What Is an Inverse Correlation?

Inverse correlation is the correlation of a function with its own inverse function, or equivalently, the convolution of a function with itself, synonymous with self-convolution. For example, the inverse correlation of seismic traces can be used to describe the multiples associated with the surface.

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The inverse correlation function is currently most commonly used in the AMRA model identification. The ARMA model is used for time series analysis. The steps of model establishment are usually model identification, parameter estimation and diagnostic verification. Model recognition is to use the data and various information generated by the sequence to give valuable subclasses of models with simple parameters. In practice, it is shown that the inverse correlation function explicitly supplements the model structure in the identification of the sparse coefficient model and has reliable application value ^[2] .