Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
Yingbo Hua,Tapan K. Sarkar +1 more
TL;DR: It is found through perturbation analysis and simulation that, for signals with unknown damping factors, the pencil method is less sensitive to noise than the polynomial method.
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Abstract: A study of a matrix pencil method for estimating frequencies and damping factors of exponentially damped and/or undamped sinusoids in noise is presented. Comparison of this method to a polynomial method (SVD-Prony method) shows that the matrix pencil method and the polynomial method are two special cases of a matrix prediction approach and that the pencil method is more efficient in computation and less restrictive about signal probes. It is found through perturbation analysis and simulation that, for signals with unknown damping factors, the pencil method is less sensitive to noise than the polynomial method. An expression of the Cramer-Rao bound for the exponential signals is presented. >
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Citations
MODE-type algorithm for estimating damped, undamped or explosive modes
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References
ESPRIT-estimation of signal parameters via rotational invariance techniques
R. Roy,Thomas Kailath +1 more
TL;DR: Although discussed in the context of direction-of-arrival estimation, ESPRIT can be applied to a wide variety of problems including accurate detection and estimation of sinusoids in noise.
7K
•Book
ESPIRT-estimation of signal parameters via rotational invariance techniques
R. Roy,T. Kailath +1 more
- 01 Jun 1989
TL;DR: A novel approach to the general problem of signal parameter estimation is described, and although discussed in the context of direction-of-arrival estimation, ESPRIT can be applied to a wide variety of problems.
4.5K
On spatial smoothing for direction-of-arrival estimation of coherent signals
TL;DR: An analysis of a "spatial smoothing" preprocessing scheme, recently suggested by Evans et al., to circumvent problems encountered in direction-of-arrival estimation of fully correlated signals.
1.9K
ESPRIT--A subspace rotation approach to estimation of parameters of cisoids in noise
TL;DR: The application of a subspace invariance approach (ESPRIT) to the estimation of parameters (frequencies and powers) of cisoids in noise is described, which has several advantages including improved resolution over Pisarenko's technique for harmonic retrieval.
1.1K
Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood
Donald W. Tufts,Ramdas Kumaresan +1 more
- 01 Sep 1982
TL;DR: In this paper, the frequency estimation performance of the forward-backward linear prediction (FBLP) method was improved for short data records and low signal-to-noise ratio (SNR) by using information about the rank M of the signal correlation matrix.
1.1K