Allpole Filters

αp = 3
αs = 50
ωs = 2

For the degree n of the filter we have 5 ≤ n ≤ 8

Filter having degree n = 8
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Poles of Filter:
p1 = (-0.18156466,0.98099495)
p2 = (-0.51730371,0.83129075)
p3 = (-0.7746954,0.55513717)
p4 = (-0.91420066,0.19486579)
p5 = (-0.91420066,-0.19486579)
p6 = (-0.7746954,-0.55513717)
p7 = (-0.51730371,-0.83129075)
p8 = (-0.18156466,-0.98099495)

Filter having degree n = 7
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Poles of Filter:
p1 = (-0.15395741,0.97411218)
p2 = (-0.43622163,0.77581994)
p3 = (-0.63737193,0.42775201)
p4 = -0.71021543
p5 = (-0.63737193,-0.42775201)
p6 = (-0.43622163,-0.77581994)
p7 = (-0.15395741,-0.97411218)

Filter having degree n = 6
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Poles of Filter:
p1 = (-0.11399744,0.96498416)
p2 = (-0.32189864,0.69536571)
p3 = (-0.45149119,0.25212354)
p4 = (-0.45149119,-0.25212354)
p5 = (-0.32189864,-0.69536571)
p6 = (-0.11399744,-0.96498416)

Filter having degree n = 5
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Poles of Filter:
p1 = (-0.062233934,0.96345815)
p2 = (-0.1643239,0.5928174)
p3 = -0.20417994
p4 = (-0.1643239,-0.5928174)
p5 = (-0.062233934,-0.96345815)