纳米通道单分子检测低噪音电流放大器系统的研究

研制了一种新型微电流放大器系统,用于检测琢-Hemolysin生物蛋白纳米通道在单分子检测实验中所产生的微弱电流信号(<100 pA)。在1 mol/L KCl、10 mmol/L Tris-HCl,1 mmol/L EDTA的缓冲液(pH 8.0)中测定了DNA-PEG-DNA交联物与纳米通道的穿越和碰撞信号。实验中使用3 kHz贝塞尔滤波器和100 kHz模数转换器来对电流进行采样。结果表明,此放大器系统能够有效降低电流记录过程中的噪音,有利于分辨待测物分子与纳米通道作用所产生的较小阻断的电流信号(<10 pA)。     

Numerical identification of constitutive functions in scalar nonlinear convection–diffusion equations with application to batch sedimentation

A fast and simple method for the identification of nonlinear constitutive functions in scalar convection–diffusion equations is presented. No a priori information is needed on the form of the constitutive functions, which are obtained as continuous piecewise affine functions. Accurate and frequent measurements in space and time are required. Synthetic data of batch sedimentation of particles in a liquid and traffic flow are chosen as examples where a convective flux function and a function modelling compression are identified. Real data should first undergo a denoising procedure, which is also presented. It consists of a sequence of convex optimization problems, whose constraints originate from fundamental physical properties. The methodology is applied on data from a batch sedimentation experiment of activated sludge in wastewater treatment.     

A total variation based approach to correcting surface coil magnetic resonance images

Magnetic resonance images which are corrupted by noise and by smooth modulations are corrected using a variational formulation incorporating a total variation like penalty for the image and a high order penalty for the modulation. The optimality system is derived and numerically discretized. The cost functional used is non-convex, but it possesses a bilinear structure which allows the ambiguity among solutions to be resolved technically by regularization and practically by normalizing the maximum value of the modulation. Since the cost is convex in each single argument, convex analysis is used to formulate the optimality condition for the image in terms of a primal-dual system. To solve the optimality system, a nonlinear Gauss-Seidel outer iteration is used in which the cost is minimized with respect to one variable after the other using an inner generalized Newton iteration. Favorable computational results are shown for artificial phantoms as well as for realistic magnetic resonance images. Reported computational times demonstrate the feasibility of the approach in practice.     

Nonlocal maximum likelihood estimation method for denoising multiple-coil magnetic resonance images

Effective denoising is vital for proper analysis and accurate quantitative measurements from magnetic resonance (MR) images. Even though many methods were proposed to denoise MR images, only few deal with the estimation of true signal from MR images acquired with phased-array coils. If the magnitude data from phased array coils are reconstructed as the root sum of squares, in the absence of noise correlations and subsampling, the data is assumed to follow a non central-χ distribution. However, when the k-space is subsampled to increase the acquisition speed (as in GRAPPA like methods), noise becomes spatially varying. In this note, we propose a method to denoise multiple-coil acquired MR images. Both the non central-χ distribution and the spatially varying nature of the noise is taken into account in the proposed method. Experiments were conducted on both simulated and real data sets to validate and to demonstrate the effectiveness of the proposed method.     

小波变换对OCT图像的降噪处理

通过分析光学相干层析成像系统中的噪音源以及不同噪音对成像质量的影响，利用小波变换的方法，结合软阈值滤波对图像去噪，消除噪音对图像的干扰，处理后图像变得清晰了，图像质量得以改善，表明该方法能达到减小图像噪音的目的.     

Removing Spikes from Voltammetric Curves in the Presence of Random Noise

The presence of noises and spikes in the experimental curve generates problems in the process of visualization and interpretation of the data. The procedure for spikes removal from voltammetric curves which are additionally distorted by random noise of different amplitude is proposed. The developed method bases on the assumption that spikes are measuring points corrupted by the gross errors. The statistical tests for detecting such errors are applied. Recognized spikes are replaced by points obtained by polynomial interpolation. The method eliminates close to 100% of spikes and reconstructs the ideal curve shape better than other algorithms. The considered new procedure gives the improvement of analytical parameters and may be applied for the set of curves in voltammetric experiment. Because the method is statistically valid it may be used for automatic spikes removal in intelligent computerized measuring systems in analytical chemistry.     

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在分析软硬阈值去噪特点的基础上,提出一种改进的小波阈值函数。根据Langmuir探针I-V特性曲线的特点,提出一种改进的标准差估算方法来计算小波阈值。采用基于改进标准差和改进阈值函数的小波对探针特性曲线进行去噪,仿真结果表明,改进的方法取得了良好的去噪效果,提高了信号的信噪比,降低了均方误差,去噪效果优于传统阈值去噪方法。     

红外光谱预处理中去噪的研究

红外(IR)光谱由于包含了噪声等各种外界干扰因素.应该先进行光谱预处理,以便降噪,提高分析准确度.本文采用了一种基于最优小波包基的信号去噪算法,该算法根据最小代价原理,采用不同的阈值算法对光谱的高频和低频信号进行量化处理,用量化后的系数重构得到去噪信号,从而达到较好的去噪效果.实验表明,本方法处理后光谱曲线非常光滑、噪声消除效果明显.     

Sub-optimal wavelet denoising of coaveraged spectra employing statistics from individual scans

This paper proposes a novel wavelet denoising method, which exploits the statistics of individual scans acquired in the course of a coaveraging process. The proposed method consists of shrinking the wavelet coefficients of the noisy signal by a factor that minimizes the expected square error with respect to the true signal. Since the true signal is not known, a sub-optimal estimate of the shrinking factor is calculated by using the sample statistics of the acquired scans. It is shown that such an estimate can be generated as the limit value of a recursive formulation. In a simulated example, the performance of the proposed method is seen to be equivalent to the best choice between hard and soft thresholding for different signal-to-noise ratios. Such a conclusion is also supported by an experimental investigation involving near-infrared (NIR) scans of a diesel sample. It is worth emphasizing that this experimental example concerns the removal of actual instrumental noise, in contrast to other case studies in the denoising literature, which usually present simulations with artificial noise. The simulated and experimental cases indicate that, in classic denoising based on wavelet coefficient thresholding, choosing between the hard and soft options is not straightforward and may lead to considerably different outcomes. By resorting to the proposed method, the analyst is not required to make such a critical decision in order to achieve appropriate results.     

Denoising of quadrature ultrasound Doppler signal from bi-directional flow based on matching pursuit

Denoising of Doppler signal is a preliminary and important step in medical ultrasound imaging. To denoise quadrature Doppler signal from bi-directional flow, we propose a novel method based on matching pursuit in this paper. The proposed method is an iterative decomposition algorithm which decomposes the original Doppler signal into a linear expansion of atoms in a time-frequency dictionary. The time-frequency dictionary is similar to Fourier transform domain and the atoms are similar to orthogonal bases in Fourier transform. In each step of the iteration, the atom which gives the largest inner product with the analyzed signal is selected from the dictionary, and the contribution of this atom is subtracted from the Doppler signal. This process is repeated on the residue until the SNR reaches the maximum. The linear expansion of the selected atoms is the denoised signal. Simulations were conducted on a simulation model with a sampling rate of 12.8 kHz. When the original SNRs are 0 dB, 2 dB, 4 dB, 6 dB, 8 dB, 10 dB, the proposed method can improve the SNR for 7.9 dB, 7.8 dB, 7.5 dB, 7.3 dB, 7.05 dB, 6.8 dB respectively, reduce the root mean square error (RMSE) of the mean frequency waveform to 0.0441 kHz, 0.0303 kHz, 0.0245 kHz, 0.0215 kHz, 0.0161 kHz, 0.0125 kHz respectively, and suppress the RMSE of the spectral width waveform to 0.1774 kHz, 0.0591 kHz, 0.0486 kHz, 0.0170 kHz, 0.0145 kHz, 0.0117 kHz respectively. Preliminary in vivo evaluation was also carried out on a healthy 33-year-old male using B-K medical A/S 3535 ultrasound scanner, and the results showed that the proposed method can effectively enhance the Doppler spectrogram.