Convex Optimization in Sinusoidal Modeling for Audio Signal Processing. Michelle Daniels PhD Student, University of California, San Diego. Outline. Introduction to sinusoidal modeling Existing approach Proposed optimization post-processing Testing and results Conclusions Future work.
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PhD Student, University of California, San Diego
Classic least-squares problem:
Magnitude and phase recovered as:
MSE* = 2.76x10-5
Optimized:MSE* = 4.13x10-6
*MSE = Mean
For further information:
Change of variables:
The optimization is able to compensate for some of the errors in initial magnitude and phase estimation, resulting in a lower MSE.