Noise and synchronization of a single active colloid

A two-state oscillator in a viscous liquid is composed of a micron-scale particle whose intrinsic dynamics is defined by linear potentials that undergo configuration-coupled transitions and is externally driven by a piecewise constant periodic force of varying amplitude and frequency. This elementary example of "active matter" has the minimal elements that allow us to study synchronization in the presence of thermal fluctuations. Experiments reveal the presence of synchronized states (and Arnol'd tongues), which we explain using analytical and numerical calculations. The system maintains synchronization by adjusting the phase between the bead and the clock. We discuss the relevance of this model to synchronization in real-world systems, including the role of thermal noise.     

Measurement of single cycle and sub-cycle pulse duration

This paper suggests that the linear interferometric correlation (LFC) can be used to measure pulse duration of a few cycles, single cycle or even sub-cycle light pulse. The relations between pulsewidth and LFC curve are derived for Gaussian- and hyperbolic secant-shaped pules. This new method abandons focusing,frequency doubling and filtering in the traditional second order correlation method, meanwhile the signalto-noise ratio (SNR) is improved.     

多噪声源共同作用下的总烦恼度评价与预测

主要研究了多噪声源共同作用下的混合噪声烦恼度的评价过程与预测方法. 首先, 设计并完成了固定播放时长噪声样本作用下的烦恼度主观评价实验, 获得了人工合成的混合噪声样本作用下的混合噪声烦恼度(亦称总烦恼度) α_T 评价数据与构成混合噪声样本的所有单一噪声样本单独作用时的烦恼度α_i (i=1, 2, 3, ···, K; K为混合噪声样本中单一噪声样本的总数) 评价数据. 随后, 细致分析了两组评价数据之间的关系, 提出在已知α_i 的基础上利用多元线性回归模型预测α_T. 最后, 解决了如何确定模型中对应各α_i的权值ω_i (i=1, 2, 3, ···, K) 的问题. 研究表明, 以所提出的权值确定方法建立的多元线性回归预测模型 能够较为成功地预测混合噪声样本作用下的总烦恼度评价值.     

Second harmonic beam analysis, a sensitive technique to determine the duration of single ultrashort laser pulses

The second harmonic beam generated in a noncollinear arrangement allows the observation of the autocorrelation functio: A compact optical beam splitter and imaging system eliminates alignment problems. Single pulses of 1 ps duration and approximately 10⁻⁸ joule energy are readily observed using an optical multichannel analyser.     

单峰伽玛射线暴光变曲线的FWHM与持续时间之间的关系

探讨了具有单峰结构的伽玛射线暴(GRB)光变曲线的半峰全宽(FWHM)与伽玛暴持续时标T之间的关系.用目前公认的半经验公式——Kocevski, Ryde & Liang (2003)模型对108个单峰光变曲线数据样本进行拟合,选取59个χ²<2的有效拟合样本计算FWHM,然后对FWHM与T进行相关分析.两者能较好地用幂率关系进行拟合为T≈BW^a,其中W为光变曲线的 关键词： 伽玛射线暴(GRB) 光变曲线 相关分析     

Transport for a System with Additive Temporal-Spatial Noise

In this paper, we study the transport of the system with the additive temporal-spatial noise, by two models, i.e., a spatial asymmetry model and a spatial symmetry model. The study shows that the correlation of the additive noise with the space and the spatial asymmetry are ingredients for the transport.     

Noise reduction analysis for a stiffened finite plate

This paper presents an analytical solution for the vibration and acoustic responses of a finite stiffened plate that is covered with decoupling layers and subjected to external excitation. The theory of elasticity is used for the decoupling layer, and the stiffened plate is modeled by the plate theory and Euler–Bernoulli beam equation. Equations are constructed by the boundary conditions at the plate/coating and coating/fluid interfaces. The problem can be solved by the proposed method in this paper. Test verification shows that a good correlation exists between theoretical and test results. Thus, the theoretical study in this paper is correct. Numerical results show that shear waves insignificantly affect the structural vibration level difference (VR) under low frequencies. The noise reduction of the stiffened plate covered with decoupling layers is greatly influenced by the decoupling layer loss factor. A failure region of the vibration level difference is present in the low frequency band of the decoupling layer. Furthermore, the thickness of the decoupling layer significantly affects noise reduction.     

Cancellation of Simulated Environmental Noise as a Tool for Measuring Vocal Performance During Noise Exposure

It can be difficult for the voice clinician to observe or measure how a patient uses his voice in a noisy environment. We consider here a novel method for obtaining this information in the laboratory. Worksite noise and filtered white noise were reproduced over high-fidelity loudspeakers. In this noise, 11 subjects read an instructional text of 1.5 to 2 minutes duration, as if addressing a group of people. Using channel estimation techniques, the site noise was suppressed from the recording, and the voice signal alone was recovered. The attainable noise rejection is limited only by the precision of the experimental setup, which includes the need for the subject to remain still so as not to perturb the estimated acoustic channel. This feasibility study, with 7 female and 4 male subjects, showed that small displacements of the speaker's body, even breathing, impose a practical limit on the attainable noise rejection. The noise rejection was typically 30 dB and maximally 40 dB down over the entire voice spectrum. Recordings thus processed were clean enough to permit voice analysis with the long-time average spectrum and the computerized phonetogram. The effects of site noise on voice sound pressure level, fundamental frequency, long-term average spectrum centroid, phonetogram area, and phonation time were much as expected, but with some interesting differences between females and males.     

Probability Density and Statistical Properties for a Three-State Markovian Noise and Escape of Particles for a System Driven by This Noise

A three-state Markovian noise is investigated. Its probability density and statistical properties are obtained. Escape of particles for a system with potential barrier only driven by this noise is investigated. It is shown that, in some circumstances, this noise can make the particles escape over the potential barrier; but in other circumstances, it cannot. Resonant activation phenomenon appears for the system considered by us.     

Giant-Resonance for a Four-Dimensionally Coupled System with Dichotomous Noise

In this paper, we investigate a four-dimensionally coupled system driven by dichotomous noise. A new kind of stochastic resonance is found, for which the response of the system to the input signal can be hugely intensified.     

Multi-Resonant-Activation for a System Only Driven by Multi-State Noise

We consider the escape of the particles multi-state noise. It is shown that, the noise can make over fluctuating potential barrier for a system only driven by a the particles escape over the fluctuating potential barrier in some circumstances; but in other circumstances, it can not. If the noise can make the particle escape over the fluctuating potential barrier, the mean first passage time （MFPT） can display the phenomenon of multi-resonant-activation. For this phenomenon, there are two kinds of resonant activation to appear. One is resonant activation for the MFPTs as the function of the flipping rates of the fluctuating potential barrier; the other is that for the MFPTs as the functions of the transition rates of the multi-state noise.     

Bell's inequality for a single particle

Bell's inequality must be satisfied by a theory that can be based on local realistic variables. We derive such an inequality and show that it is violated by some quantum mechanical states. These states may be looked upon as pertaining to one particle.This paper is a contribution in honor of Prof. M. Jammer's 80th birthday April 13, 1995.     

Single-threshold sequential algorithm for receiving a signal with unknown duration

We synthesize single-threshold sequential algorithms for detecting and estimating the duration of an arbitrary-shaped signal observed against the background of additive Gaussian white noise. Exact expressions for the characteristics of their operation-efficiency are obtained. It is shown that the analysis-time gain can be obtained for the invariable characteristics of the detection efficiency compared with the well-known algorithms. The influence of reducing the analysis time on the accuracy of single-threshold estimation of the signal duration is studied. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 49, No. 6, pp. 525–536, June 2006.     

发光二极管可靠性的噪声表征

通过对发光二极管内部结构的研究，发现N_t(界面态陷阱密度)和扩散电流比率 是影响发光二极管性能的重要因素，并与器件可靠性有密切关系.器件内部存在的多种噪声 中，低频1/f噪声可表征N_t和扩散电流比率.在深入研究发光二极管工作原理及1 /f噪声载流子数涨落理论和迁移率涨落理论的基础上，建立了发光二极管的电性能模型及1/ f噪声模型.在输入电流宽范围变化的条件下测量了器件的电学噪声，实验结果与理论模型符 合良好.通过对其测量结果分析，深入研究了噪声和发光二极管性能与可靠性的关系，证明 了噪声幅值越大，电流指数越接近于2，器件可靠性越差，失效率则显著增大. 关键词： 1/f噪声 发光二极管 陷阱 光功率     

Noise performance of a feed-forward scheme for carrier-envelope phase stabilization

The noise performance of a feed-forward scheme for carrier-envelope phase stabilization is discussed. This scheme uses an acousto-optic frequency shifter to directly correct for fluctuations of the carrier-envelope phase in a pulse train emitted by a mode-locked laser without manipulating the intracavity dispersion. Generation of zero-offset frequency combs is demonstrated. Furthermore, it is shown that pump laser noise has only a minor effect on the achievable performance. Limited only by the travel time of the acoustic wave in the shifter, pump laser noise can be corrected up to near-megahertz frequencies, which yields superior noise performance compared to traditional feedback operation. Residual phase jitters down to 45 mrad are experimentally verified.     

Noise Immunity of the Compression Procedure for a Narrow-Band Signal

We consider the noise immunity of the compression procedure for a narrow-band signal [1]. The noise immunity is understood as the ratio of the maximum amplitude of the compressed signal to the noise intensity. It is shown that in the case where a narrow-band signal is compressed, this ratio increases if noise is a reverberation interference, remains unchanged if noise is fed to the wide-band input channel of a radar, and decreases if the radar input channel is narrow-band. Results of the calculations and numerical simulations are presented.     

Autoregressive conditional duration as a model for financial market crashes prediction

There is an increasing number of studies showing that financial market crashes can be detected and predicted. The main aim of the research was to develop a technique for crashes prediction based on the analysis of durations between sequent crashes of a certain magnitude of Dow Jones Industrial Average. We have found significant autocorrelation in the series of durations between sequent crashes and suggest autoregressive conditional duration models (ACD) to forecast the crashes. We apply the rolling intervals technique in the sample of more than 400 DJIA crashes in 1896–2011 and repeatedly use the data on 100 sequent crashes to estimate a family of ACD models and calculate forecasts of the one following crash. It appears that the ACD models provide significant predictive power when combined with the inter-event waiting time technique. This suggests that despite the high quality of retrospective predictions, using the technique for real-time forecasting seems rather ineffective, as in the case of every particular crash the specification of the ACD model, which would provide the best quality prediction, is rather hard to identify.     

Variational theory for a single polyelectrolyte chain

Variational methods are applied to a single polyelectrolyte chain. The polymer is modeled as a Gaussian chain with screened electrostatic repulsion between all monomers. As a variational Hamiltonian, the most general Gaussian kernel, including the possibility of a classical or mean polymer path, is employed. The resulting self-consistent equations are systematically solved both for large and small monomer-monomer separations along the chain. In the absence of screening, the polymer is stretched on average. It is described by a straight classical path with Gaussian fluctuations around it. If the electrostatic repulsion is screened, the polymer is isotropically swollen for large separations, and for small separations the polymer correlation function is calculated as an analytic expansion in terms of the monomer-monomer separation along the chain. The electrostatic persistence length and the electrostatic blobsize are inferred from the crossover between distinct scaling ranges. We perform a global analysis of the scaling behavior as a function of the screening length and electrostatic interaction strength , where is the Bjerrum length and A is the distance of charges along the polymer chain. We find three different scaling regimes. i) A Gaussian-persistent regime with Gaussian behavior at small, persistent behavior at intermediate, and isotropically swollen behavior at large length scales. This regime occurs for weakly charged polymers and only for intermediate values of the screening length. The electrostatic persistence length is defined as the crossover length between the persistent and the asymptotically swollen behavior and is given by and thus disagrees with previous (restricted) variational treatments which predict a linear dependence on the screening length .ii) A Gaussian regime with Gaussian behavior at small and isotropically swollen behavior at large length scales. This regime occurs for weakly charged polymers and/or strong screening, and the electrostatic repulsion between monomers only leads to subfluent corrections to Gaussian scaling at small separations. The concept of a persistence length is without meaning in this regime. iii) A persistent regime , where the chain resembles a stretched rod on intermediate and small scales. Here the persistence length is given by the original Odijk prediction, , if the overstretching of the chain is avoided. We also investigate the effects of a finite polymer length and of an additional excluded-volume interaction, which modify the resultant scaling behavior. Applications to experiments and computer simulations are discussed. Received 24 December 1997     

The influence of duration on the perception of pitch in single and simultaneous complex tones

The influence of duration on the virtual pitch of complex tones was measured using an absolute identification paradigm. If performance with two-tone complexes is expressed in terms of a single central frequency-coding noise function, this function is found to depend on duration in about the same way as the pure-tone difference limen function. The function is further found to be a reasonably good predictor of pitch identification performance with multitone complexes. Another experimental finding was that subjects tend to switch to the analytic mode of pitch perception when complex tones are shortened (i.e., they tend to hear the spectral pitches instead of the virtual ones). A third finding was that with simultaneous complex tones the degradation of each pitch percept depends not only on duration and harmonic order of the tone but also on the harmonic order of the other tone.