Design of fractional Hilbert transformer using fractional differencing and different windows

In this paper, first the fractional Hilbert transformer and window functions are defined along with their properties and then the existing design based on fractional differencing filter is improved by using different window functions. Then the comparison of the phase responses are shown between the existing design and the proposed design using different windows. Finally, all the proposed designs are compared to identify the most suitable window for the designing of fractional Hilbert transformer.