Allpole Filters

αp = 0.5
αs = 40
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 = (-0.2152779,1.1138266)
p2 = (-0.61310723,0.94418691)
p3 = (-0.91767771,0.63082159)
p4 = (-1.0825539,0.22149967)
p5 = (-1.0825539,-0.22149967)
p6 = (-0.91767771,-0.63082159)
p7 = (-0.61310723,-0.94418691)
p8 = (-0.2152779,-1.1138266)

Filter having degree n = 7
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Poles of Filter:
p1 = (-0.1971011,1.0918782)
p2 = (-0.55474759,0.87279335)
p3 = (-0.80545394,0.48273752)
p4 = -0.89561489
p5 = (-0.80545394,-0.48273752)
p6 = (-0.55474759,-0.87279335)
p7 = (-0.1971011,-1.0918782)

Filter having degree n = 6
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Poles of Filter:
p1 = (-0.17042214,1.0599315)
p2 = (-0.47176763,0.76994649)
p3 = (-0.65164113,0.28021565)
p4 = (-0.65164113,-0.28021565)
p5 = (-0.47176763,-0.76994649)
p6 = (-0.17042214,-1.0599315)

Filter having degree n = 5
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Poles of Filter:
p1 = (-0.12981201,1.0194261)
p2 = (-0.34202234,0.62772445)
p3 = -0.42442067
p4 = (-0.34202234,-0.62772445)
p5 = (-0.12981201,-1.0194261)