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On computing the discrete Fourier transform of a linear phase sequence

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1 Author(s)
Nagesha, V. ; Dept. of Electr. Eng., Alabama Univ., University, AL, USA

Efficient fast Fourier transform (FFT) algorithms to compute the forward and inverse discrete Fourier transforms (DFT) of a sequence with linear-phase characteristic are examined. These reduce the computational requirements as regards a complex FFT by large factors and should be used whenever applicable. The case when the DFT coefficients are real-valued leads to further reductions in computational requirements. Though the redundancy in the linear-phase situation is exactly 50%, the computational requirements and implementation are quite different from the real-valued FFT which uses a similar symmetry relation. The code for such implementations can be easily written by simple restructuring of a complex FFT algorithm

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Signal Processing, IEEE Transactions on  (Volume:39 ,  Issue: 1 )