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. A complete picture of their interrelationships and conversions between each other is presented. A useful table and some block diagrams have been developed for their impulse responses' connections, and a design example is given for illustration.<
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