Allpole Filters

αp = 0.5
αs = 45
ωs = 2

For the degree n of the filter we have 6 ≤ n ≤ 8

Filter having degree n = 8
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Poles of Filter:
p1 = (-0.18109332,1.0908421)
p2 = (-0.51705877,0.92296081)
p3 = (-0.7762977,0.61523821)
p4 = (-0.91747577,0.21573022)
p5 = (-0.91747577,-0.21573022)
p6 = (-0.7762977,-0.61523821)
p7 = (-0.51705877,-0.92296081)
p8 = (-0.18109332,-1.0908421)

Filter having degree n = 7
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Poles of Filter:
p1 = (-0.16065572,1.0672833)
p2 = (-0.45496351,0.85054118)
p3 = (-0.66443896,0.46922088)
p4 = -0.74026233
p5 = (-0.66443896,-0.46922088)
p6 = (-0.45496351,-0.85054118)
p7 = (-0.16065572,-1.0672833)

Filter having degree n = 6
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Poles of Filter:
p1 = (-0.13148302,1.0360216)
p2 = (-0.36507723,0.75236783)
p3 = (-0.50544807,0.27392155)
p4 = (-0.50544807,-0.27392155)
p5 = (-0.36507723,-0.75236783)
p6 = (-0.13148302,-1.0360216)