Allpole Filters

αp = 0.1
αs = 55
ωs = 2

For the degree n of the filter we have 7 ≤ n ≤ 11

Filter having degree n = 11
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Poles of Filter:
p1 = (-0.1493733,1.1511457)
p2 = (-0.43628032,1.0573657)
p3 = (-0.68839196,0.87782014)
p4 = (-0.88513535,0.62749404)
p5 = (-1.010186,0.32681997)
p6 = -1.0530711
p7 = (-1.010186,-0.32681997)
p8 = (-0.88513535,-0.62749404)
p9 = (-0.68839196,-0.87782014)
p10 = (-0.43628032,-1.0573657)
p11 = (-0.1493733,-1.1511457)

Filter having degree n = 10
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Poles of Filter:
p1 = (-0.14095087,1.1347547)
p2 = (-0.4103846,1.0214735)
p3 = (-0.64200334,0.80827075)
p4 = (-0.81188108,0.51768271)
p5 = (-0.90170921,0.17814677)
p6 = (-0.90170921,-0.17814677)
p7 = (-0.81188108,-0.51768271)
p8 = (-0.64200334,-0.80827075)
p9 = (-0.4103846,-1.0214735)
p10 = (-0.14095087,-1.1347547)

Filter having degree n = 9
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Poles of Filter:
p1 = (-0.1299911,1.1132679)
p2 = (-0.37721861,0.97483557)
p3 = (-0.58333031,0.71989307)
p4 = (-0.72005476,0.38170955)
p5 = -0.76790391
p6 = (-0.72005476,-0.38170955)
p7 = (-0.58333031,-0.71989307)
p8 = (-0.37721861,-0.97483557)
p9 = (-0.1299911,-1.1132679)

Filter having degree n = 8
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Poles of Filter:
p1 = (-0.11556232,1.0860407)
p2 = (-0.33290941,0.91590448)
p3 = (-0.50441228,0.60872974)
p4 = (-0.59888466,0.21313439)
p5 = (-0.59888466,-0.21313439)
p6 = (-0.50441228,-0.60872974)
p7 = (-0.33290941,-0.91590448)
p8 = (-0.11556232,-1.0860407)

Filter having degree n = 7
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Poles of Filter:
p1 = (-0.095805232,1.0531751)
p2 = (-0.26986646,0.84287865)
p3 = (-0.39197203,0.46698614)
p4 = -0.43582161
p5 = (-0.39197203,-0.46698614)
p6 = (-0.26986646,-0.84287865)
p7 = (-0.095805232,-1.0531751)