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单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,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 9.45,1,Chapter 9 Problem Solution,9.7 How many signals have a Laplace transform that may be,expressed as,in its region of convergence?,Poles:,There are four signals.,2,Chapter 9 Problem Solution,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.,is two sided.,3,Chapter 9 Problem Solution,9.21 Determine the Laplace transform.,4,Chapter 9 Problem Solution,9.22 Determine the function of time,5,Chapter 9 Problem Solution,9.28 Consider an LTI system for which the system function,has the pole-pattern shown in Figure P9.28.,Indicate all possible,ROCs,.,For each ROC,specify whether the associated system is stable,and/or causal.,Causal,unstable,noncausal,unstable,anticausal,unstable,noncausal,stable,6,Chapter 9 Problem Solution,9.31 Consider a continuous-time LTI system,(a)Determine .,(b)Determine for each of the following cases:,1.The system is stable.,2.The system is causal.,3.The system is neither stable nor causal.,7,Chapter 9 Problem Solution,9.33 A causal LTI system,Determine the response,8,Chapter 9 Problem Solution,9.35 Consider a causal LTI system with the input and,output .,(a)Determine a differential equation relating and,(b)Is this system stable?,-6,-1,-2,-1,L1,L2,9,Chapter 9 Problem Solution,This system is stable.,10,Chapter 9 Problem Solution,9.45 An LTI system:,Determine and its ROC.,(b)Determine .,(c)If ,determine the output .,11,Chapter 9 Problem Solution,Consider a stable LTI system with input and output,.Suppose the rational system function has the pole-pattern,shown in Figure 1.,(a)Determine the system function of the system,is this system causal?,(b)Determine the unit impulse response of this system.,(c)If the input is ,determine the output .,(d)Draw a block diagram representation of this system.,12,Chapter 9 Problem Solution,13,Chapter 9 Problem Solution,2,-3,-4,1,14,例 某连续时间LTI系统的零状态响应为,1.试求该系统的系统函数 ，画出其零极点图，,并标注收敛域；,2.试求系统的单位冲激响应 ，并判断系统的性质。,3.写出描述该系统的常系数微分方程；,4.画出该系统的信号流图。,Chapter 9 Problem Solution,15,Chapter 9 Problem Solution,16,
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