Can be continuous Trajectory of a space shuttle Mass density in a cross-section of a brain · Can be discrete dNa base sequence Digital image pixels Can be 1-D,2-D,·N-D For this course: Focus on a single(1-D) independent variable which we call“time

一、拉氏变换的定义—从傅立叶变换到拉氏变换 二、拉氏变换与傅氏变换的关系 三、拉氏变换的性质,收敛域 四、卷积定理(S域) 五、系统函数和单位冲激响应

REMINDER: Computer Lab #1 is due on October 8 REMINDER: Quiz 1 will be held from 7: 30-9: 30 p. m. Tuesday, October 14 in Walker Memorial. The quiz will cover material in Chapters 1-3 of o W, Lectures and Recitations

Exercise for home study O&W4.47 tea this problem examines the Fourier transform of a continuous-time LTI system with a real, causal impulse response, h(t) (a) To prove that H(w) is completely specified by eh(u) for a real and causal h(t) lore the even part of a function, he(t)

REMINDER: Quiz 1 will be held from 7: 30 to 9: 30 p. m. Tuesday, October 14 The quiz will cover material in Chapters 1-3 of o&w Lectures and Recitations through september 26, Problem Sets 1-3 and that part of Problem Set 4 involving problems from Chapter 3 Reading assignments

1.已知x(t)<(2),求x1(t)=x(3t-2)e-12的傅立叶变换X() 2.已知x(n)<2X1(z),x2(n)<2X2(z),求x(n)*x2(n)的Z变换X(z) 3.已知x(t)=u(t+1)-u(t-1),x(t)的频谱为X()求x()d2

7-6解:y(n)=y(n-1)+x(n),x(n)=u(n),且边界条件为:y(-1)=0。采用逐次 迭 代的方法,可以得到: y(0)=-y(-1)+x(0)=0+1=1

画出列统白接所关和 并联形式的结构图、8-6Z变换与拉普拉斯的关系(p74-p79) (一)从S平面到Z平面的映射

本章的要点 1、由系统框图或电路图画出对应的信号流图 2、由系统的信号流图利用梅逊公式求系统的转移函数 3、状态方程和微分方程(差分方程)之间的互求 4、连续时间系统和离时间系统状态方程的列写和求解 5、系统的可控性和可观性

123连续时间系统状态方程的求解 一、用拉普拉斯变换法求解状态方程 二、用时域法戒解状态方程 矢量微分方程的求解