HT Hilbert Transform: adds or replaces imaginary data.

Some of his earlier work related to the Discrete Hilbert Transform dates back to lectures he gave in Göttingen.

The Hilbert Transform in Modulation, Signal and System Theory.

Pick Weighted Estimates for the Hilbert Transform of Odd Functions Georgian Math.

Extracted Regions: the Hilbert Transform, as well as other Fourier manipulations, may not be ideal when applied to extracted regions of a given dimension.

Ephremidze On the Integrability of the Ergodic Hilbert Transform for a Class of Functions with Equal Absolute Values Georgian Math.

Inverse process- ing will usually involve the following steps to retore a spectrum to its original time-domain form: If the imaginary data was deleted previously, reconstruct it using the Hilbert Transform (HT).

This places the information terms in quadrature with each other; the Hilbert Transform of information to be transmitted is utilized to cause constructive addition of one sideband and cancellation of the opposite primary sideband.