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# Frequency Analysis of the Human Voice

Math 451 Project
by

## tiffany tuedor

on 4 June 2013

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#### Transcript of Frequency Analysis of the Human Voice

Lexi Neese and Tiffany Tuedor Frequency Analysis of the Human Voice DATA Physics of the Voice Cavity resonance: “an air cavity that produces a resonant frequency” (hyperphysics)

The shapes of the cavities in humans determine the frequencies in the speech waveform Formants Average Frequency Chart Vocal Triangle Vowel: oo ("boot") Vowel: ee ("beat") a cluster of frequencies
derived from the cavity
resonances of the
human voice

The peaks represent the
dominant frequencies of the
formant in the sound spectrum

Frequency band range = 300 Hz to 3400 Hz Questions: -What effect do consonants have on the frequency analysis?

-What causes the significant percent differences shown in some of the formant comparisons? Function of the FFT (Fast Fourier Transform) in this process Provides dominant frequencies to determine how the ear differentiates certain vowels Vowel: ä ("pot") Vowel: ä ("part") Evaluation:

The male's frequencies may be slightly lower than the female's, but the patterns in the graphs are almost identical. Trial #1 Trial #2 FEMALE MALE Frequency Ratios FEMALE Trial #1 Trial #2 MALE FEMALE MALE Trial #1 Trial #2 Frequency Ratios Frequency Ratios Frequency Ratios FEMALE MALE Trial #1 Trial #2 Possible Sources of Error -Background noise
-Saying sounds with different inflections/tone of voice/accents
-age Citations:
http://www.hdhearing.com/

"Human BioAcoustics Services Available over the Telephone." Human BioAcoustics. N.p., n.d. Web. 03 June 2013. <http://www.humanbioacoustics.com/>

"Voice Fundamentals – Human Speech Frequency." Unified Over IP. N.p., n.d. Web. 03 June 2013. <http://www.uoverip.com/voice-fundamentals-human-speech-frequency/>

"Fast Fourier Transforms." Fast Fourier Transforms. N.p., n.d. Web. 03 June 2013. <http://hyperphysics.phy-astr.gsu.edu/hbase/Math/fft.html>.

"Voice Acoustics: An Introduction." To the Science of Speech and Singing. N.p., n.d. Web. 03 June 2013. <http://www.phys.unsw.edu.au/jw/voice.html>

Peterson and Barney, Journal of the Acoustical Society of America, vol. 24, 1952, pp. 175-84

"Audacity, Inc." Audacity, Inc. N.p., n.d. Web. 03 June 2013. <http://www.audacity.com/> Statement of Problem:
We studied the role of frequencies in the analysis of human speech patterns Analysis of Unknown Sample: If....
F1 = 298
F2 = 2736
F3 = 3563
Then... Vowel = EE (female) Male: Female: Time vs. Amplitude Frequency vs. Amplitude F1 F2 F3 F3 F2 F1 (from the larynx) (human speech) (filtered the vocal tract)
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