a) Derive the expression for the scaled transfer function for the filter designed in Problem 1.
b) Using the expression derived in (a), find the gain (in decibels) at 200 Hz and 1500 Hz.
c) Do the values obtained in part (b) satisfy the filtering specifications given in Problem 1?
Problem 1
a) Design a broadband Butterwörth bandpass filter with a lower cutoff frequency of 500 Hz and an upper cutoff frequency of 4500 Hz. The pass-band gain of the filter is 20 dB. The gain should be down at least 20 dB at 200 dB and 11.25 kHz. Use 15 nF capacitors in the high-pass circuit and 10 kΩ resistors in the low-pass circuit.
b) Draw a circuit diagram of the filter and label all the components.
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