(→Part A: Periodic Signals Revisited) |
(→Non-Periodic Discrete Time Signal) |
||
| Line 10: | Line 10: | ||
Using the CT signal <math> x(t) = cos(t) </math> and converting it to the DT signal <math> x[n] = cos[n] </math> will create a non-periodic function when n is sampled at every integer. | Using the CT signal <math> x(t) = cos(t) </math> and converting it to the DT signal <math> x[n] = cos[n] </math> will create a non-periodic function when n is sampled at every integer. | ||
| − | + | [[Image:Untitled3_ECE301Fall2008mboutin.jpg]] | |
| − | + | ||
=== Periodic Discrete Time Signal === | === Periodic Discrete Time Signal === | ||
Revision as of 09:55, 10 September 2008
Contents
Part A: Periodic Signals Revisited
Periodic Continuous Time Signal
I used the continuous time signal $ x(t) = cos(t) $, as it seemed many people used in Homework 1 for their example of a periodic function. The signal repeats itself at intervals of $ 2\pi $.
Non-Periodic Discrete Time Signal
Using the CT signal $ x(t) = cos(t) $ and converting it to the DT signal $ x[n] = cos[n] $ will create a non-periodic function when n is sampled at every integer.
Periodic Discrete Time Signal
In order to create a discrete time signal $ x[n] = cos[n] $ that was still periodic, the time interval couldn't be integers, as shown previously. Therefore, a time interval of $ \pi/2 $ was selected.
