导读:英语翻译本人英语欠佳,还请高手出马,帮忙以下中文翻成英文,利用MATLAB实现离散时间系统的时域和频域分析目的1.进一步 英语翻译本人英语欠佳,还请高手出马,帮忙以下中文翻成英文,利用MATLAB实现离散时间系统的时域和频域分析目的1.进一步熟悉和掌握通过系统函数H(Z)分析离散时间系统的时域和频域特性;2.复习如何用MATLAB语言实现离散时间系统的时域和频域分析内容1.运用...
英语翻译本人英语欠佳,还请高手出马,帮忙以下中文翻成英文,利用MATLAB实现离散时间系统的时域和频域分析目的1.进一步
英语翻译
本人英语欠佳,还请高手出马,帮忙以下中文翻成英文,
利用MATLAB实现离散时间系统的时域和频域分析
目的
1.进一步熟悉和掌握通过系统函数H(Z)分析离散时间系统的时域和频域特性;
2.复习如何用MATLAB语言实现离散时间系统的时域和频域分析
内容
1.运用MATLAB指令绘制离散时间系统的零极点图、脉冲响应和频率响应曲线
2.根据系统的零极点图分析该离散系统的稳定性
原理
离散时间系统的系统函数表示式为:XXXXXX
需要注意的是,离散时间系统的系统函数可能有两种形式,一种是分子和分母多项式均按Z的正幂次项排列,另一种是分子和分母多项式均按Z的负幂次项排列.无论采用哪种排列形式,分子和分母多项式系数向量的维数一定要相同,不同的要用0补齐,否则Z=0的零点或极点就可能被漏掉.
系统函数H(Z)的零极点分布完全可以决定系统的特性,对离散系统特性的分析具有非常重要的意义.通过对系统函数零极点的分析可以获得离散系统以下几个方面的特征:
1.系统脉冲响应h(n)的时域特性
2.离散系统的稳定性
3.离散系统的频率特性(幅频响应和相频响应)
MATLAB为我们提供了求解这些特性及绘制系统函数零极点图的相关函数,如zplane、impz、freqz等,这些函数的使用方法详见本书6.5和6.6节的内容.
执行该程序得到所要求的图形,如下图所示.
从图1的零极点图可以看到,该系统函数的极点都在单位圆内,所以该系统为稳定的系统.
任务
1.已知离散系统的系统函数XX,试利用MATLAB分析该系统的时域和频域特性.要求:在一个窗口中分别画出系统的零极点图、脉冲响应、幅频和相频特性,并判断系统的稳定性.
2.已知某离散时间系统的框图如图2所示,试利用MATLAB分析该系统的频率特性.要求:在一个窗口中分别画出系统的零极点图、相频特性曲线、0-π和0-2π区间的幅频特性,并分析该系统的稳定性及其所完成的功能.
思考题
如果想显示0-π和0-2π区间上的频率特性以观察离散时间系统频响的周期性,应如何调整你的MATLAB指令?
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MATLAB discrete time systems in time domain and frequency domain analysis
Purpose
Become more familiar with and master the system function H (Z) analysis of discrete-time systems in time domain and frequency domain characteristics;
Review how MATLAB language in time domain and frequency domain analysis of discrete-time systems
Content
(1) the use of the MATLAB command to draw a discrete-time system pole-zero diagram, impulse response and frequency response curve
Two pole-zero diagram of the system to analyze the stability of the discrete system
Principle
System function of the discrete-time system that is: XXXXXX
To note is that the system function of the discrete-time system may have two forms, one is the numerator and denominator polynomial according to Z Positive Power term arrangement, the other is the numerator and denominator polynomial according to Z negative power times the Arrangement. Either arrangement, the dimensions of the numerator and denominator polynomial coefficient vector must be the same, different use 0 filled, otherwise Z = 0 the zero or pole can be left out.
Pole-zero distribution of the system function H (Z) can determine the characteristics of the system has very important significance to the analysis of the discrete system characteristics. Through the analysis of poles and zeros of the system function for discrete systems, the characteristics of the following aspects:
Time-domain characteristics of a system impulse response h (n)
(2) stability of discrete systems
3 the frequency characteristics of the discrete system (amplitude-frequency response and phase frequency response)
MATLAB provides us with the solving of these features and draw the pole-zero diagram of the system function-related functions, such as zplane, impz, freqz, the use of these functions see the book 6.5 and 6.6.
The implementation of the procedures required by the graphics, as shown below.
From pole-zero diagram of Figure 1 you can see, the function of the system poles inside the unit circle, so the system is a stable system.
Task
A system function XX known discrete systems, try using MATLAB analysis of the system in time domain and frequency domain characteristics. Requirements: pole-zero diagram, respectively, to draw in a window system, impulse response, amplitude frequency and phase-frequency characteristics, and determine the stability of the system.
Known a discrete-time system block diagram shown in Figure 2, try using MATLAB analysis of the frequency characteristics of the system. Requirements: pole-zero diagram, respectively, to draw in a window system, the phase frequency response curve, 0-π and 0-2π range of the amplitude-frequency characteristics, and analyze the stability of the system and to complete the function.
Thinking title
If you want to show the frequency characteristics of the 0-of π and 0-2π range in order to observe the cyclical nature of the frequency response of discrete-time system, how to adjust your MATLAB command?
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