Throughout this assignment, we will be analyzing and synthesizing musical notes….
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In signal processing, two key concepts arise continuously: analysis and synthesis. Analysis is the
act of decomposing a signal into an alternative representation. Synthesis is the act of building a
signal from an alternative representation. We use signal representations to better understand,
manipulate, and generate data. In this lab assignment, we will focus on one very important
representation of signals: the Fourier (or frequency) representation. In fact, this representation
is the topic of most of ECE 3500.
Throughout this assignment, we will be analyzing and synthesizing musical notes. Musical notes
are arranged in groups of twelve, called octaves. The standard frequencies associated with the
twelve notes in an octave of frequencies range from 220 Hz to 440 Hz. We will be using a 12-tone
equal-temperament note scale (i.e., the standard, modern music scale). The frequency 220 Hz is
known as the note ‘A’. Each following note has a frequency of 220 × 2
n/12, where n is the number
of notes higher than ‘A’ (‘A’, ‘A#’, ‘B’, ‘C’, ‘C#’, ‘D’, ‘D#’, ‘E’, ‘F’, ‘F#’, ‘G’, ‘G#’). The next
‘A’ note then starts at a frequency of 440 Hz.
This lab assignment has three learning objectives:
1. To familiarize yourself with Fourier analysis in MATLAB
2. To analyze a simple music piece (in this case, Yankee Doodle) using Fourier analysis
3. To synthesize a musical piece (in this case, music from Beethoven)
4. To engineer solutions for analyzing and synthesizing a complex musical piece
Your experiment will be divided into three parts. In your lab report, you primarily address the
final part of the lab. See the lab report guidelines on the class website for more information.
Attachments:
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