| Line 9: | Line 9: | ||
Now, according to the problem statement, | Now, according to the problem statement, | ||
| − | exp(2jt) -> system -> | + | exp(2jt) -> system -> texp(-2jt) -> *1 -> texp(-2jt) } |
| − | } -> + -> | + | } -> + -> texp(-2jt) + texp(2jt) |
| − | exp(-2jt) -> system -> | + | exp(-2jt) -> system -> texp(2jt) -> *1 -> texp(2jt) } |
Revision as of 12:17, 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 -> texp(-2jt) -> *1 -> texp(-2jt) }
} -> + -> texp(-2jt) + texp(2jt)
exp(-2jt) -> system -> texp(2jt) -> *1 -> texp(2jt) }
