【摘要】：為便于提取多個(gè)chirp信號(hào)疊加噪聲模型中目標(biāo)chirp信號(hào)的參數(shù)信息,研究了該混合信號(hào)激勵(lì)過(guò)阻尼雙穩(wěn)系統(tǒng)的隨機(jī)共振現(xiàn)象。由于chirp信號(hào)在頻域能量的非聚焦性,傳統(tǒng)刻畫(huà)隨機(jī)共振的信噪比指標(biāo)失效。因此,基于chirp信號(hào)在分?jǐn)?shù)階傅里葉變換域上的能量分布特性,對(duì)非線(xiàn)性隨機(jī)動(dòng)力系統(tǒng)的畸變輸出信號(hào)進(jìn)行變換域上的最優(yōu)濾波,給出最優(yōu)分?jǐn)?shù)階傅里葉變換域上的信干比定義形式,并以此作為目標(biāo)chirp信號(hào)經(jīng)過(guò)系統(tǒng)后的性能增益的度量和廣義隨機(jī)共振現(xiàn)象的判別依據(jù)。數(shù)值仿真結(jié)果表明,在存在多個(gè)chirp信號(hào)驅(qū)動(dòng)的過(guò)阻尼雙穩(wěn)系統(tǒng)中,當(dāng)目標(biāo)chirp信號(hào)或噪聲能量不足以激發(fā)粒子躍遷時(shí),干擾chirp信號(hào)能在一定程度上協(xié)助粒子發(fā)生躍遷,產(chǎn)生協(xié)同隨機(jī)共振現(xiàn)象,從而提高對(duì)目標(biāo)chirp信號(hào)的檢測(cè)性能。
[Abstract]:In order to extract the parameter information of target chirp signal in multiple chirp signal superposition noise model, the stochastic resonance phenomenon of overdamped bistable system excited by the mixed signal is studied. Because of the non-focusing of chirp signal in frequency domain, the signal-to-noise ratio (SNR) index of stochastic resonance is invalid. Therefore, based on the energy distribution characteristics of the chirp signal in the fractional Fourier transform domain, the distorted output signal of the nonlinear stochastic dynamic system is optimally filtered in the transform domain. In this paper, the definition of signal-to-interference ratio over the optimal fractional Fourier transform domain is given, which is used as the measure of the performance gain of the target chirp signal after the system and the discriminant basis of the generalized stochastic resonance phenomenon. The numerical simulation results show that in the over-damped bistable system driven by multiple chirp signals, when the target chirp signal or noise energy is not enough to excite the particle transition, the interference chirp signal can assist the particle transition to a certain extent. The cooperative stochastic resonance phenomenon is produced to improve the detection performance of the target chirp signal.
【作者單位】： 四川大學(xué)數(shù)學(xué)學(xué)院;四川師范大學(xué)數(shù)學(xué)與軟件科學(xué)學(xué)院;西南交通大學(xué)數(shù)學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金青年科學(xué)基金資助項(xiàng)目(11301360) 高等學(xué)校博士學(xué)科點(diǎn)專(zhuān)項(xiàng)科研基金資助項(xiàng)目(20120181120089) 四川省教育廳重點(diǎn)項(xiàng)目資助(12ZA137)
【分類(lèi)號(hào)】：TN911.23

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相關(guān)期刊論文 前5條

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