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Convert Real and Imaginary part from FFT to bands

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how can I convert real and imaginary part from FFT to octave bands? I know how to do it for Absolute value, but dont know for Re, Im parts.
Thanks

complex-analysis complex-numbers fast-fourier-transform octave

share|cite|improve this question

asked Mar 17 at 13:28

user148733user148733

1

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Pick any functions $h_m : 0ldots N-1 to [0,1]$ such that $sum_m=1^M H_m(k) = 1$ then $x= sum_m=1^M y_m$ where $y_m = FFT^-1[Y_m], Y_m(k) =H_m(k) X(k), X = FFT[x]$. The octaves bands are obtained when $H_m+1(k) approx 1_[2^m,2^m+1]+1_N-[2^m,2^m+1]$
  $endgroup$
  – reuns
  Mar 17 at 18:40
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  what exactly means 1[2m,2m+1]+1N−[2m,2m+1]?
  $endgroup$
  – user148733
  Mar 22 at 13:04
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  And do you mena hm=Hm?
  $endgroup$
  – user148733
  Mar 22 at 13:10
  

  
  
  
  

add a comment | 

0

$begingroup$

how can I convert real and imaginary part from FFT to octave bands? I know how to do it for Absolute value, but dont know for Re, Im parts.
Thanks

complex-analysis complex-numbers fast-fourier-transform octave

share|cite|improve this question

asked Mar 17 at 13:28

user148733user148733

1

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Pick any functions $h_m : 0ldots N-1 to [0,1]$ such that $sum_m=1^M H_m(k) = 1$ then $x= sum_m=1^M y_m$ where $y_m = FFT^-1[Y_m], Y_m(k) =H_m(k) X(k), X = FFT[x]$. The octaves bands are obtained when $H_m+1(k) approx 1_[2^m,2^m+1]+1_N-[2^m,2^m+1]$
  $endgroup$
  – reuns
  Mar 17 at 18:40
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  what exactly means 1[2m,2m+1]+1N−[2m,2m+1]?
  $endgroup$
  – user148733
  Mar 22 at 13:04
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  And do you mena hm=Hm?
  $endgroup$
  – user148733
  Mar 22 at 13:10
  

  
  
  
  

add a comment | 

$begingroup$

how can I convert real and imaginary part from FFT to octave bands? I know how to do it for Absolute value, but dont know for Re, Im parts.
Thanks

complex-analysis complex-numbers fast-fourier-transform octave

share|cite|improve this question

asked Mar 17 at 13:28

user148733user148733

1

$endgroup$

share|cite|improve this question

asked Mar 17 at 13:28

user148733user148733

1

share|cite|improve this question

asked Mar 17 at 13:28

user148733user148733

1

asked Mar 17 at 13:28

user148733user148733

1

asked Mar 17 at 13:28

user148733user148733

1