(完整word版)信号与系统(郑君里)复习要点(良心出品必属精品).pdf
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1、1 信号与系统复习书中最重要的三大变换几乎都有。第一章 信号与系统1、信号的分类连续信号和离散信号周期信号和非周期信号连续周期信号 f(t)满足 f(t)=f(t+mT),离散周期信号 f(k)满足 f(k)=f(k+mN),m=0,1,2,两个周期信号 x(t),y(t)的周期分别为 T1和 T2,若其周期之比 T1/T2为有理数,则其和信号 x(t)+y(t)仍然是周期信号,其周期为T1和 T2的最小公倍数。能量信号和功率信号因果信号和反因果信号2、信号的基本运算(+-)2.1 信号的(+-)2.2 信号的时间变换运算(反转、平移和尺度变换)3、奇异信号3.1 单位冲激函数的性质f(t)(
2、t)=f(0)(t),f(t)(t a)=f(a)(t a)精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页,共 25 页 -2 例:3.2 序列(k)和(k)f(k)(k)=f(0)(k)f(k)(k k0)=f(k0)(k k0)4、系统的分类与性质4.1 连续系统和离散系统4.2 动态系统与即时系统4.3 线性系统与非线性系统线性性质T af()=a T f()(齐次性)T f1()+f 2()=T f 1()+T f 2()(可加性)当动态系统满足下列三个条件时该系统为线性系统:y()=yf()+yx()=T f(),0+T 0,x(0)(可分解性)Ta f(),0=a T f(),
3、0 Tf1(t)+f2(t),0=T f1(),0+T f2(),0(零状态线性)0(d)()(ftttf)(d)()(aftattf?d)()4sin(91ttt)0(d)()(fttft)0()1(d)()()()(nnnfttft4)2(2)2(ddd)()2(0022tttttttt)(1|1)()()(taaatnnn)(|1)(taat)(|1)(00attatat)0()()(fkkfk精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页,共 25 页 -文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J
4、10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P
5、1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3
6、E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D
7、2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O
8、9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:C
9、E3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU
10、2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H1文档编码:CE3E1S1G3T1 HU2D2J10I2S6 ZO6O9P1E9H13 T0,ax1(0)+bx2(0)=aT0,x1(0)+bT0,x2(0)(零输入线性)4.4 时不变系统与时变系统T0,f(t-td)=yf(t-td)(时不变性质)直观判断方法:若 f()前出现变系数,或有反转、展缩变换,则系统为时变系统。LTI 连续系统的微分特性和积分特性微分特性:若 f(t)yf(t),则f(t)y f(t)积分特性:若 f(t)yf(t),则4.5 因果系统与
11、非因果系统5、系统的框图描述第二章 连续系统的时域分析1、LTI 连续系统的响应1.1 微分方程的经典解y(t)(完全解)=yh(t)(齐次解)+yp(t)(特解)描述某系统的微分方程为 y”(t)+5y(t)+6y(t)=f(t)求(1)当 f(t)=2e-t,t 0;y(0)=2,y(0)=-1时的全解;(2)当 f(t)=e-2t,t 0;y(0)=1,y(0)=0 时的全解2、冲激响应系统在单位冲激信号作用下的零状态响应,求解方法系数平衡法系统方程两端对应系数相等ttxxyxxfd)(d)(f精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页,共 25 页 -文档编码:CG1W9M4P
12、2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2
13、I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7
14、E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M
15、4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2
16、A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2
17、E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W
18、9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E94 由单位阶跃响应求单位冲激响应,即()()dttdt例 y”(t)+5y(t)+6y(t)=f(t)求其冲激响应 h(t)。3、阶跃响应系统在单位阶跃信号作用下的零状态响应。4、卷积积分4.1 定义1212()()()()f tftfft4.2 任意信号作用下的零状态响应4.3 卷积积分
19、的求法按照定义图解法4.4 卷积积分的性质交换律结合律分配律积分性质微分性质任意时间函数与冲激函数的卷积f(t)*(t)=(t)*f(t)=f(t);f(t)*(t)=f(t);f(t)*(t)卷积的时移性质 f1(t t1)*f2(t t2)=f1(t t1 t2)*f2(t)=f1(t)*f2(t t1 t2)=f(t t1 t2)第三章 离散系统的时域分析1、LTI 离散系统的响应1.1 差分与差分方程1.2 差分方程的经典解(和微分方程相类似)nnnnnnttftftfttftftftd)(d*)()(*d)(d)(*)(dd212121d)(*)()(*d)(d)(*)(212121
20、tttftftffff精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页,共 25 页 -文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W
21、9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8
22、T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8
23、H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG
24、1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4
25、E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10D8H2E7E9文档编码:CG1W9M4P2A3 HC4E8T2A2I7 ZI10
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