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EE 2312
Project 2
Due: February 6, 2008
Applications of Difference Equations
This project requires the use of GoldWave and MATLAB software. The MATLAB
is available on the computers in the ECE Department and the WPI network. You can
download the GoldWave software at the site
www.goldwave.com
.
1. The data for this part is the sound file (Signal_1) which is available at the myWPI site.
This sound is a recording of a piano note. We know that the frequency of the note is
above 200 Hz. Use the spectrum of the signal to figure out which note has been
recorded. Due to the poor condition of recording an undesired signal (noise) was also
recorded. What is the center frequency of this undesired signal? What might be the
source of this noise? Design a difference equation that removes the noise from the
signal, and specify the a
i
and b
j
coefficients for the equation.
Assuming a sampling frequency of 8,000 Hz and pure sinusoidal model for the piano
notes, design a difference equation that its impulse response will be the piano note
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This note was uploaded on 10/12/2009 for the course ECE 2312 taught by Professor Hakim during the Spring '09 term at WPI.
 Spring '09
 HAKIM

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