Spiking deconvolution for seismic waves using the Fractional Fourier Transform

This paper applies the Fractional Fourier Transform (FrFT) to a collected seismic trace to estimate the Earth's reflectivity function. This is done by computing the FrFT domain `a' in which the source wavelet is as close to a delta (or spiking) function as possible, mimicking the concept of spiking deconvolution. We show by simulation that the proposed method outperforms conventional spiking deconvolution (SD) and time domain deconvolution (TDD) by nearly an order of magnitude over signal-to-noise ratios (SNRs) of -10 to 20 dB.