Finite Time Frequency Estimation for Multi-Sinusoidal Signals

The paper presents a method to estimate frequencies of a multi-sinusoidal signal in finite time. Expressing the signal via delayed measurements, we transform this nonlinear problem into a linear regression, where unknown parameters depend on signal frequencies. Dynamic Regressor Extension and Mixing method is used to replace n th order regression model with scalar regression. After, the parameters are estimated separately with the standard gradient descent method . On the last step, the finite time frequency estimate is found algebraically. In contrast to the standard gradient descent method , there is not a trade-off between estimation duration and sensitivity to measurement noise.