(New page: == Part 1 == <pre> 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 i...) |
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== Part 1 == | == Part 1 == | ||
<pre> | <pre> | ||
| − | Given the Signal <math>y=cos(pi*t)</math> | + | Given the Signal </pre><math>y=cos(pi*t)</math><pre> |
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]] | ||
| + | <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]] | ||
== MATLAB CODE == | == MATLAB CODE == | ||
| + | <pre> | ||
t=[1 2 3 4 5 6 7 8 9 10 11 12 13] | t=[1 2 3 4 5 6 7 8 9 10 11 12 13] | ||
y=cos(pi.*t) | y=cos(pi.*t) | ||
| Line 12: | Line 17: | ||
plot(t,y,'.') | plot(t,y,'.') | ||
xlabel('Time') | xlabel('Time') | ||
| − | ylabel('cos(pi*t') | + | ylabel('cos(pi*t)') |
title('NonPeriodic Signal)') | title('NonPeriodic Signal)') | ||
t=t.*(2) | t=t.*(2) | ||
| Line 21: | Line 26: | ||
ylabel('cos(pi*t') | ylabel('cos(pi*t') | ||
title('NonPeriodic Signal)') | title('NonPeriodic Signal)') | ||
| + | </pre> | ||
== Part 2 == | == Part 2 == | ||
| + | <pre> | ||
| + | The non Periodic CT Signal is 2^t | ||
| + | I made this periodic my shift 2^t from 0 to 4 several times as seen in the picture below | ||
| + | </pre> | ||
| + | [[Image:Part2_ECE301Fall2008mboutin.JPG]] | ||
| + | == MATLAB CODE == | ||
| + | <pre> | ||
| + | t=0:.001:4; | ||
| + | y=2.^t; | ||
| + | plot(t,y,t+4,y,t+8,y,t+12,y,t+16,y) | ||
Latest revision as of 17:13, 10 September 2008
Contents
Part 1
Given the Signal$ y=cos(pi*t) $
Lets say the Sampling rate is 1. Then the Signal is non periodic as seen in the diagram below.
If the sampling frequency is 2 then the Signal is periodic as seen below.
MATLAB CODE
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)')
Part 2
The non Periodic CT Signal is 2^t I made this periodic my shift 2^t from 0 to 4 several times as seen in the picture below
MATLAB CODE
t=0:.001:4; y=2.^t; plot(t,y,t+4,y,t+8,y,t+12,y,t+16,y)
