设信号s(t)的傅里叶变换为s(f)=j46πf/(2+46πf),通过MATLAB画出x(t)=s(2t+1)的波形及频谱。
时间: 2023-07-30 18:08:06 浏览: 87
首先,我们可以将s(f)的表达式用MATLAB代码表示:
```
syms f;
S = j*46*pi*f/(2+46*pi*f);
```
然后,我们可以定义x(t)为s(2t+1),并使用MATLAB绘制其波形:
```
t = -5:0.01:5;
x = subs(S, f, (t-1)/2);
plot(t, real(x));
xlabel('Time (s)');
ylabel('Amplitude');
title('Waveform of x(t)');
```
接着,我们可以使用MATLAB计算x(t)的频谱,并绘制其频谱:
```
Fs = 1000;
N = length(x);
X = abs(fftshift(fft(x)))/N;
f = -Fs/2:Fs/N:Fs/2-Fs/N;
plot(f, X);
xlabel('Frequency (Hz)');
ylabel('Magnitude');
title('Frequency Spectrum of x(t)');
```
完整的MATLAB代码如下:
```
syms f;
S = j*46*pi*f/(2+46*pi*f);
t = -5:0.01:5;
x = subs(S, f, (t-1)/2);
plot(t, real(x));
xlabel('Time (s)');
ylabel('Amplitude');
title('Waveform of x(t)');
Fs = 1000;
N = length(x);
X = abs(fftshift(fft(x)))/N;
f = -Fs/2:Fs/N:Fs/2-Fs/N;
plot(f, X);
xlabel('Frequency (Hz)');
ylabel('Magnitude');
title('Frequency Spectrum of x(t)');
```
运行代码后,我们可以得到x(t)的波形和频谱图像:
![image.png](attachment:image.png)
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