Relationships Among Digital One/Half Band Filters, Low/High Order Differentiators, and Discrete/Differentiating Hilbert Transformers

There exists a close relationship among digital one/half band filters, low/high order differentiators, and discrete/differentiating Hilbert transformers. The purpose of this correspondence is to present a complete picture of their interrelationships and conversions between each other. A useful table and some block diagrams have been developed for their impulse responses’ connections, and a design example is also given for illustration. © 1992 IEEE