How to normalize a signal along the frequency axis w [0, 1]












0















I have a signal in the frequency domain (G in my code). I want to normalize it along the frequency axis w [0, 1].



After that, signal will be discretized at ∆w = 0.0001wa up to available
frequency wa = 105 rad/s.



I don't have any idea that how can I normalized my signal along the frequency axis to have the "w" between 0 to 1. ( with the information that I have from my problem).



Thanks for any help or suggestion.



from scipy import signal
import sympy as sp
import matplotlib.pyplot as plt
from scipy.signal import freqs, iirfilter, bilinear, cont2discrete, TransferFunction, hilbert
import numpy as np
import math

wa = 100000

discrete_wa = np.arange(-wa, wa, 0.0001*wa)
def G (w):

G = (((cr1+ 1j*ci1)/(1j*w -(pr1+1j*pi1))) + ((cr2+ 1j*ci2)/(1j*w -(pr2+1j*pi2))) + ((cr3+ 1j*ci3)/(1j*w -(pr1+1j*pi1))))
return G
cr1 = 100;
ci1 = 0;
pr1 = -50 ;
pi1= 200;
cr2 = 1000;
ci2 = 0;
pr2 = -1000 ;
pi2 = 3000;
cr3 = 10000;
ci3 = 0;
pr3 = -7000;
pi3 = 11000;

def F (w):

F = ((1)/(-1-1j*w))
return F

g_dis = [G_(value) for value in discrete_wa]









share|improve this question





























    0















    I have a signal in the frequency domain (G in my code). I want to normalize it along the frequency axis w [0, 1].



    After that, signal will be discretized at ∆w = 0.0001wa up to available
    frequency wa = 105 rad/s.



    I don't have any idea that how can I normalized my signal along the frequency axis to have the "w" between 0 to 1. ( with the information that I have from my problem).



    Thanks for any help or suggestion.



    from scipy import signal
    import sympy as sp
    import matplotlib.pyplot as plt
    from scipy.signal import freqs, iirfilter, bilinear, cont2discrete, TransferFunction, hilbert
    import numpy as np
    import math

    wa = 100000

    discrete_wa = np.arange(-wa, wa, 0.0001*wa)
    def G (w):

    G = (((cr1+ 1j*ci1)/(1j*w -(pr1+1j*pi1))) + ((cr2+ 1j*ci2)/(1j*w -(pr2+1j*pi2))) + ((cr3+ 1j*ci3)/(1j*w -(pr1+1j*pi1))))
    return G
    cr1 = 100;
    ci1 = 0;
    pr1 = -50 ;
    pi1= 200;
    cr2 = 1000;
    ci2 = 0;
    pr2 = -1000 ;
    pi2 = 3000;
    cr3 = 10000;
    ci3 = 0;
    pr3 = -7000;
    pi3 = 11000;

    def F (w):

    F = ((1)/(-1-1j*w))
    return F

    g_dis = [G_(value) for value in discrete_wa]









    share|improve this question



























      0












      0








      0








      I have a signal in the frequency domain (G in my code). I want to normalize it along the frequency axis w [0, 1].



      After that, signal will be discretized at ∆w = 0.0001wa up to available
      frequency wa = 105 rad/s.



      I don't have any idea that how can I normalized my signal along the frequency axis to have the "w" between 0 to 1. ( with the information that I have from my problem).



      Thanks for any help or suggestion.



      from scipy import signal
      import sympy as sp
      import matplotlib.pyplot as plt
      from scipy.signal import freqs, iirfilter, bilinear, cont2discrete, TransferFunction, hilbert
      import numpy as np
      import math

      wa = 100000

      discrete_wa = np.arange(-wa, wa, 0.0001*wa)
      def G (w):

      G = (((cr1+ 1j*ci1)/(1j*w -(pr1+1j*pi1))) + ((cr2+ 1j*ci2)/(1j*w -(pr2+1j*pi2))) + ((cr3+ 1j*ci3)/(1j*w -(pr1+1j*pi1))))
      return G
      cr1 = 100;
      ci1 = 0;
      pr1 = -50 ;
      pi1= 200;
      cr2 = 1000;
      ci2 = 0;
      pr2 = -1000 ;
      pi2 = 3000;
      cr3 = 10000;
      ci3 = 0;
      pr3 = -7000;
      pi3 = 11000;

      def F (w):

      F = ((1)/(-1-1j*w))
      return F

      g_dis = [G_(value) for value in discrete_wa]









      share|improve this question
















      I have a signal in the frequency domain (G in my code). I want to normalize it along the frequency axis w [0, 1].



      After that, signal will be discretized at ∆w = 0.0001wa up to available
      frequency wa = 105 rad/s.



      I don't have any idea that how can I normalized my signal along the frequency axis to have the "w" between 0 to 1. ( with the information that I have from my problem).



      Thanks for any help or suggestion.



      from scipy import signal
      import sympy as sp
      import matplotlib.pyplot as plt
      from scipy.signal import freqs, iirfilter, bilinear, cont2discrete, TransferFunction, hilbert
      import numpy as np
      import math

      wa = 100000

      discrete_wa = np.arange(-wa, wa, 0.0001*wa)
      def G (w):

      G = (((cr1+ 1j*ci1)/(1j*w -(pr1+1j*pi1))) + ((cr2+ 1j*ci2)/(1j*w -(pr2+1j*pi2))) + ((cr3+ 1j*ci3)/(1j*w -(pr1+1j*pi1))))
      return G
      cr1 = 100;
      ci1 = 0;
      pr1 = -50 ;
      pi1= 200;
      cr2 = 1000;
      ci2 = 0;
      pr2 = -1000 ;
      pi2 = 3000;
      cr3 = 10000;
      ci3 = 0;
      pr3 = -7000;
      pi3 = 11000;

      def F (w):

      F = ((1)/(-1-1j*w))
      return F

      g_dis = [G_(value) for value in discrete_wa]






      python filter filtering normalization frequency






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      edited Nov 26 '18 at 21:27







      Amir Reza Jalali

















      asked Nov 26 '18 at 21:21









      Amir Reza JalaliAmir Reza Jalali

      438




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