Re: BIBO stability

nisky wrote:
Hi all,

well, i struggled with this one for a while:

is h(t)=2*sin(wt)*cos(Wt)/(pi*t) an impulse responce of a BIBO stable
system? How can I prove it?

I had several directions, but all of them lead me close but not close
enough

One direction is:
h(t)=2(sinc((w+W)t)+sinc((w-W)t)) so I can think of it as a connection in
parralel of two ideal low-pass filters, which are both not BIBO stable,
but this does not insure that the whole system is unstable

For the case where w=W it is a simple lawpass filter, which is not Bibo
stable...

I tryed to prove absolute integrability (or non-integrability), but so far
without success...

Thanks for the help

Ilana

Why do you say that the ideal low-pass filters are not BIBO stable? The impulse response you give has a finite amount of energy in it, and it goes to zero over time -- that says "BIBO stable" to me.

--

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com

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"Applied Control Theory for Embedded Systems" gives you just what it says.
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