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Distribution Derivative Method for Generalised Sinusoid With Complex Amplitude Modulation
| Title | Distribution Derivative Method for Generalised Sinusoid With Complex Amplitude Modulation |
| Publication Type | Conference Paper |
| Year of Publication | 2015 |
| Conference Name | International Conference on Digital Audio Effects (DAFx-15) |
| Authors | Musevic, S. , & Bonada J. |
| Conference Start Date | 30/11/2015 |
| Conference Location | Trondheim, Norway |
| ISSN Number | 2413-6700 |
| Full Text | The 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. |
