Difference between revisions of "HW2-A Nicholas Browdues ECE301Fall2008mboutin" - Rhea

Revision as of 15:23, 11 September 2008

Question 1

I chose the signal $ x[n]=e^{j\pi n} \, $ which Jeff Kubascik posted on his HW1.

Recall that this signal is periodic if $ T = {\omega_0\over2\pi}\, $ is rational.

Say I choose the sampling period $ T_s=.1\, $

The output will be:

But if I choose the sampling period to be $ T_s=.7\, $

Question 2

I'm including the code for this part because I found help using Tyler Houlihan's work. He apparently also received help from Wei Jian Chan's HW. I used Tyler's code as a base to recreate a periodic signal from:

$ e^{-t}sin(t)\, $

Here's the code:

%Creating 3 time vectors
t=[0:0.001:1.5;0:0.001:1.5;0:0.001:1.5];

%setting the three variables, with their offsets    
y =exp(-t(1,:)).*sin(t(1,:));
y2=exp(-t(2,:)).*sin(t(2,:));
y3=exp(-t(3,:)).*sin(t(3,:));

%concatenating them, ie putting them after another
y4=[y,y2,y3];

%making the new time axis for the whole thing
t=0:0.001:4.502;

%plotting
plot(t,y4);

and the plot