电子科大课堂讲义课堂版信号第九章习题解答.ppt

电子科大课堂讲义课堂版信号第九章习题解答￿￿￿￿Still￿waters￿run￿deep.流静水深流静水深,人静心深人静心深￿￿￿￿Where￿there￿is￿life,￿there￿is￿hope有生命必有希望有生命必有希望 Chapter 9 Problem Solution9.7 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 Solution9.8 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 Solution9.21 Determine the Laplace transform. 4 Chapter 9 Problem Solution9.22 Determine the function of time,5④④③③②②①① Chapter 9 Problem Solution9.28 Consider an LTI system for which the system function has the pole-pattern shown in Figure P9.28. (a)Indicate all possible ROCs.(b)For each ROC,specify whether the associated system is stable and/or causal.Causal , unstablenoncausal , unstable anticausal , unstablenoncausal , stable 6 Chapter 9 Problem Solution9.31 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 Solution9.33 A causal LTI systemDetermine the response 8 Chapter 9 Problem Solution9.35 Consider a causal LTI system with the input and output . (a) Determine a differential equation relating and (b) Is this system stable?-6-1-2-1L1L29 Chapter 9 Problem SolutionThis system is stable.10 Chapter 9 Problem Solution9.45 An LTI system:(a)Determine and its ROC.(b) Determine .(c) If , determine the output .11 Chapter 9 Problem SolutionConsider 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 Solution13 Chapter 9 Problem Solution2-3-4114 例例 某连续时间某连续时间LTI系统的零状态响应为系统的零状态响应为1. 试求该系统的系统函数试求该系统的系统函数 ，画出其零极点图，，画出其零极点图，并标注收敛域；并标注收敛域；2. 试求系统的单位冲激响应试求系统的单位冲激响应 ，并判断系统的性质。

并判断系统的性质3. 写出描述该系统的常系数微分方程；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画出该系统的信号流图 Chapter 9 Problem Solution15 Chapter 9 Problem Solution16。