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Signals and Systems by Smarajit Ghosh

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11.11 COMPUTATIONAL COMPLEXITY COMPARED TO DIRECT COMPUTATION

Radix-2 DIT FFT algorithm reduces number of computations which are involved in the butterfly operation shown in Fig. 11.14.

 

Computations in one butterfly in which ‘subtraction’ operation avoids multiplication by ‘–1’

 

Fig. 11.14 Computations in one butterfly in which ‘subtraction’ operation avoids multiplication by ‘–1’

 

In the Fig 11.14, b is multiplied by image resulting in one complex multiplication. image and which are obtained by complex addition and subtraction. Therefore, it ...

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