In signal processing, Hilbert transform is used as an analytical tool. Hilbert Transform (HT) is useful in certain kinds of modulation schemes and also for bounded signals. The overall narrow band signals can be easily interpreted in terms of amplitude and frequency modulation. The various applications are present in magnetic recording, filter designing, edge detection and image processing. Key...

We propose Hilbert transform and analytic signal construction for signals over graphs. This is motivated by the popularity of Hilbert transform, analytic signal, and modulation analysis in conventional signal processing, and the observation that complementary insight is often obtained by viewing conventional signals in the graph setting. Our definitions of Hilbert transform and analytic signal ...

The Hilbert and Fourier transforms are tools used for signal analysis in the time/frequency domains. The Hilbert transform is applied to casual continuous signals. The majority of the practical signals are discrete signals and they are limited in time. It appeared therefore the need to create numeric algorithms for the Hilbert transform. Such an algorithm is a numeric operator, named the Discre...