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Notes on Digital Signal Processing: Practical Recipes for Design, Analysis and Implementation by C. Britton Rorabaugh

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Note 61. Generating Analytic Signals with FIR Hilbert Transformers

As discussed in Note 60, many DSP applications require the creation of the analytic-like signal that corresponds to some real-valued signal of interest. This note describes just one of several approaches that can be used to generate an analytic-like signal. For an overview of other possible approaches, refer to Note 60.

For a real-valued sequence, x[n], the corresponding analytic-like sequence, xa[n], can be formed as

61.1

image

where

image

and H{·} denotes the discrete Hilbert transform. ...

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