Distribution Derivative Method for Generalised Sinusoid With Complex Amplitude Modulation

TitleDistribution Derivative Method for Generalised Sinusoid With Complex Amplitude Modulation
Publication TypeConference Paper
Year of Publication2015
Conference NameInternational Conference on Digital Audio Effects (DAFx-15)
AuthorsMusevic, S., & Bonada J.
Conference Start Date30/11/2015
Conference LocationTrondheim, Norway
ISSN Number2413-6700
Full TextThe most common sinusoidal models for non-stationary analysis represent either complex amplitude modulated exponentials with exponential damping(cPACED) or log-amplitude/frequency modulated exponentials (generalised sinusoids), by far the most commonly used modulation function being polynomials for both signal families. Attempts to tackle a hybrid sinusoidal model, i.e. a generalised sinusoid with complex amplitude modulation were relying on approximations and iterative improvement due to absence of a tractable analytical expression for their Fourier Transform. In this work a simple, direct solution for the aforementioned model is presented.
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