Hello I need some help with this question.
?[?] = ?1 ∙ ?[? − ?1] + ?2 ∙ ?[?− ?2] + ?1 ∙ ?[?− ?3].
Set a1, a2, and b1 to any positive or negative real numbers of your choice. Set k1, k2, and k3 to any positive integer numbers of your choice (k1 can be zero). Present this equation with the numbers you have chosen. Present the transfer function ?(?) of your filter
I have chosen the values so my equation looks like this
y[?] = 0.4 ∙ ?[?] + 0.6 ∙ ?[?− 1] + 0.8 ∙ ?[?− 2].
I have worked out H(z) to be (0.4 + 0.6z^-1) / 1-0.8z^-2) is this correct?
My questions are
Is this filter an FIR or IIR type?
How do you determine the poles and zero?
How do you determine if the filter is stable or unstable?
Thanks!
Best Answer