I want to implement a filter on discrete system in Matlab. The filter is A(z)= z^3 + a1 z^2 + a2 z +a3, where as I need to apply it on y(k)=(1/A(z))*u(k). Here 'k' is discrete variable and 'z' is time shift operator. Here u(k) is input vector of discrete values i.e. a vector.
Hi Zlatan,
I really appreciate your answer but here are somethings I need to explain. First I cant control those constants as they are estimated parameters in each iteration, So with every iteration they change.
Secondly, when I convert my filter equation from z to z^-1, it becomes in rational form
A(z)= z^-3/ (1+a1 z^-1 + a2 z^-2 + a3 z^-3). I think you said I must implement it in this form, but as I dont have control to make a1+a2+a3=1 what would you suggest.
Lastly, I think you meant y=a3*u3+a2*u2+a1*u1+a0*u; and not y=a3*u2+a2*u2+a1*u1+a0*u; as you mentioned above.
Thanks,
Fahad
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