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Cell Phone Effect on Sounds. Caleb “Raising the Bar” __________ Max “The World’s Largest 3G Network” __________. Purpose. To use Fourier Analysis to compare a real-life sound to a sound filtered through a cell phone. Our Software: Audacity. A free, open-source digital audio editor. Tests.
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Cell Phone Effect on Sounds Caleb “Raising the Bar” __________ Max “The World’s Largest 3G Network” __________
Purpose • To use Fourier Analysis to compare a real-life sound to a sound filtered through a cell phone
Our Software: Audacity A free, open-source digital audio editor
Tests 0. Nothing (control) • Caleb note • Piano low • Piano medium • Piano high • Tuba Mouthpiece • “background noise” • Background conversation • Caleb voice • Max voice • 440Hz • 3520Hz • 4000Hz
Test #1: Caleb’s Voice Real-life Cellphone
Test #1: Caleb’s Voice Real-life Cellphone
Caleb’s Voice, Zoomed In (.04 second) Real-life Cellphone
Caleb’s Note, Frequencies Spectrum Real-life Cellphone
Real-Life Real-life Cell phone
Everything Cell phone Real-life
Our Findings • Intermediate frequencies added • Frequencies dropoff at 5000 Hz
Background Conversation Real-Life Cell phone
440Hz note Real-Life Cell phone
Max’s Voice Real-Life Cell phone
#1 FFT uses condensed Fourier Series So we know this: And also this:
So we know this: And also this: So we can do this:
How Cell Phones Work • Cell phones are radios! • Cell phones convert analog signal to digital signal and send the digital signal to the cell tower picture credits: wikipedia
Converting from Analog to Digital • The soundwave is sampled every fraction of a second • In this process, frequencies are lost • A lower-resolution sound is produced Courtesy of howstuffworks.com
440Hz note Real-Life Cell phone
Why? • Human hearing range is 12Hz-20000Hz • Humans hear best from 1000-5000Hz Real-life Cell phone
Conclusion • Cell phone reduces sounds above 5000Hz • Cell phone adds intermediate frequencies
Audacity’s Fast Fourier Transform Thanks UMich!
#2 “Fourier Transformation is a Linear Operation” “The transform of a constant times a function is that same constant times the transform of the function” Quoted from Numerical Recipes in C, p497