# What is spiking deconvolution?

Table of Contents

## What is spiking deconvolution?

Spiking deconvolution shortens the embedded wavelet and attempts to make it as close as possible to a spike. The frequency bandwidth of the data limits the extent to which this is possible. This is also called whitening deconvolution, because it attempts to achieve a flat, or white, spectrum.

## What is seismic deconvolution?

1. n. [Geophysics] A step in seismic signal processing to recover high frequencies, attenuate multiples, equalize amplitudes, produce a zero-phase wavelet or for other purposes that generally affect the waveshape.

## What is predictive deconvolution?

Predictive deconvolution is the use of information from the earlier part of a seismic trace to predict and deconvolve the latter part of that trace. In processing procedure, the information recorded in the field is put into a form that most greatly facilitates geological interpretation.

## What is deconvolution process?

Deconvolution is the process of filtering a signal to compensate for an undesired convolution. The goal of deconvolution is to recreate the signal as it existed before the convolution took place. This usually requires the characteristics of the convolution (i.e., the impulse or frequency response) to be known.

## What should be the result of spiking deconvolution?

(The approximation improves as operator length increases.) This should be expected, since the goal of spiking deconvolution is to flatten the output spectrum. Application of this operator to the input wavelet gives the result shown in frame (k). Ideally, we would like to get a zero-lag spike, as shown in frame (n). What went wrong?

## How is autocorrelation computed in spiking deconvolution?

The autocorrelation matrix on the left side of equation ( 31) is computed from the input seismogram (assumption 6) in the case of spiking deconvolution ( statistical deconvolution ), whereas it is computed directly from the known source wavelet in the case of least-squares inverse filtering ( deterministic deconvolution ).

## What is the amplitude spectrum of spiking deconvolution?

Figure 2.3-2 is a summary of spiking deconvolution based on the Wiener-Levinson algorithm. Frame (a) is the input mixed-phase wavelet. Its amplitude spectrum shown in frame (b) indicates that the wavelet has most of its energy confined to a 10- to 50-Hz range.

## How is spiking deconvolution the same as inverse filtering?

The least-squares inverse filter, which was discussed in Inverse filtering, has the same form as the matrix equation ( 31 ). Therefore, spiking deconvolution is mathematically identical to least-squares inverse filtering. A distinction, however, is made in practice between the two types of filtering.