2. Introduction to Spectral Analysis Phil Lockett Centre College KAPT meeting March 16, 2013

3. Any Time Signal can be represented by Sums of Cosines and Sines The signal can be represented in either the Time Domain or Frequency Domain

4. Time DomainFrequency Domain

5. PRAAT

6. Spectrogram is the Frequency Spectrum as a function of Time Time Frequency

7. Chirp

8. Tuning Fork Time Signal

9. Tuning Fork Frequency Spectrum 465.82 1/s 931.65 1/s

10. 0.12 time (sec) 10k Hz dBnV time (sec)0.12 AEP Sound input (nuthatch ‘quank’) Spectrogram of AEP Jeff Lucas - Purdue

12. [A] [i] [u]

13. Vowel Formant Average Spectrograms

14. Me saying “ee”

15. Vocal Fold Harmonics: 1 – 127.2 Hz 2 – 254.4 Hz skip to 20 – 2544 Hz Power Spectrum for “ee”

16. “ee”“ah”

17. “schwa” [ə]orThe Vowel

18. Use “schwa” Frequencies to measure Vocal Tract Length By Modeling Vocal Tract as Uniform Tube