(a) Substituting s = j in the transfer function T(s) of a second-order bandpass filter
Chapter 17, Problem 17.102(choose chapter or problem)
(a) Substituting s = j in the transfer function T(s) of a second-order bandpass filter [see Fig. 17.16(c)], find |T(j)|. For in the vicinity of 0 [i.e., = 0 + = 0 1+/0 , where /0 1 so that 2 2 0 1+2/0 ], show that, for Q 1, |T(j)| T j0 1+4Q2 /0 2 (b) Use the result obtained in (a) to show that the 3-dB bandwidth B, of N synchronously tuned sections connected in cascade, is B = 0/Q 21/N 1 **17.103
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