[第二章连续时间信号与系统的时域分析.ppt

2 连续时间信号与系统的时域分析 2、正弦信号 三、信号的运算与波形变换（信号的基本运算有8种） 。 3.、 给函数的表示带来方便 (a) (b) (c) 1、定义 (2) 是偶函数 2、 引入广义函数后，瞬息物理现象则可由奇异函数来描述，例如： 例1.有始周期锯齿波的分解 零输入响应：激励为零，仅由初始条件引起的响应 零状态响应：初始条件为零，由激励引起的响应 一.冲激响应 1.定义：当激励为单位冲激函数 时，系统的零状态响 应称为单位冲激响应，简称冲激响应，用h(t)表示。 2. h(t)的求解方法 例1.描述某系统的微分方程为: 试求该系统的冲激响应h(t)。 解：由冲激响应的定义，当f(t)= 时， 解： 1.定义： 2.卷积的图示 3.卷积的性质 (1)交换律： (2)分配律： (3)结合律： 4.卷积的微分性质 5.卷积的积分性质 6.由4.5两性质可得 7.函数与冲激函数的卷积 8.函数延时后的卷积 9.函数与阶跃函数的卷积 例2、 解： 解： 问： 下页动画演示卷积 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 卷积动画 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 由微分性 延时性 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose