Re: SP riddle


Hans Sørensen wrote:

Consider the functions

u1(t) = t step(t),
y1(t) = (t+1)^3 step(t+1),
u2(t) = 3 (t-1) step(t-1), and
y2(t) = 9 step(t).

Give an example of a linear system that transforms u1 to y1 and u2 to
y2!




H(s)= -exp(-s)*Ei(s)+1/s+1/s^2+2/s^3

Hello Hans,

thanks for participating! However, note that the system in question,
while linear, is clearly not time-invariant, as can be derived from the
equations. Thus it does not have a well-defined transfer function (or
impulse response)...

Regards,
Andor

.

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