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Confused with finding Y when using the 3rd step of FFT



The Next CEO of Stack OverflowRewriting matrix equation into terms of $t$How can you expand the adjoint of a matrix into a polynomial with matrix coefficients?What is the Permutation Matrix in FFT DFT Factorization?Doesn't the recursive Fast Fourier Transform violate f(-x) =/= f(x) for odd functions?Extracting vector containing the elements of the main diagonal of a matrixFinding a solution when the determinant is zeroSolving differential equation using FFT: dealing with zero frequenciesdifferent result of discrete fourier transformHow to solve matrix differential equation $dot P (t) = P(t) S(t) P(t) - Q$?Row reduction as matrix multiplication help?










0












$begingroup$


As far as I know, the 3 steps of FFT while solving $F_nc = y$ :



  1. Split c into c', c'' such that c' contains elements with even indexes from c and c'' contains the odd ones.


  2. Now we have $F_mc' = y'$ and $F_mc' = y''$ where $m = n/2$


  3. To combine $y',y''$ we use the formula


but while I was solving a problem, the solution was just:
$beginbmatrix
y' \
y''
endbmatrix = y$










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    As far as I know, the 3 steps of FFT while solving $F_nc = y$ :



    1. Split c into c', c'' such that c' contains elements with even indexes from c and c'' contains the odd ones.


    2. Now we have $F_mc' = y'$ and $F_mc' = y''$ where $m = n/2$


    3. To combine $y',y''$ we use the formula


    but while I was solving a problem, the solution was just:
    $beginbmatrix
    y' \
    y''
    endbmatrix = y$










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      As far as I know, the 3 steps of FFT while solving $F_nc = y$ :



      1. Split c into c', c'' such that c' contains elements with even indexes from c and c'' contains the odd ones.


      2. Now we have $F_mc' = y'$ and $F_mc' = y''$ where $m = n/2$


      3. To combine $y',y''$ we use the formula


      but while I was solving a problem, the solution was just:
      $beginbmatrix
      y' \
      y''
      endbmatrix = y$










      share|cite|improve this question









      $endgroup$




      As far as I know, the 3 steps of FFT while solving $F_nc = y$ :



      1. Split c into c', c'' such that c' contains elements with even indexes from c and c'' contains the odd ones.


      2. Now we have $F_mc' = y'$ and $F_mc' = y''$ where $m = n/2$


      3. To combine $y',y''$ we use the formula


      but while I was solving a problem, the solution was just:
      $beginbmatrix
      y' \
      y''
      endbmatrix = y$







      matrix-equations fourier-transform fast-fourier-transform






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 27 at 19:21









      Mohamad Ziad AlkabakibiMohamad Ziad Alkabakibi

      11




      11




















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