Signal Distortion Compensation of Linear Time-Invariant Measurement System

2000 ◽  
Author(s):  
Changting Wang ◽  
Robert X. Gao
Keyword(s):  
Measurement System ◽  
Precision Measurement ◽  
Linear Time ◽  
Signal Distortion ◽  
Charge Amplifier ◽  
Distortion Compensation ◽  
Linear Time Invariant ◽  
Lti System ◽  
Invariant Measurement ◽  
Time Invariant

Abstract Non-distortion is an important aspect in precision measurement, calibration and signal processing. In this paper, the distortion error of a linear time-invariant measurement system is derived for periodical and non-periodical signal inputs, using Fourier Series and Fourier Transformation. The signal distortion is measured by the error-to-signal energy ratio. A charge amplifier circuit has been analyzed as an example, which shows that the distortion of an LTI system can not be simply neglected if precision measurement is required. Direct compensation and adaptive control methods have been discussed to reduce the LTI system distortion. The applications of these two methods to the charge amplifier design are discussed, which demonstrated good results.

scholarly journals An algorithm using genetic programming for the compensation of nonlinear distortion based on wiener system model

2004 ◽  
Vol 17 (2) ◽  
pp. 219-229
Author(s):  
Changsong Xie ◽  
Li Xuhui
Keyword(s):  
Genetic Programming ◽  
Nonlinear Distortion ◽  
Linear Time ◽  
Iteration Algorithm ◽  
Wiener Model ◽  
Distortion Compensation ◽  
Object System ◽  
Linear Time Invariant ◽  
Wiener System ◽  
Time Invariant

In this paper we presented an iteration algorithm using genetic programming (GP) to get the Wiener model of a nonlinear system and then to compensate the nonlinear distortion. The GP is used to identify the linear time-invariant (LTI) part and memory less nonlinear (MLNL) part of the Wiener model of the object system. By means of iteration, the identification precision will be improved gradually with the iteration steps. In order to compensate the non linearity a distortion compensation function (DCF) will be estimated also by means of GP. If the object system can be well described using Wiener model, this algorithm converges. The experiment results show that the compensation precision is fairly high.

A Higher-Order Method for Dynamic Optimization of Controllable LTI Systems

2011 ◽  
Author(s):  
Damiano Zanotto ◽  
Sunil K. Agrawal ◽  
Giulio Rosati
Keyword(s):  
Differential Equations ◽  
Dynamic Optimization ◽  
Linear Time ◽  
Traditional Approach ◽  
Linear Time Invariant ◽  
System P ◽  
Lti System ◽  
Higher Order Method ◽  
Time Invariant ◽  
Controllability Index

This work describes a new procedure for dynamic optimization of controllable Linear time-invariant (LTI) systems. Unlike the traditional approach, which results in 2n first order differential equations, the method proposed here yields a set of m differential equations, whose highest order is twice the controllability index of the system p. This paper generalizes the approach presented in a previous work [1] to any controllable LTI system.

Basics to Multirate Systems

2009 ◽  
pp. 23-63
Author(s):  
Ljiljana Milic
Keyword(s):  
Linear Time ◽  
Sampling Rate ◽  
Multirate Systems ◽  
Linear Time Invariant ◽  
Lti System ◽  
Linear Time Invariant Systems ◽  
Time Invariant ◽  
The Given

Linear time-invariant systems operate at a single sampling rate i.e. the sampling rate is the same at the input and at the output of the system, and at all the nodes inside the system. Thus, in an LTI system, the sampling rate doesn’t change in different stages of the system. Systems that use different sampling rates at different stages are called the multirate systems. The multirate techniques are used to convert the given sampling rate to the desired sampling rate, and to provide different sampling rates through the system without destroying the signal components of interest. In this chapter, we consider the sampling rate alterations when changing the sampling rate by an integer factor. We describe the basic sampling rate alteration operations, and the effects of those operations on the spectrum of the signal.

Reduction in the Number of Gain-Scheduling Parameters Using Dimensional Transformation

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
Haftay Hailu ◽  
Sean Brennan
Keyword(s):  
Linear Time ◽  
Gain Scheduling ◽  
Linear Parameter Varying ◽  
Linear Time Invariant ◽  
Lti System ◽  
Gain Scheduled Controller ◽  
Parameter Dependent ◽  
Time Invariant ◽  
Linear Parameter Varying System ◽  
Gain Scheduled

A method is presented that can often reduce the number of scheduling parameters for gain-scheduled controller implementation by transformation of the system representation using parameter-dependent dimensional transformations. In some cases, the reduction in parameter dependence is so significant that a linear parameter-varying system can be transformed to an equivalent linear time invariant (LTI) system, and a simple example of this is given. A general analysis of the parameter-dependent dimensional transformation using a matrix-based approach is then presented. It is shown that, while some transformations simplify gain scheduling, others may increase the number of scheduling parameters. This work explores the mathematical conditions causing an increase or decrease in varying parameters resulting from a given transformation, thereby allowing one to seek transformations that most reduce the number of gain-scheduled parameters in the controller synthesis step.

Measurement of projectile’s in-bore yaw based on the optical lever principle

2017 ◽  
Vol 232 (12) ◽  
pp. 2378-2394 ◽  
Author(s):  
Qinbo Zhou ◽  
Xiaoting Rui ◽  
Fufeng Yang ◽  
Guoping Wang ◽  
Tianxiong Tu ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Ray Tracing ◽  
Measurement System ◽  
Optimization Problem ◽  
Linear Time ◽  
Optimal Layout ◽  
Linear Time Invariant ◽  
Optical Lever ◽  
Time Invariant

The initial disturbance of a projectile emerging from the gun muzzle is a major reason for the projectile dispersion. Therefore, measurements of initial disturbances have a great value in improving the understanding. This paper establishes a mathematical model of the measurement system for the projectile’s in-bore orientation, by utilizing the theory of ray tracing and kinematics. The layout of the optical apparatuses is attributed to an optimization problem, and the genetic algorithm is implemented to acquire an optimal layout scheme, which is further verified by test. Also, the linear time-invariant characteristics of the measurement system are numerically verified in the context of spatial ray. These investigations will provide a technical support for the experiment, the optical apparatuses’ layout and calibration of the measurement system.

scholarly journals Active Unmatched Disturbance Cancellation and Estimation by State--Derivative Feedback for Plants Modeled as an LTI System

2018 ◽  
Vol 8 (2) ◽  
pp. 237-249
Author(s):  
Halil Ibrahim Basturk
Keyword(s):  
Linear Time ◽  
Position Information ◽  
Linear Time Invariant ◽  
Lti System ◽  
Disturbance Cancellation ◽  
Disturbance Model ◽  
The Stability ◽  
Linear Time Invariant System ◽  
Time Invariant ◽  
Two Degree Of Freedom

We design adaptive algorithms for both cancellation and estimation of unknown periodic disturbance, by feedback of state--derivatives ( i.e.,} without position information for mechanical systems) for the plants which are modeled as a linear time invariant system. We consider a series of unmatched unknown sinusoidal signals as the disturbance.The first step of the design consists of the parametrization of the disturbance model and the development of observer filters.The result obtained in this step allows us to use adaptive control techniques for the solution of the problem.In order to handle the unmatched condition, a backstepping technique is employed. Since the partial measurement of the virtual inputs is not available, we design a state observer and the estimates of these signals are used in the backstepping design.Finally, the stability of the equilibrium of the adaptive closed loop system with the convergence of states is proven.As a numerical example, a two-degree of freedom system is considered and the effectiveness of the algorithms are shown.

scholarly journals Identification of Linear Time Invariant Systems Using FMCW Signals and Stretch Processing Receivers

2019 ◽  
Vol 8 (2) ◽  
pp. 35
Author(s):  
Stephan Häfner ◽  
Reiner Thomä
Keyword(s):  
Continuous Wave ◽  
Linear Time ◽  
Practical Applications ◽  
Fmcw Radar ◽  
Linear Time Invariant ◽  
Time Bandwidth Product ◽  
Lti System ◽  
Baseband Signal ◽  
Linear Time Invariant Systems ◽  
Time Invariant

The paper deals with the identification of linear time invariant (LTI) systems by a special observer. An observer emitting an frequency modulated continuous wave (FMCW) signal and having a stretch processor as receiver will be considered for system identification. A thorough derivation of the gathered baseband signal for arbitrary LTI systems will be given. It is shown, that the received signal is approximately given by the transfer function of the LTI system over the frequency sweep of the FMCW signal. The proof relies on an infinite large time-bandwidth product of the transmit signal, such that errors remain in practical applications with a finite time-bandwidth product. Monte–Carlo simulations are conducted to verify the approximation and to quantify its accuracy and remaining errors. The findings are important for e.g. calibration or derivation of a device model in FMCW radar applications.

scholarly journals On a parameter adaptive self-organizing system in the presence of large outliers in observations

2009 ◽  
Vol 50 ◽  
Author(s):  
Rimantas Pupeikis
Keyword(s):  
Gaussian Noise ◽  
Linear Time ◽  
Minimum Variance ◽  
Linear Time Invariant ◽  
Lti System ◽  
Current Value ◽  
Is Development ◽  
Time Invariant ◽  
The Given ◽  
Time Linear

The aim of the given paper is development of a minimum variance control (MVC) approach for a closed-loopdiscrete-time linear time-invariant (LTI) system when the parameters of a dynamic system as well as that of a controller are not known and ought to be estimated by processing observations in the case of additive Gaussian noise on the output with contaminating outliers uniformly spread in it. Afterwards, the current value of the control signal is found in each operation, and it is used to generate the output of the system. The results of numerical simulation by computer are presented and discussed here, too.

ON EFFICIENCY OF EKF FOR PARAMETER ESTIMATION OF LTI SYSTEM FROM NON-STATIONARY ACCELERATION RESPONSES

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Swarup Mahato ◽  
Arunasis Chakraborty
Keyword(s):  
Parameter Estimation ◽  
Linear Time ◽  
Modal Parameters ◽  
Acceleration Response ◽  
Identification Scheme ◽  
Linear Time Invariant ◽  
Lti System ◽  
Eigen Values ◽  
Predictor Corrector ◽  
Time Invariant

Parameters of the linear time invariant (LTI) dynamic system using extended Kalman filter (EKF) are identified in this work. The efficiency of EKF for parameter estimation of LTI system is studied. For this purpose, a three-story steel frame is used in the laboratory, and the recorded ground motion is applied to measure the acceleration response at different floor levels. Using these responses, the EKF-based predictor-corrector algorithm is used to identify the modal parameters. It has been observed that the EKF-based identification scheme can converge to different system matrices (i.e., mass and stiffness) in different experiments for the same structure. However, their eigen values (i.e., natural frequency and mode) remain the same.

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