2.1 Discrete-Time Signals: Time-Domain Representation Signals 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-oo≤n≤∞ x[n] defined only for integer values of n and undefined for noninteger values of n Discrete-time signal represented by {x[n]}

第4章快速傅里叶变换(FFT) 4.1引言 4.2基2FFT算法 4.3进一步减少运算量的措施 4.4分裂基FFT算法 4.5离散哈特莱变换(DHT)

第5章时域离散系统的基本网络结构与 状态变量分析法 5.1引言 5.2用信号流图表示网络结构 5.3无奶长脉冲响应基本网络结构 5.4有限长脉冲响应基本网络结构 5.5状态变量分析法

第6章无限脉冲响应数字滤波器的设计 6.1数字滤波器的基本概念 6.2模拟滤波器的设计 6.3用脉冲响应不变法设计IR数字低通滤波器 6.4用双线性变换法设计IR数字低通滤波器 6.5数字高通、带通和带阻滤波器的设计 6.6IR数字滤波器的直接设计法

第8章其它类型的数字滤波器 8.1.3最小相位系统 最小相位系统在工程理论中较为重要,下面给出最小相位系统的几个重要特点。(1)任何一个非最小相位系统的系统函数H(z)均可由一个最小相位系统Hmn(z)和一个全通系统Hap(z)级联而成,即(8.1.8) 证明假设因果稳定系统H(z)仅有一个零点在单位圆外,令该零点为z=1/z0,口z1,则H(z)可表示为

3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)

5.1 Digital Processing of Continuous-Time Signals Digital processing of a continuous-time signal involves the following basic steps: (1) Conversion of the continuous-time signal into discrete-time signal, ()Processing of the discrete-time signal, (3) Conversion of the processed discrete- time signal back into a continuous-time signal

6.1 Introduction The convolution sum description of an LTI discrete-time system can, in principle, be used to implement the system For an IR finite-dimensional system this approach is not practical as here the impulse response is of infinite length · However, direct implementation of the IIR finite-dimensional system is practica

Objective-Determination- of realizable transfer function G() approximating a given frequency response specification is an important step in the development of a digital filter If an IIR filter is desired, G() should be a stable real rational function Digital filter design is the process of deriving the transfer function G

Introduction Ideally, the system parameters along with the signal variables have infinite precision taking any value between -oo and · In practice, they can take only discrete values within a specified range since the registers of the digital machine where they are stored are of finite length