Anton Fahlgren: Wavelets on Z_n
Presentation of bachelor's thesis in mathematics.
Time: Thu 2016-06-16 13.00 - 14.00
Location: Room 32, House 5, Kräftriket, Department of Mathematics, Stockholm University
Supervisor: Salvador Rodriguez-Lopez
Abstract:
In this text we lay the foundations of the theory of discrete wavelets in Z_n
and show its usefulness with practical examples. We discuss the problem of simultaneous localization in the time and frequency domains and the uncertainty principle, which motivates the construction of wavelets. We define and prove the validity of multiresolution analysis and give examples of its use in signal compression.