用matlab绘制序列x (n) = 4n [u (n + 5) − u (n − 7)]的傅里叶变换,绘制原函数、频率特性、相位特性
时间: 2024-05-08 11:15:14 浏览: 9
清空命令窗口和图形窗口:
```matlab
clc;
clear;
close all;
```
定义序列 $x(n)=4n[u(n-5)-u(n-7)]$,其中 $u(n)$ 是单位阶跃函数:
```matlab
n = -10:10;
x = 4*n.*(heaviside(n-5)-heaviside(n-7));
```
绘制原函数:
```matlab
stem(n, x);
xlabel('n');
ylabel('x(n)');
title('Original Sequence');
```
绘制频率特性:
```matlab
X = fft(x);
f = linspace(-0.5, 0.5, length(X));
X_shifted = fftshift(X);
f_shifted = fftshift(f);
subplot(2,1,1);
stem(f_shifted, abs(X_shifted));
xlabel('f');
ylabel('|X(f)|');
title('Magnitude Spectrum');
subplot(2,1,2);
stem(f_shifted, angle(X_shifted));
xlabel('f');
ylabel('\angleX(f)');
title('Phase Spectrum');
```
绘制相位特性:
```matlab
X = fft(x);
f = linspace(-0.5, 0.5, length(X));
X_shifted = fftshift(X);
f_shifted = fftshift(f);
subplot(2,1,1);
stem(f_shifted, abs(X_shifted));
xlabel('f');
ylabel('|X(f)|');
title('Magnitude Spectrum');
subplot(2,1,2);
stem(f_shifted, angle(X_shifted));
xlabel('f');
ylabel('\angleX(f)');
title('Phase Spectrum');
```
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