I want to filter the x signal given using the following filters using the filter command.
1 次查看(过去 30 天)
显示 更早的评论
Hello, i have the following filters given to me:
FIR Filter:
y[n] = 0.4x[n]+0.3x[n−1]+0.2x[n−2]+0.1x[n−3]
IIR Filter:
y[n] = 0.5y[n − 1] − 0.1y[n − 2] + 0.3x[n] − 0.2x[n − 1] + 0.1x[n − 2]
I want to filter the following signal using these two filters with filter command
x[n] = cos(0.1πn) + cos(0.5πn) + cos(0.9πn)
Can you help me on this problem, i could not understand the filter command. Thanks in advance
0 个评论
回答(1 个)
Srijith Kasaragod
2021-12-2
编辑:Srijith Kasaragod
2021-12-2
Hi Deniz,
Inorder to call "filter" function, you need to pass the denominator and numerator coefficents for the rational transfer function. To obtain the transfer function from the filter difference equation, you can apply Z-transform. For the FIR filter, the coefficients can be computed as:
Z-Transfrom gives,
rearranging,
From the transfer function, numerator and denominator coefficients are assigned to variables "b" and "a" respectively, and passed to "filter" function along with input signal.
n=-5:0.1:5;
x= cos(0.1*pi*n)+cos(0.5*pi*n)+cos(0.9*pi*n);
b=[0.4 0.3 0.2 0.1];
a=1;
y=filter(b,a,x);
plot(n,x);
hold on;
plot(n,y);
legend('signal','filteroutput');
hold off;
Similarly, you can filter "x" using IIR filter.
Hope this helps!
0 个评论
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Digital Filter Analysis 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!