For the butterworth filter, in Matlab command:
I find this result:
B = [0.29289 0.58579 0.29289] A = [1 -3.33067e-16 0.17157]
From here I cannot reach the Normalized Butterworth polynomial:
G = [1 1.4142 1]
Nor the poles:
P = [-0.7071+i0.7071 -0.7071-i0.7071]
Which is the relation or the proper parameter i am missing, if any?