Title :
An RML algorithm for retrieval of sinusoids with cascaded notch filters
Author :
M´Sirdi, N.K. ; Landau, Ioan Dore
Author_Institution :
Lab. d´Autom. et Robotique, Univ. Pierre et Marie Curie, Paris
Abstract :
To provide frequency estimation, adaptive notch filters implemented in a cascade of second-order cells can be used, along with strategies to track time-varying parameters. The estimated frequencies are then used to provide the estimation of amplitudes and phases in a recursive manner. The proposed RML (recursive maximum-likelihood) algorithm consists of two steps. The first step involves a maximum-likelihood algorithm to adapt the cascaded filter parameters which will provide the frequency estimates. The second step uses these estimates, and the amplitudes and phases are estimated by a recursive-least-squares algorithm The RML algorithm is asymptotically consistent and robust with respect to the neglected dynamics. In the case of time-varying signals its tracking capabilities ensure the goodness of the estimations
Keywords :
digital filters; filtering and prediction theory; least squares approximations; notch filters; signal processing; RML algorithm; adaptive notch filters; amplitudes; cascaded filter parameters; cascaded notch filters; frequency estimates; frequency estimation; phases; recursive maximum-likelihood; recursive-least-squares algorithm; second-order cells; sinusoids retrieval; time-varying parameters; time-varying signals; tracking; Adaptive filters; Amplitude estimation; Computational complexity; Equations; Finite impulse response filter; Frequency estimation; Least squares approximation; Phase estimation; Recursive estimation; Robots;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.197147