Adaptive least-squares for parametric spectral estimation and its application to pulse estimation and deconvolution of seismic data

The method of recursive least-squares will be developed for adaptive parametric spectral estimation of digital signals and applied to adaptive pulse estimation and deconvolution of seismic data. Unlike the Levinson-type deconvolution method, the adaptive least-squares method does not need to estimate a priori the autocorrelation function and it avoids the windowing problem of a time-limited signals. Because of the recursive nature of the method, it is suitable for adaptive estimation and removal of time varying pulses and also it is computationally simple and suitable for implementation on small computers. The method has been implemented on different simulated examples and the results are given and discussed.