Need help for mathematics problem.Signals and Systems and Newton method.

Hello guys, I'm new here and for the first time I start using MatLab. I have some questions from my teacher that I need to be solve, but because I'm still nooby in this program I don't know how to do it, that's why I write here and ask for some help.

[darova]

What exactly do you need help with? I don't want to do all your work for you

[Todor Kereziev]

Hey, I need so hits how to start, ofcorse it's not need to do all my home work. I need help for this one Shannon-Theorem, how I can write or there a builded function? Another thing's I dont know how to use convolution in Matlab, my teacher say that I need to builded by my self but I dont know how.

[darova]

Maybe you know how this should looks like?

[Todor Kereziev]

I just did this, and I don't know if it's true. And after that I don't know what I can do.

fy=1; %frequency in Hz
wy=2*pi*fy; %signal frequency
fs=8; %sampling frequency
t=0:4; %time interval
y=sin(2*pi*t); %signal data set
plot(t,y)

Answer 1

[Asvin Kumar]

Consider modifying the following code for the question related to sampling:

fy=1; %frequency in Hz 
wy=2*pi*fy; %signal frequency 
fs=8; %sampling frequency 
% fs can maybe take values 2*fy-0.1, 2*fy+0.1, 8*fy 
t=0:1/fs:4; %time interval 
y=sin(wy*t); %signal data set 
plot(t,y) 

You can adapt details from the links provided below for the remaining questions.

Convolution: https://www.mathworks.com/help/matlab/ref/conv.html

There is a file for Newton’s Method from the community on File Exchange here: https://www.mathworks.com/matlabcentral/fileexchange/28227-newton-s-method

Nelder-Mead: https://www.mathworks.com/help/matlab/ref/fminsearch.html