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This study investigates how cell phones affect sound quality by comparing real-life audio to that filtered through a cell phone. Using Audacity, we conducted tests on various sounds, including different musical notes and voices, analyzing frequency response through Fast Fourier Transform (FFT). Our findings reveal that cell phones significantly reduce frequencies above 5000 Hz while adding intermediate frequencies, affecting overall audio clarity. This research highlights the implications of analog-to-digital conversion in mobile communication.
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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