NOTES ON MODEL-BASED NON-STATIONARY SINUSOID ESTIMATION METHODS USING DERIVATIVES
Wen Xue, Mark B. Sandler · 2009
This paper reviews the derivative method and explores its capac-ity for estimating time-varying sinusoids of complicated parame-ter variations. The method is reformulated on a generalized sig-nal model. We show that under certain arrangements the estima-tion task becomes solving a linear system, whose coefficients can be computed from discrete samples using an integration-by-parts technique. Previous derivative and reassignment methods are shown to be special cases of this generic method. We include a discussion on the continuity criterion of window design for the derivative method. The effectiveness of the method and the win-dow design criterion are confirmed by test results. We also show that, thanks to the generalization, off-model sinusoids can be ap-proximated by the derivative method with a sufficiently flexible model setting. 1.