第2章-连续时间信号的时域分析-02(双语).ppt

连续时间信号的时域分析 普通信号的运算 Convolution Integral Definition Graphical Method Determination of limit points Property Signal decomposition ⒈ Arbitrary signal can be expressed as integral of step functions Signal decomposition 所以上式最后为： Signal decomposition 2.Arbitrary signal can be expressed as the integral of impulse functions Signal decomposition 如果是因果信号，则： Definition of The convolution Definition of The convolution The convolution Integral of and is defined as: the graphic method of convolution integral the graphic method of convolution integral the graphic method of convolution integral the graphic method of convolution integral the graphic method of convolution integral the graphic method of convolution integral 卷积积分的图解法 the graphic method of convolution integral Determination of limit points Determination of limit points Determination of limit points Determination of limit points Determination of limit points Determination of limit points Determination of limit points Determination of limit points Convolution’s Application Convolutions are fundamental to time series sampled data analysis. As described earlier all linear networks can be completely characterized by their impulse response functions and furthermore the response to any input is given by its (the input function) convolution with the network impulse response function Convolution Integral’s characteristicsProperty Convolution algebra Convolution’s derivative and integral Singular function’s Convolution Property Convolution algebra Convolution algebra Convolution algebra the derivative and integral of Convolution Singular function’s Covolution Property Singular function’s Convolution Property Singular function’s Convolution characteristics Example Continuous-time signals’ time domain analysis 普通信号的运算 图 2.2 – 2 卷积的图解表示 When t0，y(t)=0。 When 0t3， When t3， 0τ3 ① derivative： ②Integral 已知： ，求当 时的卷积 返 回 ① Delay ——　　　　是 T 秒的延迟器 (Retarder) So：when　　 ，