Design of Low Complexity Nonrecursive Fractional Hilbert Transformer

Abstract

Obtain a low complexity nonrecursive fractional Hilbert transformer with small ripples and narrow transition band explored. The method relies on merging Frequency Response Masking (FRM) and, Frequency transformation (FT) approaches. The frequency response masking approach is a simple multiplierless subfilter that can be obtained by rounding off. On the other hand, the Frequency transformation approach has the benefit of using an identical subfilter repeatedly as the overall architecture. An efficient method is shown by utilizing examples that the merging FRM-FT can achieve reduced computational complexity than earlier methods. The FRM-FT can be of a relatively small length of sample filter because of its ripple size. The final design is less complex compared to the direct approach.