Accurate, Guaranteed Stable, Sliding Discrete Fourier Transform [DSP Tips & Tricks]

@article{Duda2010AccurateGS,
  title={Accurate, Guaranteed Stable, Sliding Discrete Fourier Transform [DSP Tips & Tricks]},
  author={Krzysztof Duda},
  journal={IEEE Signal Processing Magazine},
  year={2010},
  volume={27},
  pages={124-127}
}
This article presented a novel method of computing the SDFT that we call the modulated SDFT (mSDFT). The sliding discrete Fourier transform (SDFT) is a recursive algorithm that computes a DFT on a sample-by-sample basis. The accumulated errors and potential instabilities inherent in traditional SDFT algorithms are drastically reduced in the mSDFT. We removed the twiddle factor from the feedback in a traditional SDFT resonator and thus the finite precision of its representation is no longer a… CONTINUE READING
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