Info Sheet and Syllabus



Spring 2017: MATH 416 Applied Harmonic Analysis: An Introduction to Signal Processing

Radu Balan
  • Office hours: Thurs. 3:30-4:30 pm in CSIC 4131 (CSCAMM)
  • Email: rvbalan at
  • Office: Math 2308 / CSCAMM 4131
  • Office phone: 301 405 5492 / 301 405 1217

Lectures: 11:00am-12:15pm on Tue., Thr., in CSIC 4122. Except when a CSCAMM workshop takes place.

Prerequisites: Minimum grade of C- in MATH 141; and 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and familiarity with MATLAB is required.

Required Textbook: "Mathematics for Multimedia" by Mladen Victor Wickerhauser, Birkhauser 2010 (2nd Edition); available online for free for UMD students.

Additional References:

  • David Kammler, "A First Course in Fourier Analysis", Cambridge University Press 2007 (2nd Edition).
  • Charles L. Epstein, "Introduction to the Mathematics of Medical Imaging", SIAM 2008.
  • Elliott H. Lieb and Michael Loss, "Analysis", AMS 2001.
  • John J. Benedetto, "Harmonic Analysis and Applications", CRC Press 1996.

Description: MATH 416 introduces the mathematical concepts arising in signal analysis from the applied harmonic analysis point of view. Topics include: applied linear algebra, Fourier series, discrete Fourier transform, Fourier transform, Shannon Sampling Theorem, Wavelet transform, wavelet bases, multiresolution analysis, and discrete wavelet transform.

Assignments: Homework must be submitted on the date assigned. Homework must be prepared without consulting any other person. You may however consult any written reference. In this case you should cite the reference. Results taken from the reference should be (re)stated to the notation used in the course. Explanation should be given in complete English sentences. Written work must be legible and clear.

Exams: Two tests will be scheduled during regular class (1h15min long). You are allowed with one one-side formula sheet. The final exam will be 2-hour long, and currently it is scheduled for May 13, 8:00am-10:00am. For the final exam you are allowed with two two-side formula sheets.
Review Sessions: For Test 1: Mar.14, 5:30pm-7:30pm; For Test 2: May 4, 3:30pm-5:30pm; For Final Exam: May 12, 11:00am-1:00pm in CSIC 4122.


  • 20%: homeworks
  • 40%: test1 + test2
  • 40%: final exam