| Line 7: | Line 7: | ||
| − | Now, according to the problem statement, | + | Now, according to the problem statement, and let a=b=1 since it is not specified in the problem, |
exp(2jt) -> system -> texp(-2jt) -> *1 -> texp(-2jt) } | exp(2jt) -> system -> texp(-2jt) -> *1 -> texp(-2jt) } | ||
} -> + -> texp(-2jt) + texp(2jt) | } -> + -> texp(-2jt) + texp(2jt) | ||
exp(-2jt) -> system -> texp(2jt) -> *1 -> texp(2jt) } | exp(-2jt) -> system -> texp(2jt) -> *1 -> texp(2jt) } | ||
Revision as of 12:18, 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, and let a=b=1 since it is not specified in the problem,
exp(2jt) -> system -> texp(-2jt) -> *1 -> texp(-2jt) }
} -> + -> texp(-2jt) + texp(2jt)
exp(-2jt) -> system -> texp(2jt) -> *1 -> texp(2jt) }
