Escuti/Masnari 2007
ECE200 – Fall 2007 – Homework 9
Filters and OperationalAmplifiers
Page 1 of 5
Problem 1 – [10 pts]
The frequency response of a band
pass filter and the power spectrum
of the input signal are shown below.
Find and sketch the power spectrum
of the output signal.
Problem 2 – [16 pts]
The transfer function
(frequency response) of
a certain bandpass filter
is given by
(a)
Calculate the
voltage gain
Av(f) from 0 to
6000 Hz in steps
of 1000 Hz (i.e. a
total of seven
frequencies).
(b)
Find the 3dB
cutoff frequency of the filter using either G(f) or Av(f).
(c)
The following signal is passed through this filter (which has units of Volts). Find the
output signal.
(d)
Find the total signal power at the filter output.
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Escuti/Masnari 2007
ECE200 – Fall 2007 – Homework 9
Filters and OperationalAmplifiers
Page 2 of 5
Problem 3 – [8 pts]
A highpass filter is used to filter
white noise. The power spectrum of
the filter output signal is shown
below.
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 Fall '07
 Escuti
 Amplifier, Frequency, power supply, Bandpass filter, Lowpass filter, voltage gain Av, OperationalAmplifiers Problem

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