Consider the second-order bandpass filter shown in Figure
Chapter 6, Problem P6.104(choose chapter or problem)
Consider the second-order bandpass filter shown in Figure P6.104. a. Derive expressions for L and C in terms of the resonant frequency 0 and quality factor Qs. b. Write the KVL equation for the circuit and use it to develop a digital filter that mimics the action of the RLC filter. Use the results of part (a) to write the coefficients in terms of the resonant frequency 0, circuit quality factor Qs, and sampling interval T. (Hint: The circuit equation contains an integral, so differentiate with respect to time to obtain a pure differential equation.) x(t) y(t) + + L C i(t) = y(t) 1 Figure P6.104
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