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1、1,Homework:9.2 9.5 9.7 9.8 9.9 9.13 9.21(a,b,i,j)9.22(a,b,c,d)9.28 9.31 9.32 9.33 9.35 9.45,2,9.2 Consider the signal(a)Evaluate(b),3,9.5 For each of the following algebraic expressions for the Laplacetransform of a signal,determine the number of zeros located inthe finite s-plane and the number of
2、zeros located at infinity:,1,2,0,1,1,0,4,Poles:,There are four signals.,5,9.8 Let be a signal that has a rational Laplace transform with exactly two poles,located at s=-1 and s=-3.If and convergence,determine whether is left sided,right sided,or two sided.,convergence,is two sided.,6,9.9 Determine t
3、he inverse Laplace transform of,7,8,9.21 Determine the Laplace transform.,9,10,9.22 Determine the function of time,11,12,Causal,unstable,noncausal,unstable,anticausal,unstable,noncausal,stable,13,1.The system is stable.,2.The system is causal.,3.The system is neither stable nor causal.,14,Solution,C
4、ausal,is the eigenfunction of system.,15,The system is unstable.,16,17,18,9.35 Consider a causal LTI system with the input and output.(a)Determine a differential equation relating and(b)Is this system stable?,19,This system is stable.,20,Determine and its ROC.,21,(b)Determine.,(c)If,determine the ou
5、tput.,22,The input and output of a stable LTI system are related through the block-diagram representation shown in Figure 3.,Find the system function.Sketch the pole-zero pattern of,and indicate the ROC of.,(b)Determine the unit impulse response.Is this system causal?,(c)Compute the output of this system,if the input signal is,(d)For the input,determine the output.,23,This system is causal.,because the system is stable.,24,25,1.,26,2.,因为收敛域包含j轴，系统是稳定的,3.,4.信号流图,
