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1、Analysis of time domain and transform domain of discrete systemsPurposeExperimental contentPreliminary knowledge Analysis of results Experiment report writingExperimental steps1.Through this experiment,understand the basic principle of discrete-time signal time-domain operation and master its softwa
2、re simulation implementation method;Understand the calling format and function of the function fliplr in MATLAB software.2.Understand the calculation method of the convolution sum of discrete time series,master the Matlab implementation method of unit sequence response of discrete system;understand
3、the calling format and function of functions conv()and impz()3.Understand the basic principles of the iterative solution of difference equations,and master the time-domain analysis method and Matlab implementation method of discrete LTI systems.4.Master Matlab simulation implementation method of dis
4、crete time signal Z transform and inverse Z transform.5.Master the amplitude-frequency and phase-frequency characteristics of the frequency response function of discrete systems,and the method of drawing the zero-pole diagram of the system function;.PurposeExperimental contentPart 1:Basic time-domai
5、n operations of discrete-time signals(1)Adopt fliplr function programming to realize the inversion operation of the discrete sequence signal;(2)use the translation operation of the vector to realize the translation operation of the discrete signal;(3)realize the translation and the inversion operati
6、on of the discrete sequence signal Comprehensive.Part 2:Time domain analysis of discrete LTI systems(1)Use the function conv()programming to realize the convolution and operation of discrete time series,so as to solve the zero-state response of discrete systems;(2)Use the iterative solution of diffe
7、rence equations to solve the full response of discrete-time systems;(3)Use function impz()programming to solve unit sequence response of discrete time system;Part 3:Z-domain analysis of discrete LTI systems(1)Call related function programming to realize Z transformation and inverse Z transformation
8、of discrete signals;(2)Use transform domain analysis method to solve the zero-state response of discrete systems;(3)Call related function programming and plot the amplitude of frequency response function Frequency and phase frequency characteristic curves;(4)Call related function programming,draw a
9、pole-zero diagram of the system function of the discrete LTI system,and judge the stability of the system from the pole-zero diagram.Preliminary knowledge(1)Discrete sequence convolution and determination of sequence interval Using the function conv(),you can quickly find the convolution sum of two
10、discrete time series,but this function does not need to give the corresponding time sequence numbers of the two sequences,nor does it return the serial numbers corresponding to the convolution and sequence.Therefore,the sequence number interval corresponding to the convolution and sequence needs to
11、be determined.If the sequence f1 is non-zero in the interval n1 n2,and the sequence f2 is non-zero in the interval m1 m2,then the time domain width of f1 is L1=n2-n1+1,and the time domain width of f2 is L2=m2-m1+1,Defined by the convolution sum,the time domain width of sequence f1*f2 is L=L1+L2-1,an
12、d the corresponding time sequence number interval is:n1+m1 n1+m1+L1+L2-2 Preliminary knowledge(2)The calling format of function impz()impz(b,a)The calling format draws the discrete time waveform of the unit sequence response of the discrete system defined by vectors a and b in the default manner.imp
13、z(b,a,n)The calling format will draw the time-domain waveform of the unit sequence response of the discrete system defined by vectors a and b in the discrete time range of 0 n(n must be an integer).impz(b,a,n1:n2)The calling format will draw the time-domain waveform of the unit sequence response of
14、the discrete system defined by vectors a and b in the discrete time range of n1 n2(n1,n2 must be integers,and n1 n2)y=impz(b,a,n1:n2)The calling format does not plot the time domain waveform of the system unit sequence response,but finds the discrete system defined by vectors a and b in the discrete
15、 time range of n1 n2(n1,n2 must be integers,and n1 n2)Numerical solution of unit sequence response.Where a and b are the coefficients of the difference equation)()(jkfbikyajiExperimental procedureThe first part is the confirmatory experiment.1.Verify the convolution and operation;2.Full response sol
16、ution for discrete time systems;3.Solution of unit sequence response of discrete time system;4.Z transformation and inverse Z transformation of discrete signals,using Z transformation to find the zero state response of the system;5.Practice the plotting of the amplitude-frequency and phase-frequency
17、 characteristic curves of the frequency response function;drawing the pole-zero diagram of the LTIS system function.The second part is the programming experiment.Complete the program design according to the requirements of the experiment guide book.Analysis of results1.According to the content requi
18、rements of the experiment guide,complete the verification experiment,and conduct a theoretical analysis of the experimental results data graphics,etc.,fully understand the physical meaning of the knowledge points involved and their engineering applications,and fully understand the software programmi
19、ng method used And master,learn to apply.2.For the program design topics given in the instruction book,first conduct theoretical calculations,and then program the realization;compare and analyze the theoretical calculation results and the program realization results,and summarize the program design
20、skills.Experimental report writing requirementsExperimental project name1.The purpose of the experiment2.Experimental content and principle3.Experimental equipment(equipment,components,software tools,platforms)4.Experimental steps5.Experimental data and result analysis(result analysis part of the co
21、ntent is handwritten,various recorded graphics must correspond to the corresponding analysis content,not all graphics can be unified together,used as an attachment to the report,but each part of the data graphics corresponds to its Result analysis)6.Experimental conclusion(conclusive concluding statement of the whole experiment)7.OtherIncluding:experimental summary,experience and suggestions for improving the experimental methods,methods and processes.And each part of the signature writer.
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