(New page: == The Basics of Linearity == According to the definition of linearity given in class, x1(t) -> system -> y1(t) -> *a -> ay1(t) } } -> + -> ay1(t) + by2(t...) |
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} -> + -> ay1(t) + by2(t) | } -> + -> ay1(t) + by2(t) | ||
x2(t) -> system -> y2(t) -> *b -> by2(t) } | x2(t) -> system -> y2(t) -> *b -> by2(t) } | ||
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| + | Now, according to the problem statement, | ||
| + | |||
| + | exp(2jt) -> system -> exp(-2jt) -> *1 -> exp(-2jt) } | ||
| + | } -> + -> exp(-2jt) + exp(2jt) | ||
| + | exp(-2jt) -> system -> exp(2jt) -> *1 -> exp(2jt) } | ||
Revision as of 12:15, 16 September 2008
The Basics of Linearity
According to the definition of linearity given in class,
x1(t) -> system -> y1(t) -> *a -> ay1(t) }
} -> + -> ay1(t) + by2(t)
x2(t) -> system -> y2(t) -> *b -> by2(t) }
Now, according to the problem statement,
exp(2jt) -> system -> exp(-2jt) -> *1 -> exp(-2jt) }
} -> + -> exp(-2jt) + exp(2jt)
exp(-2jt) -> system -> exp(2jt) -> *1 -> exp(2jt) }
