TO BE VERIFIED!!!!


#**  Laplace Domain Transfer Functions
#**
#**  H(s) = 1.0/Pn(s)
#**
#**  Tchebycheff Filters
#**
#**  Pn(s) for r = 0.5dB = 1.059, or epsilon = 0.3493
#**
#**  P01a(s) = (1.0+0.349s)
#**  P02a(s) =              (1.0+0.940s+0.659s^2)
#**  P03a(s) = (1.0+1.596s)*(1.0+0.548s+0.875s^2)
#**  P04a(s) =              (1.0+2.376s+2.806s^2)*(1.0+0.330s+0.940s^2)
#**  P05a(s) = (1.0+2.760s)*(1.0+1.230s+2.097s^2)*(1.0+0.216s+0.965s^2)
#**  P06a(s) =              (1.0+3.692s+6.370s^2)*(1.0+0.719s+1.695s^2)*(1.0+0.152s+0.977s^2)
#**  P07a(s) = (1.0+3.904s)*(1.0+1.818s+3.939s^2)*(1.0+0.472s+1.477s^2)*(1.0+0.112s+0.984s^2)
#**  P08a(s) =              (1.0+4.981s+11.36s^2)*(1.0+1.037s+2.788s^2)*(1.0+0.335s+1.349s^2)*(1.0+0.086s+0.988s^2)
#**
#**
#**  Pn(s) for r = 1.0dB = 1.122, or epsilon = 0.5089
#**
#**  P01b(s) = (1.0+0.509s)
#**  P02b(s) =              (1.0+0.996s+0.907s^2)
#**  P03b(s) = (1.0+2.024s)*(1.0+0.497s+1.006s^2)
#**  P04b(s) =              (1.0+2.411s+3.579s^2)*(1.0+0.283s+1.014s^2)
#**  P05b(s) = (1.0+3.454s)*(1.0+1.091s+2.329s^2)*(1.0+0.181s+1.012s^2)
#**  P06b(s) =              (1.0+3.722s+8.019s^2)*(1.0+0.609s+1.793s^2)*(1.0+0.126s+1.009s^2)
#**  P07b(s) = (1.0+4.868s)*(1.0+1.606s+4.339s^2)*(1.0+0.392s+1.530s^2)*(1.0+0.092s+1.007s^2)
#**  P08b(s) =              (1.0+5.010s+14.23s^2)*(1.0+0.876s+2.934s^2)*(1.0+0.276s+1.382s^2)*(1.0+0.070s+1.006s^2)

***********************************************************************************************************************

  Pn(s) for r = 0.5dB = 1.059, or epsilon = 0.3493

  P01a(s) =  0.349          s   + 1.0
  P02a(s) =  0.659          s^2 + 0.940           s   + 1.0
  P03a(s) =  1.3965         s^3 + 1.749608        s^2 + 2.144            s   + 1.0
  P04a(s) =  2.63764        s^4 + 3.15942         s^3 + 4.53008          s^2 + 2.706             s   + 1.0 
  P05a(s) =  5.5851498      s^5 + 6.54973452      s^4 + 10.8242988       s^3 + 7.31864           s^2 + 4.206          s   + 1.0
  P06a(s) = 10.54881555     s^6 + 12.22986349     s^5 + 22.917519836     s^4 + 16.776888296      s^3 + 12.36702       s^2 + 4.563        s   + 1.0
  P07a(s) = 22.349683819008 s^7 + 25.726136152128 s^6 + 53.925574983168  s^5 + 41.782353135808   s^4 + 36.837357456   s^3 + 16.891984    s^2 + 6.306     s   + 1.0
  P08a(s) = 42.21239516416  s^8 + 48.366800352496 s^7 + 112.143321813876 s^6 + 90.71163634709799 s^5 + 92.19204657557 s^4 + 48.482684617 s^3 + 24.212685 s^2 + 6.439 s + 1.0 


  Pn(s) for r = 1.0dB = 1.122, or epsilon = 0.5089

  P01b(s) =  0.509         s   +  1.0
  P02b(s) =  0.907         s^2 +  0.996          s   + 1.0
  P03b(s) =  2.036144      s^3 +  2.011928       s^2 + 2.521           s   + 1.0
  P04b(s) =  3.629106      s^4 +  3.457611       s^3 + 5.275313        s^2 + 2.694           s   + 1.0 
  P05b(s) =  8.140898392   s^5 +  7.626512014    s^4 + 13.747519834    s^3 + 7.931959        s^2 + 4.726          s   + 1.0
  P06b(s) = 14.507469603   s^6 + 13.472767495    s^5 + 28.021670024    s^4 + 17.449011948    s^3 + 13.633404      s^2 + 4.457       s   + 1.0 
  P07b(s) = 32.54326487892 s^7 + 30.041474230688 s^6 + 70.83358917216  s^5 + 46.511492496512 s^4 + 44.199764208   s^3 + 17.863488   s^2 + 6.958     s   + 1.0
  P08b(s) = 58.04583103944 s^8 + 53.39837193216  s^7 + 140.64261375704 s^6 + 96.09272404736  s^5 + 106.6282247792 s^4 + 49.16595648 s^3 + 25.996636 s^2 + 6.232 s + 1.0