Module 7:Data Representation
  Lecture 35: Wavelets
 

                                            

 

 

Haar wavelets: Theory
  • Wavelet () and scaling () functions:
 
  • Shifting (i) and scaling ( j ):
   
  • Binary dilation (scaling) and dyadic translation (shifting)
  • Coefficients corresponding to are averages or sum coefficients
  • Coefficients corresponding to are differences or detail coefficients