Numerical simulation of stochastic resonance in bistable system for detecting weak signal 隨機(jī)共振在微弱信號檢測中的數(shù)值仿真
It is very clear that colored noise induced folt in dispersive bistable system shows very interesting phenomenon 色散光學(xué)雙穩(wěn)系統(tǒng)中色噪聲誘導(dǎo)的非平衡相變呈現(xiàn)一些新奇的現(xiàn)象。
Based on the analysis of waveform distortion caused by bistable systems , a recovery formula is proposed , and some other post treatments are considered as a whole job 本文在仔細(xì)地分析了雙穩(wěn)態(tài)系統(tǒng)輸出的線性特性的礎(chǔ)上提出了一個(gè)簡單的反演方法,并發(fā)展了相關(guān)的后處理操作。
Most of the literatures considering analog input are focused on simple harmonic input , because the output waveform from a bistable system is greatly distorted 同時(shí),對于模擬信號輸入的情況,大部分已有的結(jié)果都是集中在單頻信號上的,這主要是由于雙穩(wěn)態(tài)系統(tǒng)的輸出有嚴(yán)重的波形畸變。
From langevin equation , the stochastic resonance characteristics of bistable system were investigated , including the probability density function and other character numbers 通過朗之萬( langevin )方程,本文詳細(xì)研究了雙穩(wěn)態(tài)系統(tǒng)的隨機(jī)共振特性,得出系統(tǒng)穩(wěn)態(tài)輸出的概率密度分布函數(shù)及其數(shù)字特征。
The stochastic resonance phenomenon in a bistable system under the simultaneous action of multiplicative and additive noise and periodic signal is studied by using the theory of signal - to - noise ( snr ) ratio in the adiabatic limit 利用隨機(jī)共振理論,我們研究了在乘性和加性噪聲以及周期性驅(qū)動力共同作用下的雙穩(wěn)系統(tǒng)的隨機(jī)共振現(xiàn)象。
When there is a weak periodic signal is included in a bistable system , the effects of noise on the stochastic resonance in the system is investigated if both multiplicative and additive noise are white noise while the coupling between the two noise terms is colored noise 當(dāng)雙穩(wěn)系統(tǒng)中包含有一個(gè)微弱的周期性信號,而乘性噪聲和加性噪聲都是白噪聲,只有兩種噪聲之間的禍合為色噪聲時(shí),我們研究了系統(tǒng)的噪聲對隨機(jī)共振的影響。
Secondly , combining the unified colored noise approximation and the functional analysis , the steady state distribution function is derived when both multiplicative colored noise and additive white noise are included in a bistable system with colored coupling between two kinds of noise . through the two - state theory , the expression of signal - to - noise ratio ( snr ) is obtained . the phenomenon of stochastic resonance is investigated 其次,我們綜合運(yùn)用統(tǒng)一色噪聲近似和泛函近似的方法,推導(dǎo)了含有乘性色噪聲和加性白噪聲,并且兩種噪聲之間的耦合為色噪聲的雙穩(wěn)非線性系統(tǒng)的定態(tài)分布摘要不同類型的色噪聲對非線性光學(xué)系統(tǒng)的影響函數(shù),然后通過雙態(tài)理論求出系統(tǒng)信噪比的解析表達(dá)式,對系統(tǒng)的隨機(jī)共振現(xiàn)象進(jìn)行分析。
In this thesis , the investigations of the application of stochastic theory in protein motor and fhn neuron model are systematically reported , which include four aspects : effects of random potential on motor protein transport ; noise - induced transition in a fhn neural model ; stochastic resonance in a bistable system subject to multiplicative and additive noise ; coherence and stochastic resonance in a globally coupled fhn neural model 現(xiàn)在我們集中報(bào)導(dǎo)對隨機(jī)理論在生物馬達(dá)蛋白和fhn神經(jīng)模型上的應(yīng)用所進(jìn)行的一系列的研究,主要有以下四個(gè)方面:漲落勢誘導(dǎo)生物馬達(dá)蛋白輸運(yùn);噪聲誘導(dǎo)fhn神經(jīng)模型相變:噪聲關(guān)聯(lián)對雙穩(wěn)系統(tǒng)隨機(jī)共振現(xiàn)象的影響;全局耦合的fhn神經(jīng)網(wǎng)絡(luò)的隨機(jī)共振和同步共振。
In the view of stochastic resonance ( sr ) and signal processing , parameter - turning sr ( psr ) theory and method is proposed and the characteristics of bistable systems are studied . the applications of psr in multi - frequency analog signal processing , digital baseband pulse - amplitude modulation signal transmission and digital carrier modulation signal transmission are investigated . this thesis has also introduced the concepts of parameter - adaptive sr and array - induced sr 本文主要從隨機(jī)共振物理力學(xué)機(jī)理與信號處理的角度,研究了非線性雙穩(wěn)態(tài)系統(tǒng)的數(shù)字特征,提出了參數(shù)調(diào)節(jié)隨機(jī)共振( psr )理論和方法,并將這一理論應(yīng)用到多頻模擬信號處理、數(shù)字基帶信號傳輸和數(shù)字載波調(diào)制信號傳輸中,引入了參數(shù)自適應(yīng)隨機(jī)共振和陣列隨機(jī)共振系統(tǒng)的概念。