Solution Found!
(a) For the second-order notch function with n = 0, show that for the attenuation to be
Chapter 17, Problem 17.15(choose chapter or problem)
(a) For the second-order notch function with n = 0, show that for the attenuation to be greater than A dB over a frequency band BWa, the value of Q is given by Q 0 BWa 10A/10 1 (Hint: First, show that any two frequencies, 1 and 2, at which |T| is the same are related by 12 = 2 0.) (b) Use the result of (a) to show that the 3-dB bandwidth is 0/Q, as indicated in Fig. 17.16(d).
Questions & Answers
QUESTION:
(a) For the second-order notch function with n = 0, show that for the attenuation to be greater than A dB over a frequency band BWa, the value of Q is given by Q 0 BWa 10A/10 1 (Hint: First, show that any two frequencies, 1 and 2, at which |T| is the same are related by 12 = 2 0.) (b) Use the result of (a) to show that the 3-dB bandwidth is 0/Q, as indicated in Fig. 17.16(d).
ANSWER:Step 1 of 5
Part (a)The condition for the second order filter with center frequency,
We know the transfer function for the notch filter is given as,
Here
Substitute 
Therefore, the magnitude of the transfer function is,
