Description
In this assignment, you will reinforce what we did in lecture today regarding MATLAB’s filter
toolbox. Please include all your work in a .m file. Send the file to nezin@cooper.edu.
For each of the following questions, generate filters using either fdatool or the filter design toolbox
in the signal processing toolbox. Apply the filter to the signal using filter . Lastly, plot the Fourier
Transform of the final result using fft and plot. Refer to the notes for the proper way to use fft and
obtain the proper scaling
1. Generate a signal that consists of a sum of sine waves of frequencies 1 to 50 kHz. Set t to be
from 0 to 2 seconds, using an interval of 0.001s.
signal = (
50000
X
f=1
sin(2πf t))
2. Create a Butterworth lowpass filter with a sampling frequency of Fs = 100 kHz, a passband
frequency of Fpass = 10 kHz, a stopband frequency of Fstop = 20 kHz, a passband attenuation of
Apass = 5dB, and a stopband attenuation of Astop = 50dB.
3. Create a Chebychev I highpass filter with a sampling frequency of Fs = 100 kHz, a passband
frequency of Fpass = 35 kHz, a stopband frequency of Fstop = 15 kHz, a passband attenuation of
Apass = 2dB, and a stopband attenuation of Astop = 40dB.
4. Create a Chebychev II bandstop filter with a sampling frequency of Fs = 100 kHz, a passband
frequency of below the frequency Fpass1 = 5 kHz and above Fpass2 = 45 kHz, a stopband frequency
of between Fstop1 = 15 kHz Fstop2 = 35kHz, a passband attenuation of Apass = 5dB, and a
stopband attenuation of Astop = 50dB.
4. Create a Elliptic bandpass filter with a sampling frequency of Fs = 100 kHz, a stopband
frequency of below the frequency Fstop1 = 15 kHz and above Fstop2 = 35 kHz, a passband
frequency of between Fpass1 = 20 kHz Fpass2 = 30 kHz, a passband attenuation of Apass = 5dB,
and a stopband attenuation of Astop = 50dB.
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