New Approach for Calculating Inversed Order Sequence in FFT

LIU Daqing; LIN Haoran; CHEN Shuyue

doi:10.11999/JEIT170595

Volume 40 Issue 3

Mar. 2018

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Article Navigation > Journal of Electronics & Information Technology > 2018 > 40(3): 758-762

LIU Daqing, LIN Haoran, CHEN Shuyue. New Approach for Calculating Inversed Order Sequence in FFT[J]. Journal of Electronics & Information Technology, 2018, 40(3): 758-762. doi: 10.11999/JEIT170595

Citation:

LIU Daqing, LIN Haoran, CHEN Shuyue. New Approach for Calculating Inversed Order Sequence in FFT[J]. Journal of Electronics & Information Technology, 2018, 40(3): 758-762. doi: 10.11999/JEIT170595

LIU Daqing, LIN Haoran, CHEN Shuyue. New Approach for Calculating Inversed Order Sequence in FFT[J]. Journal of Electronics & Information Technology, 2018, 40(3): 758-762. doi: 10.11999/JEIT170595

Citation:

LIU Daqing, LIN Haoran, CHEN Shuyue. New Approach for Calculating Inversed Order Sequence in FFT[J]. Journal of Electronics & Information Technology, 2018, 40(3): 758-762. doi: 10.11999/JEIT170595

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New Approach for Calculating Inversed Order Sequence in FFT

doi: 10.11999/JEIT170595

Funds:

The National Natural Science Foundation of China (51176016)

Received Date: 2017-06-21
Rev Recd Date: 2017-11-28
Publish Date: 2018-03-19

Abstract

Abstract

In order to improve the efficiency of Fast Fourier Transform (FFT) and reduce the computation time, an algorithm of inversed order sequence in FFT is studied. It is revealed that the inversed order sequences with different length N are not independent but have a deep connection, that is, the inversed order sequence with length N can be produced by the one with length N/2 according to a specific schedule. Based on the interconnectedness, a new approach for calculating the inversed order sequence with length N is proposed and the corresponding procedure flow is shown. The algorithm is simulated and the correctness of the algorithm is verified. The algorithm not only can be realized simply, but also has high efficiency. Compared with the traditional method, the new algorithm can improve the computing efficiency by three orders of magnitude.
- Digital signal processing,
- Fast Fourier Transformation (FFT),
- Sequence,
- Inversed order

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References(36)

References

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