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signals and systems
- Thread starter juhir
- Start date
thingmaker3
- Joined May 16, 2005
- 5,083
What have you come up with thus far in your own efforts?
One way to solve these problems is to make a graph of the function. You will be able to tell whether they are periodic, and will be able to calculate any period easily.
Another way to solve these problems is to compare the function to known periodic functions and look for similarities.
One way to solve these problems is to make a graph of the function. You will be able to tell whether they are periodic, and will be able to calculate any period easily.
Another way to solve these problems is to compare the function to known periodic functions and look for similarities.
Can u solve it and give
thingmaker3
- Joined May 16, 2005
- 5,083
No. Please review: http://forum.allaboutcircuits.com/showthread.php?t=3002
You can prove that a signal is periodic if it repeats itself. The way to describe this concept mathematically is:
\(
x(t) = x(t+T)
\)
Basically, x(t) is equal to itself \(T\) seconds later. You can generalize this as follows
\(
x(t) = x(t+nT) \ \forall\ n
\)
x(t) is equal to itself every \(nT\) seconds, where \(n\) is any integer.
If I remember my linear systems class correctly satisfying the first equation is enough to prove periodicity, but I would check with your notes to see what your professor wants.
\(
x(t) = x(t+T)
\)
Basically, x(t) is equal to itself \(T\) seconds later. You can generalize this as follows
\(
x(t) = x(t+nT) \ \forall\ n
\)
x(t) is equal to itself every \(nT\) seconds, where \(n\) is any integer.
If I remember my linear systems class correctly satisfying the first equation is enough to prove periodicity, but I would check with your notes to see what your professor wants.
