as in NSR, or a sine wave as proposed.