Signal Analysis and Filtering using one Dimensional Hilbert Transform

Abstract

In the ground of Digital Signal dispensation, the discrete Hilbert Transform has found more and more important. The representation of a signal as the real part of a complex function in time is very much useful in many areas of signal analysis. In this paper, the demonstration of a significant improvement of a real seismic signal in the form of the complex envelope (amplitude and phase ) which may be obtained by using the discrete Hilbert transform techniques. The pulse here considered for the study is similar to the Berlage function that is used to replicate seismic signals. In addition to this, it also presents discussion on the application of Hilbert transform on the spectral factorization which is related to the minimum phase and inverse filters.