periodic multiresolution analysis
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scholarly journals Optimal functions for a periodic uncertainty principle and multiresolution analysis

1999 ◽  
Vol 42 (2) ◽  
pp. 225-242 ◽  
Author(s):  
Jürgen Prestin ◽  
Ewald Quak
Keyword(s):  
Uncertainty Principle ◽  
Multiresolution Analysis ◽  
Theta Functions ◽  
Extremal Functions ◽  
Asymptotically Optimal ◽  
Time Frequency ◽  
Periodic Multiresolution Analysis ◽  
Optimal Functions

In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3]. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.

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