Arbitrary Hilbert Transformer Design Using DST Methods

Abstract

In recent years, various generalized arbitrary order Hilbert transformer have been developed for controlling the phase response. This paper presents the designing approach of Hilbert transform of arbitrary order using discrete sine transform-II. First, the theory of arbitrary order frequency response of Hilbert transformers is reviewed. Then, with the help of the DST-II method determine the filter coefficient. Next, for optimal design values some numerical problems are discussed for the frequency response of window and non-window techniques.