A Fractionally Delaying Complex Hilbert Transform Filter

In this paper, we present a novel complex discrete-time filter. This is a fractionally delaying (FD) Hilbert transform filter (HTF) further called the FD HTF. The filter is based on a pair of rotated variable fractional delay (VFD) filters. It is capable of performing the Hilbertian as well as VFD filtering of the incoming discrete-time signal at the same time. Thus, one can substitute a cascade of the HTF and the VFD filters with an aggregated filter proposed here. The technique is simple to implement. The advantages lie in lower total delay introduced by the compound filter and in a modular structure. The rotated VFD filters in the pair differ only in the value of one parameter - the VFD. The proposed FD HTF can be applied to adaptive quadrature sub-sample estimation of delay.