The dtft provides a frequency-domain representation of discrete-time signals and lti discrete-time systems Because of the convergence condition, in many cases. the dtft of a sequence may not exist as a result. it is not possible to make use of such frequency-domain characterization in these cases Copyright C 2001, S K. Mitra

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:

the Transform Domain An LTI discrete-time system is completely characterized in the time-domain by its impulse response {h[n]} We consider now the use of the DTFT and the z-transform in developing the transform￾domain representations of an LTI system

Stability Condition in Terms of the Pole Locations A causal LTI digital filter is BIBO stable if and only if its impulse response h[n] is absolutely summable, i.e., We now develop a stability condition in terms of the pole locations of the transfer function H(z)

Time-Domain Representation Signals are represented as sequences of numbers, called samples Sample value of a typical signal or sequence denoted as x[n] with n being an integer in the range x[n] defined only for integer values of n and undefined for non-integer values of n

北京理工大学：《信号与信息处理》课程教学资源（实验讲义）数字信号处理实验教程（基于MATLAB语言）

本书紧密结合信号分析和处理的基本知识,详细介绍了 MATLAB语言的应用和编 程技术。主要内容有:信号与系统基础;信号的傅里叶变换和z变换;模拟滤波器和数字滤 波器设计;滤波器的实现及分析随机信号相关分析和功率谱估计及其应用MATLAB 信号处理交互式图形用户界面等

5.1 数字信号处理的基本步骤 5.2 模数(A/D)和数模(D/A) 5.3 采样定理 5.4 信号的截断、能量泄漏 5.5 DFT与FFT 5.6 栅栏效应与窗函数 5.7 常用的数字信号处理算法

2.1.1 音频数字化处理 1.声音的基本描述 2.音频信号的数字化过程 3.数字音频的主要技术指标 2.1.2 MIDI音乐合成 1.数字音乐生成方法 2.MIDI音频处理过程 2.1.3 多媒体声音卡 2.1.4 音频文件格式

一、基本数据处理算法内容提要 二、消除糸统误差的算法、非线性校正 三、工程量的标度换。 四、诸如频谱估计、相关分析、复杂滤波等算法,阅读数字信号处理方面的文献