The op amp circuit below is called the NORMALIZED Delyiannis-Friend 2nd Order BP

Question

The op amp circuit below is called the NORMALIZED Delyiannis-Friend 2nd Order BP Circuit. It is often used at the front end of a receiver to "amplify" small micro-volt signals coming off an antenna. With transfer The AM Frequency range is 525 kHz to 1625 kHz. The bandwidth of this range would be B_w,Hz = 1625-525= 1100 kHz. The center frequency, of this band would be the geometric mean of the end frequencies. You are to use the DF circuit to design a BP filter circuit that "passes" and slightly amplifies this frequency range. Determine B_w,rads. Determine the center frequency, f_p, rounded to the nearest integer in kHz. and then find omega_p. Determine the Q of the needed circuit. Let the subscript N denote normalized parameter values. Compute R_1N,R_2N,C_1N, and C_2N for the normalized design which realizes the transfer function H_NBP(s). Determine the frequency scale factor,K_f, so that the center frequency is moved to the value computed in step (a). Then compute K_m so that the smallest resistor present in the circuit is 2 k ohm. Determine the final parameter values, R_1,R_2,C_1, and C_2, for the realization of the desired bandpass amplifier. What is the maximum gain of the amplifier? Since this circuit would filter out much of the unwanted frequency band, it would be followed by other amplifiers until a reasonable signal level is obtained before entering a tuner and final amplification for audio.

Explanation / Answer

a.769kHz b.fp=725KHz , wp=0.957 c.150 d.R1N=2k R2N=6K

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