On Perceptual Distortion Minimization and Nonlinear Least-Squares Frequency Estimation

Mads Græsbøll Christensen, Søren Holdt Jensen

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    Abstract

    In this paper, we present a framework for perceptual error minimization and sinusoidal frequency estimation based on a new perceptual distortion measure, and we state its optimal solution. Using this framework, we relate a number of well-known practical methods for perceptual sinusoidal parameter estimation such as the prefiltering method, the weighted matching pursuit, and the perceptual matching pursuit. In particular, we derive and compare the sinusoidal estimation criteria used in these methods. We show that for the sinusoidal estimation problem, the prefiltering method and the weighted matching pursuit are equivalent to the perceptual matching pursuit under certain conditions.
    Original languageEnglish
    JournalI E E E Transactions on Audio, Speech and Language Processing
    Volume14
    Issue number1
    Pages (from-to)99-109
    ISSN1558-7916
    DOIs
    Publication statusPublished - 2006

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