1. EXPLORATIONS OF SIGNAL ANALYSIS IN HIGH SCHOOL AND BEYOND
Russell Herman Gabriel Lugo University of North Carolina at Wilmington

2. Outline Projects – High School through College Tools Theory
Typical Project
Examples

3. Projects
Sounds
Music
Birds
Dolphins
EKG-ECG-EEG
Ocean Waves

4. Tools Sound Editors Theory Support Cool Edit Gold Wave Audacity
PPC Applications
Theory Support
Mathcad, Maple, Matlab
VB Modules
Web Applets

5. Cool Edit

6. Gold Wave

7. Addition of Sines

8. Adding Sine Waves
Birds\Untitled (8.2).wav
Birds\tone.wav
Birds\pt.wav

9. Theory Fourier Series Fourier Analysis Sum of Sines Spectrum Analysis
Harmonic Analysis = +

10. Fourier Series

11. Fourier Series

12. Reconstruction

13. Reconstruction Fourier Expansion: Power Spectrum Comparison between
f(x)and F(x)

14. Typical Project Addition of Sinusoidal Functions
Explorations Using Sound Editors
Picking Out Dominant Frequencies
Reconstruction and Fine Tuning

15. Example #1 - Birds

16. Birds: Reconstruction
Birds\firstbird.wav
Birds\Recbird.wav

17. More Birds Birds\owl2.wav Birds\newowl.wav
*cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t)+
*cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t) *cos(2*pi* *t)

18. Vibrating Beams