CAJ | 학술논문

针对由加性、乘性噪声和周期信号共同作用的线性过阻尼系统,在噪声交叉关联强度受到时间周期调制的情况下,利用随机平均法推导了系统响应的信噪比的解析表达式.研究发现这类系统比噪声间互不相关或噪声交叉关联强度为常数的线性系统具有更丰富的动力学特性,系统响应的信噪比随交叉关联调制频率的变化出现周期振荡型随机共振,噪声的交叉关联参数导致随机共振现象的多样化.噪声交叉关联强度的时间周期调制的引入有利于提高对微弱周期信号检测的灵敏度和实现对周期信号的频率估计.
침대유가성、승성조성화주기신호공동작용적선성과조니계통,재조성교차관련강도수도시간주기조제적정황하,이용수궤평균법추도료계통향응적신조비적해석표체식.연구발현저류계통비조성간호불상관혹조성교차관련강도위상수적선성계통구유경봉부적동역학특성,계통향응적신조비수교차관련조제빈솔적변화출현주기진탕형수궤공진,조성적교차관련삼수도치수궤공진현상적다양화.조성교차관련강도적시간주기조제적인입유리우제고대미약주기신호검측적령민도화실현대주기신호적빈솔고계.
For an over-damped linear system subjected to correlated additive and multiplicative noise and a periodic signal, when the cross-correlation intensity between noises is a time-periodic function, the analytical expression of the output signal-to-noise ratio (SNR) is derived by means of the stochastic averaging method. It is found that this system has richer dynamic behaviors than the linear systems in which cross-correlation intensity between noises is constant, that the evolution of the output SNR with the cross-correlation modulation frequency presents periodic oscillation, and that the parameters of cross-correlation intensity between noises diversify the stochastic resonance phenomena.The time-periodic modulation of cross-correlation intensity between noises is conductive to enhancing the sensitivity to weak periodic signal detection and implementing the frequency estimation of weak periodic signal.