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Homework 3 Ben Horst: [[HW2.A Ben Horst _ECE301Fall2008mboutin| A]] :: [[HW2.B Ben Horst _ECE301Fall2008mboutin| B]] :: [[HW2.C Ben Horst _ECE301Fall2008mboutin| C]] | Homework 3 Ben Horst: [[HW2.A Ben Horst _ECE301Fall2008mboutin| A]] :: [[HW2.B Ben Horst _ECE301Fall2008mboutin| B]] :: [[HW2.C Ben Horst _ECE301Fall2008mboutin| C]] | ||
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| + | ==Formal Definition of Linearity== | ||
| + | A system is linear if the following conditions are met: | ||
| + | |||
| + | An input x1 yields output y1. | ||
| + | |||
| + | An input x2 yields output y2. | ||
| + | |||
| + | An input that is the sum of a*x1 and b*x2 yields output that is the sum of a*y1 and b*y2. | ||
| + | |||
| + | a and b are any complex constants. | ||
| + | |||
| + | |||
| + | ==Formal Definition of Non-Linearity== | ||
| + | |||
| + | An input x1 yields output y1. | ||
| + | |||
| + | An input x2 yields output y2. | ||
| + | |||
| + | An input that is the sum of a*x1 and b*x2 yields output that cannot be expressed as the sum of a*y1 and b*y2. | ||
| + | |||
| + | a and b are any complex constants. | ||
Revision as of 10:33, 19 September 2008
Homework 3 Ben Horst: A :: B :: C
Formal Definition of Linearity
A system is linear if the following conditions are met:
An input x1 yields output y1.
An input x2 yields output y2.
An input that is the sum of a*x1 and b*x2 yields output that is the sum of a*y1 and b*y2.
a and b are any complex constants.
Formal Definition of Non-Linearity
An input x1 yields output y1.
An input x2 yields output y2.
An input that is the sum of a*x1 and b*x2 yields output that cannot be expressed as the sum of a*y1 and b*y2.
a and b are any complex constants.
