[DSP] radix-2 DIT and DIF algorithms

  1. 1. The problem statement, all variables and given/known data

    Hi,

    I literally can't see difference between DIT and DIF algorithms. Would be kind enough to explain a difference between two algorithms ?

    Both algorithms have the same number of multiplications and additions for given signal:
    [itex]\frac{N}{2}[/itex]log[itex]_{2}[/itex](N) - No. of Multiplications
    Nlog[itex]_{2}[/itex](N) - No. of additions

    Decimation in Time:
    [​IMG]

    Decimation in Frequency:
    [​IMG]

    3. The attempt at a solution
    By looking into butterfly diagrams of both it can be seen that DIT starts from operation on pair of inputs ending on single multiplication at the last stage of FFT where is DIF starts from individual inputs computation ending on computation of pair of inputs.

    In practice, what does that mean? How does that affect system?
     
  2. jcsd
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