信号与线性系统PPT (1).pdf

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1、 Experiment purpose Experiment contentExperiment steps Analysis of experimental results Experiment report writing1Familiar with the concept and superposition of zero input response and zero state response of LTI system。2Understand and master the concepts of step response and impulse response of LTI

2、continuous system,and understand its testing principle and method。3Understand and grasp the influence of dynamic system model parameters on the time domain response of the system。4Familiar with the use of Multisim software。5Familiar with the use of MATLAB software。E Experiment xperiment p purposeurp

3、oseE Experiment xperiment c contentontentMatlab simulation analysis of time domain response of continuous system1.Using MATL AB to realize convolution integral operation of continuous time signal(to find the zero state response of the system).2.The unit step response and unit impulse response of con

4、tinuous LTI system are realized by programming step()and impulse().3.MATLAB was used to find the zero input response of continuous LTI system.Simulation analysis of Multisim circuit for time domain response of continuous system1.Test and analysis of zero input response and zero state response of lar

5、ge inertia second-order LTI continuous system.2.Test the step response and impulse response of the second-order LTI continuous system under the conditions of under damping,critical damping,over damping and instability,compare the difference between the step response and impulse response in different

6、 states,and analyze the corresponding relationship between the parameters of the LTI system model and the characteristic root and its influence on the time-domain response of the system.Large inertia-time constant is about 1 secondExperiment stepsExperiment steps1、Confirmatory experiment2、Programmin

7、g experimentExperimental principle and circuit descriptionSoftware simulation partHardware circuit simulation partU2BNE5532P56487R175kR2150kR2kRF7.5kC22.2FC12.2FXFG2VCC15VVSS-15VXSC1ABCDGT输 入 端输 出 端112122121212121111()()()()FFAAy ty ty tf tRCR CR CR R CCR R CCThe circuit is a second order system wit

8、h large inertia(time constant is about 1 second)。1FRFAR（1）（2）Figure 1 Schematic diagram of experimental circuitExperimental principle1）(undamped),characteristic roots are a pair of pure virtual roots2）(over damping),the characteristic roots are a pair of unequal negative real rootsnnns122,1(critical

9、 damping),the characteristic root is a pair of equal negative real roots3）4）10(under damping),the characteristic roots are a pair of unequal conjugate negative roots222,111nnnnjs5）（instability），the real part of the characteristic root is positive。The specific experimental steps are carried out accor

10、ding to the 8 steps of the instructionBy adjusting the resistance,other components remain unchanged,so that the circuit works in over damping,critical damping,under damping,instability and other states.Analysis of experimental results1.According to the differential equation of the system described i

11、n formula(1)and the resistance R selected in each step of the experiment,the characteristic roots of the differential equation in various cases are calculated by MATLAB software,and the step response and impulse response(step response function and impulse response function)of the system under differ

12、ent damping conditions are drawn respectively,and compared with the simulation results of Multisim,Analyze the size of the differences and the causes of the differences。2.The difference of time-domain response(including step response and impulse response)under different damping conditions is compare

13、d,and the influence of system parameters and characteristic roots of differential equations on the natural response of the system is analyzed。Requirements for writing experiment reportName of experimental project1、Experiment purpose2、Experiment content and principle3、Experimental equipment(equipment

14、,components,software tools,platforms)4、Experiment steps5、Experimental data and result analysis6、Experimental conclusion7、Thinking questions8、OthersIncluding:experimental summary,experience and Suggestions for improvement of the experimental method,means and process。（write the contents of hardware simulation and software simulation separately,and each part is signed by the author）