Brief paper: Simultaneous estimation of the input and output frequencies of nonlinear systems
Automatica (Journal of IFAC)
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Frequency estimation of damped noisy real sinusoid based on linear prediction
SPPRA '08 Proceedings of the Fifth IASTED International Conference on Signal Processing, Pattern Recognition and Applications
Clustering the wireless Ad Hoc networks: A distributed learning automata approach
Journal of Parallel and Distributed Computing
Multi-Sine Fitting Algorithm enhancement for sinusoidal signal characterization
Computer Standards & Interfaces
Efficient frequency estimation of a single real tone based on principal singular value decomposition
Digital Signal Processing
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Based on the linear prediction property of sinusoidal signals, two constrained weighted least squares frequency estimators for multiple real sinusoids embedded in white noise are proposed. In order to achieve accurate frequency estimation, the first algorithm uses a generalized unit-norm constraint, while the second method employs a monic constraint. The weighting matrices in both methods are a function of the frequency parameters and are obtained in an iterative manner. For the case of a single real tone with sufficiently large data samples, both estimators provide nearly identical frequency estimates and their performance approaches Crame´r-Rao lower bound (CRLB) for white Gaussian noise before the threshold effect occurs. Algorithms for closed-form single-tone frequency estimation are also devised. Computer simulations are included to corroborate the theoretical development and to contrast the estimator performance with the CRLB for different frequencies, observation lengths and signal-to-noise ratio (SNR) conditions.