Comments on the shortcomings of predicting the precision of Cavalieri volume estimates based upon assumed measurement functions

It is well known that the estimation of an object's volume by means of serial cross-sections, the so-called Cavalieri method, yields an unbiased estimate. But by itself it provides no means by which to estimate how precise this estimate is unless the shape of the volume is fully known beforehand. This knowledge can only be partially determined from the serial section information that is collected. Methods have been developed that claim to surmount this difficulty by using the serial section data to create a mathematical model of the volume's shape properties. The model then is used to estimate (predict) the precision of the volume estimate (its CE) from the single set of data available. Unfortunately, the theory underlying the model is flawed and so the model itself amounts to no more than an unsubstantiated guess about the shape of the volume. Therefore, the precision of the volume estimates that one obtains from the method is only as good as the model and this cannot be ascertained from the single set of acquired data. In this letter I explain the inadequacies of the modelling method. I suggest that it be used only with caution, if at all. Instead I suggest two alternative ways to predict the CE, one that is based upon a rule-of-thumb approach to the object's shape, and another that is based upon spectral analysis of the measurement function and that is easy to implement with available computer software.     

一种便于观测的信号抽样及复原方法

利用倍频器，将重复频率与连续信号ｔ（ｔ）的频率相同的方波进行若干次倍频后，对连续信号进行抽样，从而获得离散的抽样信号ｆｓ（ｔ），再利用有源低通滤波器使其复原成连续信号ｆ（ｔ）。避免了一般抽样器不便于观测的缺点。     

开关电流技术：一种新的模拟抽样数据处理方法

开关电流（ＳＩ）技术是一种新的模拟抽样数据处理技术，介绍了开关电流电路的基本单元结构，讨论了目前开关电流技术中存在的问题及其解决方法。对开关电流技术与开关电容技术的一些基本特征进行了比较，ＳＩ技术不仅结构简单，而且与标准ＣＭＯＳ工艺兼容，可望替代开关电容电路。     

EMD消噪在取样光栅滤波器设计中的应用

通过改变取样光栅的各参数来仿真其反射谱,调试出四种基于取样光纤光栅的光学梳状滤波器。为了优化取样光栅梳状滤波器功能,提出了利用经验模态分解对信号进行滤波分析和降噪处理的方法。该方法是将经验模态分解得到的固有模态函数,分为信号分量起主导作用模态与噪音分量起主导作用模态,去除噪音分量起主导作用模态,并利用反映信号主要结构的模态对信号进行重构实现去噪。文中最后以一种含噪声的反射谱为例,进行降噪后得到平滑的反射谱。     

Global Robust Stabilization via Sampled‐Data Output Feedback for Nonlinear Systems with Uncertain Measurement and Control Gains

This paper studies the problem of using a sampled‐data output feedback controller to globally stabilize a class of nonlinear systems with uncertain measurement and control gains. A reduced‐order observer and a linear output control law, both in the sampled‐data form, are designed without the precise knowledge of the measurement and control gains except for their bounds. The observer gains are chosen recursively in a delicate manner by utilizing the output feedback domination approach. The allowable sampling period is determined by estimating and restraining the growth of the system states under a zero‐order‐hold input with the help of the Gronwall–Bellman Inequality. A DC–DC buck power converter as a real‐life example will be shown by numerical simulations to demonstrate the effectiveness of the proposed control method.     

Sampled‐Data Approach to State Estimation Performance for Heterogeneous Distributed System with Fault

This paper considers the state estimation performance for heterogeneous distributed system with fault based on sampled‐data measurement. Firstly, a performance index for distributed state estimation is proposed. Based on the sampled‐data measurement of the heterogeneous distributed system, distributed state estimators are constructed. It is proved that by analyzing the distributed state estimation error systems, the required performance index for overall state estimation can be obtained using linear matrix inequality method. Finally, a simulation example is used to illustrate the effectiveness of the proposed theoretical scheme.     

取样光栅滤波的新型光纤甲烷差分检测系统

综合应用取样光纤光栅滤波和改进的差分吸收检测技术,实现了对甲烷气体等距分布的多条近红外吸收线的同时测量,完善了差分吸收技术应用于弱气体检测的理论。基于分子光谱学理论对谱带精细结构的分析,结合取样光纤光栅的梳状滤波思想,以1.66μm附近甲烷泛频(2v3)吸收光谱R支中的R4线为中心,同时对R3、R4和R5三条吸收线进行测量。为消除光源功率波动对测量结果的影响,利用两个同类型的取样光纤光栅实现对气体浓度的差分吸收检测。选用中心波长在R4附近的啁啾光纤光栅作为光学带通滤波器,利用PINPD实现对三条吸收线处光强的同时测量,由比值处理消除光源功率波动对测量结果的影响。通过实验验证了系统的可行性。     

Global stability results for systems under sampled‐data control

In this work sufficient conditions for uniform input‐to‐output stability and uniform input‐to‐state stability are presented for finite‐dimensional systems under feedback control with zero‐order hold. The conditions are expressed by means of single and vector Lyapunov functions. Copyright © 2008 John Wiley & Sons, Ltd.     

Minimum‐variance control of astronomical adaptive optic systems with actuator dynamics under synchronous and asynchronous sampling

Adaptive optic (AO) systems are now routinely used in ground‐based telescopes to counter the effects of atmospheric turbulence. A deformable mirror (DM) generates a correction wavefront, which is subtracted from the turbulent wavefront using measurements of the residual phase provided by a wavefront sensor (WFS). Minimizing the variance of the residual phase defines a sampled data control problem combining a continuous time minimum‐variance (MV) performance criterion with a discrete‐time controller. For a fairly general class of linear time‐invariant DM and turbulence WFS models, this control problem can be transformed into an equivalent discrete‐time LQ optimization problem involving a set of (discrete‐time) control‐sufficient statistics of the incoming continuous‐time turbulence. This paper shows how to constructively solve this MV problem in the presence of DM's dynamics, starting from continuous‐time models of DM and turbulence. This result is extended to the case of asynchronous DM/WFS sampling. An illustrative application to optimal control of tip‐tilt turbulent modes for the European extremely large telescope in the presence of first‐order DM's dynamics is presented. Copyright © 2010 John Wiley & Sons, Ltd.