Allpole Filters

αp = 0.5
αs = 65
ωs = 2

For the degree n of the filter we have 8 ≤ n ≤ 12

Filter having degree n = 12
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Poles of Filter:
p1 = (-0.13625823,1.0781142)
p2 = (-0.39952416,1.0045612)
p3 = (-0.63564513,0.86251908)
p4 = (-0.82852427,0.66173472)
p5 = (-0.96496791,0.4159319)
p6 = (-1.0356169,0.14185669)
p7 = (-1.0356169,-0.14185669)
p8 = (-0.96496791,-0.4159319)
p9 = (-0.82852427,-0.66173472)
p10 = (-0.63564513,-0.86251908)
p11 = (-0.39952416,-1.0045612)
p12 = (-0.13625823,-1.0781142)

Filter having degree n = 11
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Poles of Filter:
p1 = (-0.12736768,1.0694111)
p2 = (-0.37253378,0.98137528)
p3 = (-0.58898437,0.81365932)
p4 = (-0.75865429,0.58094899)
p5 = (-0.86681991,0.30234806)
p6 = -0.90396779
p7 = (-0.86681991,-0.30234806)
p8 = (-0.75865429,-0.58094899)
p9 = (-0.58898437,-0.81365932)
p10 = (-0.37253378,-0.98137528)
p11 = (-0.12736768,-1.0694111)

Filter having degree n = 10
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Poles of Filter:
p1 = (-0.11574436,1.0577583)
p2 = (-0.33840736,0.95030755)
p3 = (-0.53203079,0.75025561)
p4 = (-0.67515044,0.47975099)
p5 = (-0.75112515,0.16496122)
p6 = (-0.75112515,-0.16496122)
p7 = (-0.67515044,-0.47975099)
p8 = (-0.53203079,-0.75025561)
p9 = (-0.33840736,-0.95030755)
p10 = (-0.11574436,-1.0577583)

Filter having degree n = 9
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Poles of Filter:
p1 = (-0.1007825,1.0428162)
p2 = (-0.29486454,0.91067956)
p3 = (-0.45981786,0.67084483)
p4 = (-0.57026971,0.35519646)
p5 = -0.60906778
p6 = (-0.57026971,-0.35519646)
p7 = (-0.45981786,-0.67084483)
p8 = (-0.29486454,-0.91067956)
p9 = (-0.1007825,-1.0428162)

Filter having degree n = 8
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Poles of Filter:
p1 = (-0.081577497,1.0248635)
p2 = (-0.23739574,0.86238313)
p3 = (-0.36307536,0.57239221)
p4 = (-0.43285496,0.20030086)
p5 = (-0.43285496,-0.20030086)
p6 = (-0.36307536,-0.57239221)
p7 = (-0.23739574,-0.86238313)
p8 = (-0.081577497,-1.0248635)