Polarity preserving decon in ``N log N'' time |

For example, given only a single seismogram, we may wish to limit the number of degrees of freedom for the filter estimation. We have long known this can be done by smoothing the data spectrum. Another method is to limit the range, or taper the range of coefficients. Such ideas are untried, so not yet compared.

Likewise, many shot waveforms have been recorded and tabulated. Perhaps it makes sense to map these wavelets to the ``lag-log'' space to better understand their statistics.

I see no immediate application, but we might recall that spectral factorization is also applicable for complex-valued signals. Then the spectrum is non-symmetric. This arises when time-dependent signals have been previously Fourier transformed over space.

Shuki asks, ``What about seafloor receivers where there is one ghost, not two?'' I reply, ``Perhaps the same code can be used, but instead of gateing on the range being 3/4 period for the Ricker wavelet, it might be instead 1/4 period for the the primary lobe.

Polarity preserving decon in ``N log N'' time |

2012-05-10