Title
A Technique to Compute Smooth Amplitude, Phase, and Frequency Modulations From the Analytic Signal
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.
Year
DOI
Venue
2012
10.1109/LSP.2012.2209872
Signal Processing Letters, IEEE
Keywords
Field
DocType
Gabor filters,amplitude modulation,frequency modulation,phase modulation,AM-FM signal,Gabor analytic signal,frequency modulation,infinitely-many combinations,nonnegativity constraint,over-modulated signals,phase discontinuity,phase modulation,real signal,smooth amplitude modulation,unique complex signal,Analytic signal,amplitude modulation,over-modulation,phase modulation
Analytic signal,Phase modulation,Mathematical analysis,Control theory,Artificial intelligence,Analog signal,Pattern recognition,Signal transition,Analog transmission,Amplitude modulation,Frequency modulation,Pulse-amplitude modulation,Mathematics
Journal
Volume
Issue
ISSN
19
10
1070-9908
Citations 
PageRank 
References 
4
0.45
4
Authors
2
Name
Order
Citations
PageRank
Arun Venkitaraman140.45
Chandra Sekhar Seelamantula2487.95