The Hilbert transform in signal processing systems

Abstract

The paper considers characteristics of Hilbert’s integral transform in the time and frequency domains (particularly, at the Hartley transform applications) and the main methods of realization of Hilbert’s digital transformers. The deduced relationships permit to facilitate analysis of the time and spectral characteristics of complex-valued envelopes of analytical signals in the case of digital processing, and to interpret correctly the results of digital spectral analysis based on the Fourier and Hartley transforms.