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

1.1 Introduction Any problems about signal analyses and processing may be thought of letting signals trough systems. f(t) y(t) h(t) From f(t) and h(t), find y(t), Signal processing From f(t) and y(t), find h(t), System design From(t)andh(t), find(t), Signal reconstruction

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]}

4.1 LTI Discrete-Time Systems in the Transform Domain · Such transformdomain- representations provide additional insight into the behavior of such systems It is easier to design and implement these systems in the transform-domain for certain applications We consider now the use of the DtFt and the z-transform in developing the transform- domain representations of an LTI system

实验2离散系统的差分方程、冲激响应和卷积分析 实验目的:加深对离散系统的差分方程冲激响应和卷积分析方法 的理解。 实验原理:离散系统

实验5基于 MATLAB的数字滤波器设计 实验目的:加深对数字滤波器的常用指标和设计过程的理解。 实验原理:低通滤波器的常用指标: 1-p≤g(es1+op, for≤p G() 1+0 1-p G(e)o, foros≤o≤n -s -op p @s 通带边缘频率:,阻带边缘频

实验4离散系统的频率响应分析和零、极点分布 实验目的:加深对离散系统的频率响应分析和零、极点分布的概念 理解。 实验原理:离散系统的时域方程为 (n-k)=(n-k) 其变换域分析方法如下:

1. Any arbitrary input sequence x[n] can be expressed as a linear combination of delaved and advanced unit sample sequences [n]=x[k][n-k] k=-0 2. .Linear Time-Invariant()System A system satisfying both the linearity and the time-invariance property. .If yiln] is the output due to an input xiln] and y2ln] is the output due to an input x2n] then for an input xn]=axiln]+bx2n] the output is given by ]=]+by2[n]

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

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