HW2-A Scott Hamilton ECE301Fall2008mboutin - Rhea

Problem 1

Pick a CT periodic signal that was posted on Rhea as part of homework 1, and create two DT signals, one periodic and one non-periodic, by sampling at different frequencies.

Using Eric Zarowny's function of y(0)=sin(t) I graphed the function using a periodic (.1) and a non-periodic (2) sampling rate.

File:ScottHamiltonHw2ptA1.jpg

This graph was generated with the following code

clear 
clc

ratt=(0:.1:6*pi);
nonratt=(0:2:6*pi);
rational=sin(ratt);
nonrational=sin(nonratt);

hold on
plot(ratt,rational,'b')
plot(nonratt,nonrational,'r')
legend('Periodic Sampling', 'Non-Periodic Sampling')
hold off

Problem 2

Using Xujun Huang's function $ e^t $ I was able to create a periodic signal.

File:ScottHamiltonHw2ptA2.jpg

The matlab code is as follows:

clear 
clc

t=(0:1:6);
y=exp(t);
newy=[y,y,y];
fullt=1:1:length(newy);
plot(fullt,newy,'b')