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waveletmore about wavelet

wavelet


  3  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Wavelet  \Wave"let\,  n. 
  A  little  wave;  a  ripple. 
 
  From  WordNet  r  1.6  [wn]: 
 
  wavelet 
  n  :  a  small  wave  on  the  surface  of  a  liquid  [syn:  {ripple},  {rippling}, 
  {riffle}] 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  wavelet 
 
    A  waveform  that  is  bounded  in  both  frequency  and 
  duration.  Wavelet  tranforms  provide  an  alternative  to  more 
  traditional  {Fourier  transform}s  used  for  analysing  waveforms, 
  e.g.  sound. 
 
  The  {Fourier  transform}  converts  a  signal  into  a  continuous 
  series  of  {sine  wave}s,  each  of  which  is  of  constant  frequency 
  and  amplitude  and  of  infinite  duration.  In  contrast,  most 
  real-world  signals  (such  as  music  or  images)  have  a  finite 
  duration  and  abrupt  changes  in  frequency. 
 
  Wavelet  transforms  convert  a  signal  into  a  series  of  wavelets. 
  In  theory,  signals  processed  by  the  wavelet  transform  can  be 
  stored  more  efficiently  than  ones  processed  by  Fourier 
  transform.  Wavelets  can  also  be  constructed  with  rough  edges, 
  to  better  approximate  real-world  signals. 
 
  For  example,  the  United  States  Federal  Bureau  of  Investigation 
  found  that  Fourier  transforms  proved  inefficient  for 
  approximating  the  whorls  of  fingerprints  but  a  wavelet 
  transform  resulted  in  crisper  reconstructed  images. 
 
  {SBG  Austria  (http://www.mat.sbg.ac.at/~uhl/wav.html)} 
 
  ["Ten  Lectures  on  Wavelets",  Ingrid  Daubechies]. 
 
  (1994-11-09) 
 
 




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