What problem and how does the spiking deconvolution algorithm solve

Some aspects of seismic deconvolution are considered. It is shown that the traditional justification of spiking deconvolution is correct only for a minimum-phase wavelet. For a mixed-phase and band-limited wavelet deconvolution solves the problem of expanding the amplitude spectrum within the signal frequency band, and this is achieved by means of autoregressive spectrum estimation.