1 / 18

EXPLORATIONS OF SIGNAL ANALYSIS IN HIGH SCHOOL AND BEYOND

EXPLORATIONS OF SIGNAL ANALYSIS IN HIGH SCHOOL AND BEYOND. Russell Herman Gabriel Lugo University of North Carolina at Wilmington. Outline. Projects – High School through College Tools Theory Typical Project Examples. Projects. Sounds Music Birds Dolphins EKG-ECG-EEG Ocean Waves.

kasi
Download Presentation

EXPLORATIONS OF SIGNAL ANALYSIS IN HIGH SCHOOL AND BEYOND

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. EXPLORATIONS OF SIGNAL ANALYSIS IN HIGH SCHOOL AND BEYOND Russell Herman Gabriel LugoUniversity 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 • 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 • Sum of Sines • Fourier Analysis • 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 -0.025991*cos(2*pi*1327.0833*t)+0.033382*cos(2*pi*1329.8423*t)+-0.043522*cos(2*pi*1332.6014*t)+ 0.061318*cos(2*pi*1335.3604*t)+-0.081395*cos(2*pi*1338.1194*t)+0.09432*cos(2*pi*1340.8784*t)+ -0.096081*cos(2*pi*1343.6374*t)+0.090427*cos(2*pi*1346.3964*t)+-0.058718*cos(2*pi*1349.1554*t)+ 0.047292*cos(2*pi*1354.6734*t)+-0.090452*cos(2*pi*1357.4324*t)+0.091498*cos(2*pi*1360.1914*t)+ -0.044081*cos(2*pi*1362.9505*t)+-0.03472*cos(2*pi*1365.7095*t)+0.075536*cos(2*pi*1368.4685*t)+ -0.039251*cos(2*pi*1371.2275*t)+-0.058875*cos(2*pi*1373.9865*t)+0.12712*cos(2*pi*1376.7455*t)+ -0.077859*cos(2*pi*1379.5045*t)+-0.062965*cos(2*pi*1382.2635*t)+0.13712*cos(2*pi*1385.0225*t)+ 0.12768*cos(2*pi*1390.5405*t)+0.081571*cos(2*pi*1393.2995*t)+0.070206*cos(2*pi*1396.0586*t)+ -0.022393*cos(2*pi*1398.8176*t)+-0.11979*cos(2*pi*1401.5766*t)+0.094213*cos(2*pi*1407.0946*t)+ 0.06029*cos(2*pi*1409.8536*t)+-0.076122*cos(2*pi*1412.6126*t)+-0.13165*cos(2*pi*1415.3716*t)+ -0.043479*cos(2*pi*1418.1306*t)+0.074439*cos(2*pi*1420.8896*t)+0.13719*cos(2*pi*1423.6486*t)+ 0.08474*cos(2*pi*1426.4077*t)+-0.060982*cos(2*pi*1431.9257*t)+-0.049597*cos(2*pi*1434.6847*t)+ -0.036721*cos(2*pi*1445.7207*t)+-0.024337*cos(2*pi*1448.4797*t)+0.032224*cos(2*pi*1456.7568*t)+ .033543*cos(2*pi*1459.5158*t)+0.024255*cos(2*pi*1465.0338*t)

  18. Vibrating Beams

More Related