Performance analysis of the forgetting factor RLS algorithm

An analysis is given of the performance of the standard forgetting factor recursive least squares (RLS) algorithm when used for tracking time-varying linear regression models. Three basic results are obtained: (1) the ‘P-matrix’ in the algorithm remains bounded if and only if the (time-varying) covariance matrix of the regressors is uniformly non-singular; (2) if so, the parameter tracking error covariance matrix is of the order O(μ + γ²/μ), where μ = 1 - λ, λ is the forgetting factor and γ is a quantity reflecting the speed of the parameter variations; (3) this covariance matrix can be arbitrarily well approximated (for small enough μ) by an expression that is easy to compute.     

基于最小二乘支持向量机的声波测距系统消噪处理

针对声波测距系统噪声复杂,淹没在噪声中的回波难以检测的问题,以机器统计学习理论为基础,采用最小二乘支持向量机(LS-SVM)建立系统模型,实现了声波测距系统异常值的预测和噪声的消除,并与传统的时间序列分析方法建立的自回归滑动平均求和模型(ARIMA)的消噪效果进行了仿真对比。仿真结果表明,利用最小二乘支持向量机建立的模型预测精度高,能有效地抑制声波测距系统中的噪声。     

A continuous-time framework for least squares parameter estimation

This paper proposes a continuous-time framework for the least-squares parameter estimation method through evolution equations. Nonlinear systems in the standard state space representation that are linear in the unknown, constant parameters are investigated. Two estimators are studied. The first one consists of a linear evolution equation while the second one consists of an impulsive linear evolution equation. The paper discusses some theoretical aspects related to the proposed estimators: uniqueness of a solution and an attractive equilibrium point which solves for the unknown parameters. A deterministic framework for the estimation under noisy measurements is proposed using a Sobolev space with negative index to model the noise. The noise can be of large magnitude. Concrete signals issued from an electronic device are used to discuss numerical aspects.     

基于偏最小二乘法的咳嗽信号检測

咳嗽中包含丰富的病理信息,可以为临床诊断提供重要支持。自动咳嗽检测方法有助于提高检测结果的可靠性,并减少人为工作量。但在自然记录的语音信号中,非咳嗽信号的数量远多于咳嗽,语音流中咳嗽信号的自动检测是个典型的类别不均衡问题。针对该问题,提出一种基于偏最小二乘分类法的咳嗽信号检测模型APLSCX。利用非对称偏最小二乘分类器处理类别不均衡数据的能力,对归一化的特征向量进行特征抽取,同时基于低维数据的方差调整分类平面。实验结果显示,与LCM、SVM等主流模型相比,APLSCX兼顾了小类的召回率和精度指标,具有较高的检出率和较低的误警率,更适用于自然语流中咳嗽信号的检测。     

一种应用PCA的人脸图像集识别方法

提出一种适用于同类别的图像子集的类别判断方法。同类别的图像子集经过PCA主特征提取后,选择较大的p个特征值对应的线性无关的特征向量,组成特征矩阵,则同类别的图像子集可以转化成一个特征矩阵,图像子集与特征矩阵一一对应,进而整个图像库能够用矩阵集合来表示。定义一种矩阵间的距离及最小二乘距离,通过计算待测图像子集对应特征矩阵与图像库中不同类别对应特征矩阵之间的距离或最小二乘距离,判断待测试图像子集所属类别。     

催化剂烧炭再生模拟和分析

催化剂烧炭再生是非定态过程。本文建立了绝热反应器内催化剂烧炭模型,利用移动边界正交配置法求解。以结炭的BO2催化剂再生为工作反应,模拟预测与实验值吻合良好。模拟计算表明,用递升进口温度序列烧炭,使再生时间明显缩短。     

A novel clock generation algorithm for system-on-chip based on least common multiple

Due to increase in the number of Intellectual Property (IP) cores, clock generation in current day System-on-Chips (SoCs) is facing a crisis. The conventional method of using a dedicated Phase Locked Loop (PLL) to generate the clock for each IP core is becoming inefficient in terms of power and cost. We propose an algorithm based on Least Common Multiple (LCM) to minimize the number of PLLs required to generate the clocks for the IP cores in a SoC. This is done by finding an Optimum Operating Frequency (OOF) for each IP core within 10% below the maximum operating frequency of the core. The OOF is chosen such that the LCM of the OOF of all the IP cores is minimized. Simulated annealing is used to find the LCM. This LCM is the crucial high frequency from which maximum number of clocks can be derived by clock dividers.     

EFFICIENT DESIGNS FOR NONLINEAR MODELING

In the modeling of physical systems, such as chemical reactions, nonlinear models in a set of unknown parameters are commonly developed. Using the method of least squares for model fitting the efficiency of the process is measured by the large sample variance of the parameter estimates. Designs which yield desirable properties in the linear case, such as factorial and central composite designs, are often utilized in the nonlinear model setting. In this paper a method for transforming these standard designs, yielding more efficient estimators, in the nonlinear model case is proposed. The procedure is demonstrated on a typical kinetic reaction model.