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
Automated Classification of Medical Percussion Signals for the Diagnosis of Pulmonary Injuries
Bhuiyan Moinuddin
- 01 Jan 2013
TL;DR: An attempt is made to automatically decompose clinical percussion signals into a sum of Exponentially Damped Sinusoids (EDS) using Matrix Pencil Method, which in this case form a more natural basis than Fourier harmonics and thus allow for a more robust representation of the signal in the parametric space.
A comparative study of subspace-based methods for 2-D nuclear magnetic resonance spectroscopy signals
Souleymen Sahnoun,El-Hadi Djermoune,David Brie +2 more
- 01 Sep 2010
TL;DR: A comparison survey of low complexity subspace-based methods for 2-D nuclear magnetic resonance (NMR) spectroscopy application focuses on damped sinusoids estimation approaches and their performances using simulated signals.
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Analysis of Millimeter Wave Microstrip Circulator with a Magnetized Ferrite Sphere by FDTD Method with Modified Matrix Pencil Method
Z. B. Ye,Wanchun Tang,S. S. Li +2 more
TL;DR: In this article, the modified matrix pencil (MMP) method is used in the finite difference time domain (FDTD) method to eliminate the late time instability of time domain responses when analyzing the novel microstrip circulator with a magnetized ferrite sphere.
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The Singular Method of Exponential Approximation With its Applications
M. V. Balashkov,V. M. Bogachev +1 more
- 01 Jul 2019
TL;DR: The singular spectral variant of exponential approximation as mentioned in this paper combines the order reduction of a polynomial by the singular method of the matrix beams on the first stage and recovering of the exponential poynomial of reduced order by the method of z-approximation on the second stage.
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