同济大学：《数字信号处理（DSP）》课程教学资源（PPT课件讲稿）第三章 离散傅里叶变换（习题讲解）

一、DFS 二、DFS的性质 三、DFT 四、DFT的性质 五、圆周卷积 六、利用DFT计算线性卷积 七、频率域抽样

一、Z变换的定义与收敛域 二、Z反变换 三、系统的稳定性和H(z) 四、系统函数

Transform-Domain Representation of Discrete-Time Signals Three useful representations of discrete-time sequences in the transform domain: Discrete-time- Fourier Transform(DTFT) YDiscrete Fourier Transform(DFT) z- -Transform

DTFT Properties Using the differentiation property of the DTFT given in Table 3.2, we observe that the DTFT of nx[n] is given by

Phase and Group Delays The output y[n] of a frequency-selective LTI discrete-time system with a frequency response(@) exhibits some delay relative to the input x[n] caused by the nonzero phase response 0(@) =arg{()} of the system

一、Textbook S.K. Mitra, Digital Signal Processing-A Computer-Based Approach, Third Ed

Discrete-Time Systems A discrete-time system processes a given input sequence x[] to generates an output sequencey[n] with more desirable properties In most applications, the discrete-time system is a single-input, single-output system:

《数字信号处理》教学参考资料（Numerical Recipes in C，The Art of Scientific Computing Second Edition）Chapter 07.6 Random Numbers 7.6 Simple Monte Carlo Integration

《数字信号处理》教学参考资料（Numerical Recipes in C，The Art of Scientific Computing Second Edition）Chapter 07.5 Random Numbers 7.5 Random Sequences Based on Data Encryption