A quadratic polynomial receiving scheme for sine signals enhanced by stochastic resonance

Abstract

Aiming at the reception of the intermediate frequency signal of sine wave of radio and communication system at extremely low signal-to-noise ratio (SNR), a quadratic polynomial receiving scheme for sine signals enhanced by stochastic resonance (SR) is proposed. Through analyzing the mechanism of sine signals enhanced by SR and introducing the decision time, the analytic periodic stable solution with time parameters of the Fokker-Planck Equation (FPE) is obtained through converting the non-autonomous FPE into an autonomous equation. Based on the probability density function of the particle of SR output, a quadratic polynomial receiving scheme is proposed by analyzing the feature of energy detector and matching filter receiver. By maximizng the deflection coefficient, the binomial coefficients and the test statistic are obtained. For further reducing the bit error, by combining the thought of " the average of <i>N</i> samples”, a quadratic polynomial receiving scheme for sine signals enhanced by SR is proposed through the hypothesis under Gaussian distribution approximation of the law of large <i>N</i>. And the conclusion is obtained as follows. When <i>N</i> is 500 and the SNR is greater than –17 dB, the bit error rate is less than 2.2 × 10<sup>–2</sup>, under the constraint of the parameters of the optimally matched SR.

The Channel Fading Influence of the Receiver Operating Characteristics of the TT&C Receiver Based on the Dual-Sequence Frequency Hopping

“…Benzi et al [13] put forward the SR concept in their research on the changes of the Earth's glacial period first, and then, the phenomenon was verified in the fields of physics, biology, and electronics [14][15][16][17][18]. So the SR is used to the signal detection and reception when the signal strength is lower than the decision threshold [19][20][21][22][23][24][25][26]. The output probability density function (PDF) and receiver operating characteristic (ROC) curve of SR driven by an ideal DSFH signal are studied [6,27].…”

Adaptive Modulation Stochastic Resonance of Two-Dimensional Asymmetric Bistable System and its Application in Bearing Fault Diagnosis

“…The stochastic resonance phenomenon occurs when the synergy between the periodic driving force, the noise and the parameters of stochastic resonance system is achieved, which transform the noise energy to the low-frequency target signal thus improving the output signal-to-noise ratio and facilitating the detection and extraction effect of the signal [3]. Therefore, stochastic resonance has become a typical noiseassisted signal processing method, which has the feature of using noise to enhance the periodic signal and has been widely used and studied in the weak signal detection [4][5][6]. Through the unremitting efforts of a large number of scholars, stochastic resonance technology is becoming more and more mature, but the searching a system with excellent performance is still the direction of many scholars' efforts, which can be well applied to various practical engineering applications.…”

Research on Stochastic Resonance Detection Method for Periodic Signals under Low SNR and α-Stable Noise

“…e detection of BPAM, BFSK, and BPSK signal using SR is realized in [11,12]. In the DSFH communication mode, the feasibility of SR is demonstrated and the quantitative results to a suitable range of SNR and BER are given in [13,14].…”