Allpole Filters

αp = 1
αs = 45
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 = (-0.19271725,1.0588023)
p2 = (-0.5492025,0.89706095)
p3 = (-0.82269917,0.59892153)
p4 = (-0.97102211,0.21020489)
p5 = (-0.97102211,-0.21020489)
p6 = (-0.82269917,-0.59892153)
p7 = (-0.5492025,-0.89706095)
p8 = (-0.19271725,-1.0588023)

Filter having degree n = 7
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Poles of Filter:
p1 = (-0.17045229,1.0411133)
p2 = (-0.48161786,0.8304201)
p3 = (-0.70190045,0.45842416)
p4 = -0.78146975
p5 = (-0.70190045,-0.45842416)
p6 = (-0.48161786,-0.8304201)
p7 = (-0.17045229,-1.0411133)

Filter having degree n = 6
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Poles of Filter:
p1 = (-0.13828861,1.0164906)
p2 = (-0.38545849,0.73641267)
p3 = (-0.5353101,0.26767185)
p4 = (-0.5353101,-0.26767185)
p5 = (-0.38545849,-0.73641267)
p6 = (-0.13828861,-1.0164906)

Filter having degree n = 5
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Poles of Filter:
p1 = (-0.091867226,0.99051365)
p2 = (-0.24087807,0.61166701)
p3 = -0.29802168
p4 = (-0.24087807,-0.61166701)
p5 = (-0.091867226,-0.99051365)