Inproceedings,

Computing the Discrete-Time ``Analytic" Signal via FFT

.
Signals, Systems amp; Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on, 2, page 1322--1325. (November 1997)
DOI: 10.1109/ACSSC.1997.679118

Abstract

Starting with a real-valued N-point discrete-time signal, frequency-domain algorithms are provided for computing (1) the complex-valued standard N-point discrete time 'analytic' signal of the same sample rate, (2) the complex-valued decimated N/2-point discrete-time 'analytic' signal of half the original sample rate, and (3) the complex-valued interpolated NM-point discrete-time 'analytic' signal of M times the original sample rate. Special adjustment of transform end points is shown to generate proper discrete-time 'analytic' signals.

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