Journal ArticleDOI
Generalized energy demodulation for large frequency deviations and wideband signals
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TLDR
A generalized energy-operator-based approach that uses frequency transformations derived from multirate operations such as decimation/interpolation and heterodyning is developed and is shown to produce significant reduction of the demodulation error over the conventional ESA, particularly where the modulation index or frequency deviation is large.Abstract:
The Teager-Kaiser energy operator and the related energy separation algorithm (ESA) find numerous applications in various problems related to monocomponent AM-FM demodulation. This energy-operator-based approach, however, applies only to signals with narrowband frequency content, i.e., the information bandwidth and frequency deviation about the carrier are small relative to the carrier frequency. For signals with large frequency deviation, modulation indices, this approximation fails, and the ESA incurs large frequency/amplitude demodulation errors. In this letter, we develop a generalized energy-operator-based approach that uses frequency transformations derived from multirate operations such as decimation/interpolation and heterodyning. This generalized approach is shown to produce significant reduction of the demodulation error over the conventional ESA, particularly where the modulation index or frequency deviation is large.read more
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Journal ArticleDOI
Multicomponent AM–FM Representations: An Asymptotically Exact Approach
TL;DR: A multicomponent sinusoidal model that allows an asymptotically exact reconstruction of nonstationary speech signals, regardless of their duration and without any limitation in the modeling of voiced, unvoiced, and transitional segments is presented.
Journal ArticleDOI
Multiscale AM-FM Demodulation and Image Reconstruction Methods With Improved Accuracy
TL;DR: This work introduces a variable-spacing local linear phase (VS-LLP) method for improved instantaneous frequency (IF) estimation and compares it to an extended quasilocal method and the quasi-eigen function approximation (QEA).
Journal ArticleDOI
Time–frequency analysis of time-varying modulated signals based on improved energy separation by iterative generalized demodulation
TL;DR: In this paper, an iterative generalized demodulation method is used as a preprocessing tool to separate signals into mono-components, so as to satisfy the requirements by energy separation algorithm.
Journal ArticleDOI
Analyzing Image Structure by Multidimensional Frequency Modulation
TL;DR: This work develops a mathematical framework for quantifying and understanding multidimensional frequency modulations in digital images and derives the ordinary differential equations (ODEs) that describe image flowlines.
AM-FM methods for image and video processing
Murray Herrera,Victor Manuel +1 more
TL;DR: Methods for Image and Video Processing by Vı́ctor Manuel Murray Herrera Electrical Engineer, Pontificia Universidad Católica del Perú.
References
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Discrete-Time Signal Processing
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Digital communications
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Communication Systems
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