Adaptive bistable stochastic resonance based weak signal reception in additive Laplacian noise

Abstract

Weak signal reception is a very important and challenging problem for communication systems especially in the presence of non-Gaussian noise, and in which case the performance of optimal linear correlated receiver degrades dramatically. Aiming at this, a novel uncorrelated reception scheme based on adaptive bistable stochastic resonance (ABSR) for a weak signal in additive Laplacian noise is investigated. By analyzing the key issue that the quantitative cooperative resonance matching relationship between the characteristics of the noisy signal and the nonlinear bistable system, an analytical expression of the bistable system parameters is derived. On this basis, by means of bistable system parameters self-adaptive adjustment, the counterintuitive stochastic resonance (SR) phenomenon can be easily generated at which the random noise is changed into a benefit to assist signal transmission. Finally, it is demonstrated that approximately 8dB bit error ratio (BER) performance improvement for the ABSR-based uncorrelated receiver when compared with the traditional uncorrelated receiver at low signal to noise ratio (SNR) conditions varying from −30dB to −5dB.