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1、1 1.1 信号与系统信号(signal)消息(Message):在通信系统中,一般将语言、文字、图像或数据统称为消息。信号(Signal):指消息的表现形式与传送载体。信息(Information):一般指消息中赋予人们的新知识、新概念,定义方法复杂,将在后续课程中研究。信号是消息的表现形式与传送载体,消息是信号的传送内容。如电信号传送 声音、图像、文字等。电信号是应用最广泛的物理量,如电压、电流、电荷、磁通等。系统(system)系统(system):由若干相互作用和相互依赖的事物组合而成的,具有稳定功能的整体。如太阳系、通信系统【-为传送消息而装设的全套技术设备(包括传输信道),其方框如
2、下图所示:信道发送设备接收设备受信者信息源噪声源发送端接收端消息信号信号消息】、控制系统、经济系统、生态系统等。系统可以看作是变换器、处理器。电系统具有特殊的重要地位,某个电路的输入、输出是完成某种功能,如微分、积分、放大,也可以称系统。在电子技术领域中,“系统”、“电路”、“网络”三个名词在一般情况下可以通用。信号理论与系统理论信号理论信号分析:研究信号的基本性能,如信号的描述、性质等。信号传输:通信的目的是为了实现消息的传输。原始的光通信系统古代利用烽火传送边疆警报;声音信号的传输击鼓鸣金。利用电信号传送消息。1837 年,莫尔斯(F.B.Morse)发明电报;1876 年,贝尔(A.G.
3、Bell)发明电话利用电磁波传送无线电信号。1901 年,马可尼(G.Marconi)成功地实现了横渡大西洋的无线电通信;全球定位系统GPS(Global Positioning System);个人通信具有美好的发展前景光纤通信带来了更加宽广的带宽。信号的传输离不开信号的交换。信号处理:对信号进行某种加工或变换。其目的是:消除信号中的多余内容;滤除混杂的噪声和干扰;将信号变换成容易分析与识别的形式,便于估计和选择它的特征参量。信号处理的应用已遍及许多科学技术领域。系统理论2 系统分析:给定系统,研究系统对于输入激励所产生的输出响应。系统综合:按照给定的需求设计(综合)系统。重点讨论信号的分析
4、、系统的分析,分析是综合的基础。信号与系统的描述激励输入信号响应输出信号系统文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5
5、N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q
6、5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B
7、6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3
8、Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9
9、V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1
10、U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U13 1.2 信号的描述和分类一信号的分类信号的分类方法很多,可以从不同的角度对信号进行分类。
11、按实际用途划分:电视信号,雷达信号,控制信号,通信信号,广播信号,按所具有的时间特性划分:1确定性信号和随机信号确定性信号:对于指定的某一时刻t,可确定一相应的函数值f(t)。若干不连续点除外。随机信号:具有未可预知的不确定性。伪随机信号:貌似随机而遵循严格规律产生的信号(伪随机码)。2周期信号和非周期信号周期信号:正弦周期信号(简谐信号)复杂周期信号(除简谐信号外的周期信号)如:sin t+sint非周期信号:准周期(频率之比值为无理数)瞬态信号(脉冲,衰减函数):除准周期信号外一切可用时间函数描述非周期信号3连续信号和离散信号连续时间信号:信号存在的时间范围内,任意时刻都有定义(即都可以给
12、出确定的函数值,可以有有限个间断点)。用t 表示连续时间变量。离散时间信号:在时间上是离散的,只在某些不连续的规定瞬时给出函数值,其他时间没有定义。用n 表示离散时间变量。4模拟信号,抽样信号,数字信号OttfnfnOnfnO模拟信号:抽样信号:数字信号:时间和幅值均为连续的信号时间离散的,幅值连续的信号时间和幅值均为离散的信号主要讨论确定性信号。先连续,后离散;先周期,后非周期。判断信号:判断下列波形是连续时间信号还是离散时间信号,若是离散时间信号是否为数字信号?tfOttfOt1 2435 6 7 8tfOt1 2435 678123值,只有321连续信号离散信号离散信号,数字信号tf(t
13、)OnO1 2f(n)文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X
14、5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文
15、档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH
16、9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10
17、C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 H
18、E6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z1
19、0Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U14 5一维信号和多维信号一维信号:只由一个自变量描述的信号,如语音信号。多维信号:由多个自变量描述的信号,如图像信号。二几种典型确定性信号信号的表
20、示:函数表达式f(t)和波形1.指数信号tKtfe)(=0 直流(常数),0 指数增长单边指数信号0e00tttft常把 1/称为指数信号的时间常数,记作,代表信号衰减速度,具有时间的量纲。重要特性:其对时间的微分和积分仍然是指数形式。2.正弦信号f(t)=Ksin(t+)振幅:K周期:fT12频率:f角频率:=2 f初相:衰减正弦信号:0000sine)(tttKtft3.复指数信号(表达具有普遍意义)(sinejcosee)(ttKtKKtfttst其中 s=+j为复数,称为复频率,,均为实常数,的量纲为 1/s,的量纲为rad/s讨论振荡衰减增幅等幅衰减指数信号升指数信号直流0,00,0
21、0,00,00,00,04.抽样信号(Sampling Signal)tttsin)Sa(Ot1tf00K0OtftOttfKT22文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z
22、10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5
23、 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8
24、X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1
25、文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:C
26、H9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N1
27、0C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U15 性质 Sa(t)=Sa(t),偶
28、函数1)Sa(lim1)Sa(,00tttt,即 Sa(t)=0,t=n,n=1,2,3,dsin,2dsin0tttttt0)Sa(limtt sinc(t)=sin(t)/(t)5.钟形脉冲函数(高斯函数)2e)(tEtf在随机信号分析中占有重要地位。欧拉公式:复平面上的一个单位圆上的点,与实轴夹角为时,此点可表示为jecossinReImj1111sinjcosej1ejje欧拉公式e 是自然对数的底,此式称为欧拉(Euler)公式。e 可以用计算方法定义为71828.211limennn欧拉公式与三角函数的关系由泰勒级数展开6421cos642,753sin753同样若 ej 展开,可
29、得到753j6421!4j!3j!2j!1j1e753642432j=cos+jsin三角函数可表示为j2eesin2eecosjjjjttSa123OOttfE2eEE78.0文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文
30、档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH
31、9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10
32、C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 H
33、E6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z1
34、0Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5
35、ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X
36、5P1U16 1.3 信号的运算一信号的自变量的变换(波形变换)1.信号的移位f(t)f(t)将信号 f(t)沿 t 轴平移即得平移信号f(t ),为常数。0,右移(滞后),0)先展缩:1,压缩 倍;0、a0 两种情况ata令,0)0(1d)()(faaafdttfat文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P
37、1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编
38、码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B
39、5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4
40、Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6
41、B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q
42、3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL
43、9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U113)0(1d)()(1fattfta而两边相等taa令,0:t)0(1d1)(11d1)(d)()(faafaaafttfta)0(1d)()(1fattfta而证毕。冲激偶的标度变换:taaat11,taaatkkk)()(11例 1-4-1?d)()5(ttft051f例 1-4-2 已知信号f(5-2t)的波形,请画出f(t)的波形。)3(2)25(ttf展宽一倍)5()25(tftf5)()5(左移tftf)1(4)5(5)(ttftf倒置)()(tftf)1(4)(ttfOtf(5
44、-2t)(2)1 23Otf(5-t)(4)12 36Otf(-t)(4)1 236Otf(t)(4)1 2 36文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL
45、9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P
46、1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编
47、码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B
48、5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4
49、Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6
50、B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U1文档编码:CH9B5N10C4Q5 HE6B6Z10Q3Z5 ZL9V8X5P1U114 四.总结:R(t),(t),(t)之间的关系t)