(a) Using the fact that for Q 1 the second-order bandpass response in the neighborhood

Chapter 17, Problem 17.103

(choose chapter or problem)

(a) Using the fact that for Q 1 the second-order bandpass response in the neighborhood of 0 is the same as the response of a first-order low-pass with 3-dB frequency of (0/2Q), show that the bandpass response at = 0 +, for 0, is given by |T(j)| T j0 1+4Q2 /0 2 (b) Use the relationship derived in (a) together with Eq. (17.123) to show that a bandpass amplifier with a 3-dB bandwidth B, designed using N synchronously tuned stages, has an overall transfer function given by T(j) overall = T j0 overall 1+4(21/N 1)(/B) 2N/2 (c) Use the relationship derived in (b) to find the attenuation (in decibels) obtained at a bandwidth 2B for N = 1 to 5. Also find the ratio of the 30-dB bandwidth to the 3-dB bandwidth for N = 1 to 5. = Mult