| Line 4: | Line 4: | ||
<br>is not altered by a shift in time | <br>is not altered by a shift in time | ||
<br><br>'''Example of time-invariant''' | <br><br>'''Example of time-invariant''' | ||
| − | <br>< | + | <br>y=e^x |
| + | <br>a simple way to prove this is through the horizontal and vertical line tests. | ||
| + | <br>no horizontal or vertical line pass through the graph of y=e^x twice. | ||
| + | <br><br>'''Example of time-variant''' | ||
| + | <br>y=x^2 | ||
| + | <br>This function fails the horizontal line test, a horizontal line that passes | ||
| + | <br>through the function will cross the function more than once. | ||
Latest revision as of 15:17, 11 September 2008
Homework 2 part D
Definition of Time invariance
A Time Invariant system is a system who's output
is not altered by a shift in time
Example of time-invariant
y=e^x
a simple way to prove this is through the horizontal and vertical line tests.
no horizontal or vertical line pass through the graph of y=e^x twice.
Example of time-variant
y=x^2
This function fails the horizontal line test, a horizontal line that passes
through the function will cross the function more than once.
