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− | to | + | ==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. | ||
+ | |||
+ | [[image:ScottHamiltonHw2ptA1.jpg]] | ||
+ | |||
+ | This graph was generated with the following code | ||
+ | |||
+ | <pre> | ||
+ | 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 | ||
+ | </pre> | ||
+ | |||
+ | ==Problem 2== | ||
+ | Using Xujun Huang's function <math>e^t</math> I was able to create a periodic signal. | ||
+ | |||
+ | [[image:ScottHamiltonHw2ptA2.jpg]] | ||
+ | |||
+ | The matlab code is as follows: | ||
+ | |||
+ | <pre> | ||
+ | clear | ||
+ | clc | ||
+ | |||
+ | t=(0:1:6); | ||
+ | y=exp(t); | ||
+ | newy=[y,y,y]; | ||
+ | fullt=1:1:length(newy); | ||
+ | plot(fullt,newy,'b') | ||
+ | |||
+ | </pre> |
Latest revision as of 06:02, 12 September 2008
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.
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.
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')