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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 MAP 6465 .01 Wavelets and Their Applications Spring 2001 , 3 credit hours INSTRUCTOR Dr. Ahmed I. Zayed OFFICE MAP 212 OFFICE HOURS 18:00-19:00 TR 20:15-20:45 TR PHONE 3-5989 EMAIL zayed@pegasus.cc.ucf.edu CLASS LOCATION    MAP 233 CLASS TIMES 19:00-20:15 TR TEXTBOOK A Wavelet Tour of Signal Processing, by Stephane Mallat TESTS 2 Midterm Exams, Class Project and Presentation, Final Examination GRADING POLICY Grading is based on the following point system: 2 Midterm Exams (100 points each ), Class Project and Presentation (100 points),Final Examination (200 points) Total number of points (500 points) GRADING SCALE Average Grade 90 - 100% A 80 - 89% B 70 - 79% C 60 - 69% D 0 - 59% F IMPORTANT DATES Spring 2001 Classes Begin Jan.8; Late Registration and Add/Drop Jan.9-12; Application for Grade Forgiveness Deadline Jan.12; Fees Due and Last Day for Full Refund Jan.12; Withdrawal Deadline Mar.2; Classes End; Last Day to Remove Incomplete Apr.23; Final Examination Period Apr.24-30; Grades Due in Registrar's Office May 3; Final Examination: Tuseday, April 24,19:00-21:00 Grades Available on POLARIS and TouchTone May 4, after 9 a.m.; Commencements May 4-5 TENTATIVE LIST OF TOPICS 1) Introduction to Hilbert spaces, orthonormal basis and frames, 2) Review of Fourier series and integrals,3) Time-frequency analysis and the Gabor Transform, 4) The continuous wavelet transform and its inversion formula, 5) The discrete wavelet transform (wavelet series),6) Multiresolution analyses and orthonormal wavelet bases,7) Shannon, Meyer, and Daubechies wavelets,8) Biorthogonal wavelets. OTHER INFORMATION At the end of the semester each student will be requested to present a research article on wavelets from the student's major discipline. The project is worth 100 points.