Computing DFT using approximate fast Hartley transform
How Sun Dee, Varun Jeoti
Abstract
How Sun Dee, Varun Jeoti
Abstract
We propose an approximate fast Hartley transform (FHT) based method to compute the discrete Fourier transform (DFT) coefficients approximately. The approximate FHT is implemented using a periodic discrete wavelet transform (DWT). We find that the proposed method is computationally superior to both the radix 2 fast Fourier transform (FFT) and also the radix 2 approximate FFT algorithms.
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We propose an approximate fast Hartley transform (FHT) based method to compute the discrete Fourier transform (DFT) coefficients approximately. The approximate FHT is implemented using a periodic discrete wavelet transform (DWT). We find that the proposed method is computationally superior to both the radix 2 fast Fourier transform (FFT) and also the radix 2 approximate FFT algorithms.
Key concepts: Discrete Hartley transform, Discrete Fourier transform (general), Hartley transform, Split-radix FFT algorithm, Fast Fourier transform, Prime-factor FFT algorithm, Harmonic wavelet transform, Rader's FFT algorithm