Lab Assignment: Application of Fourier Transform to Audio Signals Each music note is defined by its dedicated frequency.

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Lab Assignment Application Of Fourier Transform To Audio Signals Each Music Note Is Defined By Its Dedicated Frequency 1 (273.63 KiB) Viewed 64 times

Lab Assignment: Application of Fourier Transform to Audio Signals Each music note is defined by its dedicated frequency. An octave indicates doubling of the frequency (or, in Chapter 3's language, 2nd harmonic). International standards have the A note above middle C at 440Hz and the frequency of all other notes can be determined easily based on the twelve-tone equal temperament rule (see the figure below). However, many orchestras use a slightly higher tuning frequency, e.g., 441, 442, and 443 Hz, and many classical music masterpieces were composed based on 432 Hz tuning. Anyway, it is possible to use the frequency spectrum to identify the note played by a musical instrument and determine whether it is in or out of tune. In this assignment, you will find two audio files in the package I uploaded on HuskyCT: filelm.mp3 and file2m.mp3. Your tasks in this assignment include: bass Ocť a ve s lower voice upper voice 3 4 5 highs 8 1 7 INNVO 55 I Deliverables Task 1 MATLAB code . Work Import the files into MATLAB using the functions explained in Example 5. Perform Fourier transform on the two signals based on code provided in Example 3. You will need to modify the code appropriately (e.g., constructing the time axis vector t) and choose proper values for variables dw and w. MATLAB code Reason/justification of your selection of dw Task 2 and w. Frequency spectrum resulted from the Fourier transform . Task 3 Determine the musical note(s) played by the audio signal completely based on the musical note frequency table/graph above and the audio signal's frequency spectrum, . Your observations of the Frequency spectrum and comments Your conclusion about the musical note(s) being played Reason/justification of your conclusion Task 4 Perform inverse Fourier transform based on your result from Task 2 and the code provided in Example 4. . MATLAB code . . Task 5 Draw the waveforms of the original audio signal and the one recovered by the inverse Fourier transform in Task 4, and listen to them. MATLAB code Waveform of the original and recovered signals The dimensions (sizes) of the original signal vector and the Fourier transform vector. Discussion about any difference seen/heard. .