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Author
Title Non-stationary sinusoidal analysis
URL
Publication Date
Date Accessioned
Discipline/Department Departament de Tecnologies de la Informació i les Comunicacions
University/Publisher Universitat Pompeu Fabra
Abstract Many types of everyday signals fall into the non-stationary sinusoids category. A large family of such signals represent audio, including acoustic/electronic, pitched/transient instrument sounds, human speech/singing voice, and a mixture of all: music. Analysis of such signals has been in the focus of the research community for decades. The main reason for such intense focus is the wide applicability of the research achievements to medical, financial and optical applications, as well as radar/sonar signal processing and system analysis. Accurate estimation of sinusoidal parameters is one of the most common digital signal processing tasks and thus represents an indispensable building block of a wide variety of applications. Classic time-frequency transformations are appropriate only for signals with slowly varying amplitude and frequency content - an assumption often violated in practice. In such cases, reduced readability and the presence of artefacts represent a significant problem. Time and frequency resolu
Subjects/Keywords Sinusoidal analysis; Non-stationary sinusoid; Amplitude modulation; Frequency modulation; Polynomial phase; Generalised sinusoid; Complex polynomial amplitude modulated complex sinusoid with exponential damping; cPACE, cPACED, PACE; Overapping sinusoids; Non-linear analysis; Kernel based analysis; Linear systems of equations; Non-linear systems of equations; Multivariate polynomial systems; Energy reallocation; Reassignment; Generalised reassignment; Distribution derivative; Derivative method; Sinusoidal parameter estimation; Sound analysis; High-resolution analysis; Transient analysis; Time-frequency distributions; Chebyshev polynomial; Adaptive signal analysis; Gamma function; 62
Contributors [email protected] (authoremail); true (authoremailshow); Serra, Xavier (director); Bonada, Jordi, 1973- (director); true (authorsendemail)
Language en
Rights L'accés als continguts d'aquesta tesi queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess [Always confirm rights and permissions with the source record.]
Country of Publication es
Record ID handle:10803/123809
Repository barcelona
Date Indexed 2019-12-30
Issued Date 2013-09-10 00:00:00

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…x28;TF) analysis methods to result in coloured distributions 3 1 4 problem definition (aubechies et al., 2011). It is important to distinguish sinusoidal parameter estimation from representation. For most analysis methods that…

…such intense focus is the wide applicability of the research achievements to medical, financial and optical applications, as well as radar/sonar signal processing and system analysis. Accurate estimation of sinusoidal parameters is one of the most…

…10 problem definition Under such assumptions a performance of an algorithm can be summarised in a single plot per estimation parameter. CRBs for close frequency sinusoids are analytically far more complex even for constant amplitude chirps (Yau…

…artefacts and compact energy representation is assumed. Different model assumptions will lead to different estimators and representations, sharing the same core idea of the energy reallocation. The step from parameter estimation to representation deserves an…

…Heisenberg. The main objective of this thesis is to revise and improve existing methods, and to propose several new approaches for the analysis of non-stationary sinusoids. This dissertation substantially contributes to the existing sinusoidal analysis…

…existing sinusoidal models and d) proposes a very general and flexible sinusoidal model together with a fast, direct ix x resumen estimator. Resumen Muchos tipos de se˜ nales que encontramos a diario pertenecen a la categor´ ıa de sinusoides no…

…aproximaciones nuevas para el an alisis de los modelos sinusoidales existentes i d) propone un modelo sinusoidal muy general y flexible con un algoritmo de an alisis directo y r apido. Preface A sinusoid, by far the most appropriate mathematical…

…analyse are percussive ones. Such very short duration with typically very quickly changing amplitude and unstable/inharmonic frequency content have arisen doubts about adequacy of the aforementioned sinusoidal + noise model. The reason for that is the…

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