A Technique to Compute Smooth Amplitude, Phase, and Frequency Modulations From the Analytic Signal

Venkitaraman, Arun and Seelamantula, Chandra Sekhar (2012) A Technique to Compute Smooth Amplitude, Phase, and Frequency Modulations From the Analytic Signal. In: IEEE SIGNAL PROCESSING LETTERS, 19 (10). pp. 623-626.

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Abstract

Gabor's analytic signal (AS) is a unique complex signal corresponding to a real signal, but in general, it admits infinitely-many combinations of amplitude and frequency modulations (AM and FM, respectively). The standard approach is to enforce a non-negativity constraint on the AM, but this results in discontinuities in the corresponding phase modulation (PM), and hence, an FM with discontinuities particularly when the underlying AM-FM signal is over-modulated. In this letter, we analyze the phase discontinuities and propose a technique to compute smooth AM and FM from the AS, by relaxing the non-negativity constraint on the AM. The proposed technique is effective at handling over-modulated signals. We present simulation results to support the theoretical calculations.

Item Type:	Journal Article
Publication:	IEEE SIGNAL PROCESSING LETTERS
Publisher:	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Additional Information:	Copyright for this article belongs to the IEEE
Keywords:	Analytic signal; amplitude modulation; phase modulation; over-modulation
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	10 Sep 2012 12:17
Last Modified:	10 Sep 2012 12:17
URI:	http://eprints.iisc.ac.in/id/eprint/44991

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