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Y(t)-----> '''System'''---->z2(t)<math>\times</math>'''b'''---->b.z2(t) | Y(t)-----> '''System'''---->z2(t)<math>\times</math>'''b'''---->b.z2(t) | ||
| + | |||
| + | |||
| + | a.z1(t)+bz2(t)----->Z(t) equation 1 | ||
| + | |||
| + | |||
| + | and | ||
| + | |||
| + | |||
| + | |||
| + | X(t)<math>\times</math>'''a'''----->w1(t).a | ||
| + | |||
| + | |||
| + | |||
| + | Y(t)<math>\times</math>'''b'''----->w2(t).b | ||
| + | |||
| + | |||
| + | '''now ''' | ||
| + | w1(t).a+w2(t).b------>'''System'''----->W(t) equation 2 | ||
| + | |||
| + | |||
| + | |||
| + | IF eq 1 = eq 2 the '''system is linear'''. | ||
| + | '''a,b''' are complex numbers. | ||
Revision as of 12:21, 12 September 2008
now If
X(t)-----> System---->z1(t)$ \times $a---->a.z1(t)
Y(t)-----> System---->z2(t)$ \times $b---->b.z2(t)
a.z1(t)+bz2(t)----->Z(t) equation 1
and
X(t)$ \times $a----->w1(t).a
Y(t)$ \times $b----->w2(t).b
now
w1(t).a+w2(t).b------>System----->W(t) equation 2
IF eq 1 = eq 2 the system is linear. a,b are complex numbers.
