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The New Formulas of Simultaneously Calculating DFT and IDFT of Real Sequences and Its Application in Digital Audio Watermarking

In order to improve the efficient of digital audio watermarking embedding,by exploiting the new formulas of simultaneously calculating the discrete Fourier transform and inverse discrete Fourier transform of a N-real sequence,an improved digital audio watermarking embedding scheme was proposed.From the analysis of DFT's properties and the symmetry of DFT,the new formulas of simultaneously calculating the DFT and IDFT of a real sequence were obtained.The new formulas were applied to digital audio watermarking embedding algorithm.Experiments showed that the new scheme can increase the watermarking embedding performance by 30%.