We propose a new method for super-zooming the position resolution of envelope peak signals using a discrete Fourier transform (DFT) with multiple-warped time-sampling point calculations. Position resolution of warped DFT (WDFT)-based envelope demodulation is nonlinear but can be externally controlled. Compared with previous studies of WDFT-based envelope demodulation, the proposed method further warps the placement of sampling points along the time axis, allowing us to evaluate the envelope with a denser collection of position sampling points. The proposed approach is introduced within the framework of optical frequency comb-based Michelson interferometry. Our experimental results demonstrated the superiority of the proposed algorithm over the conventional WDFT-based method for envelope position resolution. To the best of the authors’ knowledge, this is the first article to provide a definition of multiple-warped DFT and its application to envelope demodulation. The present technique is expected to be useful for high-precision distance measurements for scientific and industrial purposes.
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