16340198_孙肖冉_project11
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2022-08-03
22:41:07
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project1
16340198 孙肖冉
Write programs (using Matlab or other software) to finish the exercises below.
For
t
tt
tf
,0
0)],cos(1[
2
1
)(
,
(1) Plot this signal and its frequency spectrum;
(2) When the sampling period satisfies
1T
，
2/
T
，
2T
, respectively, please plot the
sampling signal
)(nf
p
and its frequency spectrum, respectively. Please give explanation of
these results;
(3) Using lowpass filter with cutting frequency
4.2
c
to reconstruct signal
)(tf
r
from
)(nf
p
. When the sampling period satisfies
1T
，
2T
, respectively, please plot the
reconstructed signal
)(tf
r
, and plot the absolute error between the reconstructed signal
)(tf
r
and the original signal
)(tf
. Please analyze these results.
（一）源代码：
因代码重复部分很多，所以只截取部分进行展示，将一完整代码附在文件 code 中。
1）绘制时间信号 f(t)：
dt = 0.01;
t = -5:0.01:5;
%建立原连续信号
f = 0*(abs(t)>pi) + 1/2*((cos(t)+1).*(abs(t)<=pi));
subplot(3,1,1);
plot(t,f);
xlabel('time');
ylabel('f(t)');
title('signal');
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