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. This assignment is due in two weeks, and has
been assigned in all three sections.
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 10µs.
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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