ztrans don't work

Posted on 2008-09-22 10:06 By roberto pansa (1)

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Dear forum,

I am working with maple 6. I have type the lines below :

> restart:readlib(ztrans):
> ztrans(Delta(t),t,z);

ztrans(Δ(t), t, z) ( this is the reslut)

> ztrans(Step(n),n,z);

ztrans(Step(n), n, z) ( this is the reslut)

In stead of those answers I expexted the follwing according my trainingmanual.

1 for ztrans(Delta(t),t,z);

AND

z / z-1 for ztrans(Step(n),n,z);

Can some one help me with this.

Regards,

Roberto

Step

Comment on 2008-09-22 10:46 from acer ( Maple Rating 4

1377)

> ztrans(charfcn[0](t),t,z);
                                       1


> ztrans(Heaviside(t),t,z);
                                       z
                                     -----
                                     z - 1

I'm not sure why it doesn't like Dirac(t).

That was all in Maple 6.

acer

ztrans of Dirac

Comment on 2008-09-22 11:00 from Robert Israel ( Maple Rating 4

1460)

ztrans(f(t),t,z) = sum(f(n)/z^n, n=0..infinity)

so if f(n) is undefined or infinite for any nonnegative integer n, the Z transform should be undefined.

Dirac(0) is undefined. The Delta(n) used in the z transform literature is 1 at n=0.

thanks

Comment on 2008-09-22 11:29 from acer ( Maple Rating 4