Spectrum Reconstruction from Recurrent Nonuniform Sampling with Known Nonuniform Sampling Ratios

Sung-won Park


Recurrent nonuniform sampling, spectrum reconstruction


In this paper, reconstruction of spectrum from recurrent nonuniform sampling using FFT is described. Nonuniform sampling occurs in a very high-speed waveform digitizing system with interleaved A/D converters. We developed a reconstruction algorithm by deriving the relationship between the DFT of a uniformly sampled signal and the DFT of a nonuniformly sampled signal. Some spectra were reconstructed using the proposed algorithm and the results are compared to two existing algorithms: one uses an alternative DFT and the other uses a filter bank technique. The proposed method performed well at lower computational complexity.

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