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06-28-2007, 05:47 AM
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How to find z-transform of this sequence?
Hi all,
I am facing the following non-homework problem: The sequence Pk for k=0, 1, 2, ... has the Z-transform H(z). And define another sequence by: Qn=Sum( (k-s)*Pk, k from n to +infinity) for n=0, 1, 2, ... where s is a constant. What should be the Z-transform of Qn sequence? Thanks a lot! 
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06-28-2007, 08:57 AM
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Re: How to find z-transform of this sequence?
On 28 Jun., 05:47, "Vista" <a...@gmai.com> wrote:
> Hi all, > > I am facing the following non-homework problem: > > The sequence Pk for k=0, 1, 2, ... > > has the Z-transform H(z). > > And define another sequence by: > > Qn=Sum( (k-s)*Pk, k from n to +infinity) > > for n=0, 1, 2, ... > > where s is a constant. > > What should be the Z-transform of Qn sequence? > > Thanks a lot! You can use two properties of the z-transform to solve this questions: differentiation and linearity. Don't forget to subtract the terms Pk for 0<=k<n. Regards, Andor
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06-28-2007, 01:50 PM
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Re: How to find z-transform of this sequence?
How ?
"Andor" <[email protected]> wrote in message news:[email protected] ups.com... > On 28 Jun., 05:47, "Vista" <a...@gmai.com> wrote: >> Hi all, >> >> I am facing the following non-homework problem: >> >> The sequence Pk for k=0, 1, 2, ... >> >> has the Z-transform H(z). >> >> And define another sequence by: >> >> Qn=Sum( (k-s)*Pk, k from n to +infinity) >> >> for n=0, 1, 2, ... >> >> where s is a constant. >> >> What should be the Z-transform of Qn sequence? >> >> Thanks a lot! > > You can use two properties of the z-transform to solve this questions: > differentiation and linearity. Don't forget to subtract the terms Pk > for 0<=k<n. > > Regards, > Andor >
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