(→Part 1) |
(→Part 1) |
||
Line 3: | Line 3: | ||
Given the Signal <math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic. | Given the Signal <math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic. | ||
Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. | Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. | ||
− | < | + | <pre> |
[[Image:nonper_ECE301Fall2008mboutin.jpg]] | [[Image:nonper_ECE301Fall2008mboutin.jpg]] | ||
<pre> | <pre> | ||
If the sampling frequency is 2 then the Signal is periodic as seen below. | If the sampling frequency is 2 then the Signal is periodic as seen below. | ||
− | < | + | <pre> |
[[Image:per_ECE301Fall2008mboutin.jpg]] | [[Image:per_ECE301Fall2008mboutin.jpg]] | ||
Revision as of 17:51, 10 September 2008
Part 1
Given the Signal <math>y=cos(pi*t)</math>, One can make 2 DT Signals one that is periodic and one that is nonperiodic. Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below. <pre> [[Image:nonper_ECE301Fall2008mboutin.jpg]] <pre> If the sampling frequency is 2 then the Signal is periodic as seen below. <pre> [[Image:per_ECE301Fall2008mboutin.jpg]] == MATLAB CODE == <pre> t=[1 2 3 4 5 6 7 8 9 10 11 12 13] y=cos(pi.*t) figure(1) plot(t,y,'.') xlabel('Time') ylabel('cos(pi*t') title('NonPeriodic Signal)') t=t.*(2) y=cos(pi.*t) figure(2) plot(t,y,'.') xlabel('Time') ylabel('cos(pi*t') title('NonPeriodic Signal)')