b) Consider the following system describing a resonator : 1 -1 2 - 1-2r cos 0...

  
 
  

 

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b) Consider the following system describing a resonator : 1 -1 2 - 1-2r cos 0 z +r z -2 H(z)= Provide an approximate relation between r, and the frequency of the resonant peak in H(ejo) (in terms of the pole locations). c) Write a script to show the magnitude of the frequency response of the system. Use some values of r in the range 0.7<r<1.0, and for each value find the frequency response using T freqz. Use a constant value of 0=- What happens to the magnitude of the peak and to 4 the bandwidth of the peak as r increases ? d) Using the impz function, find and plot the impulse response of the resonator when r=1, for a non-zero value of 0. b) Consider the following system describing a resonator : 1 -1 2 - 1-2r cos 0 z +r z -2 H(z)= Provide an approximate relation between r, and the frequency of the resonant peak in H(ejo) (in terms of the pole locations). c) Write a script to show the magnitude of the frequency response of the system. Use some values of r in the range 0.7<r<1.0, and for each value find the frequency response using T freqz. Use a constant value of 0=- What happens to the magnitude of the peak and to 4 the bandwidth of the peak as r increases ? d) Using the impz function, find and plot the impulse response of the resonator when r=1, for a non-zero value of 0.

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B C Heres a script in Python that shows the magnitude of the frequency response of the system for different values of r using the freqz function from the scipy library python Copy code import numpy as ... View the full answer