Journal ArticleDOI
Using the matrix pencil method to estimate the parameters of a sum of complex exponentials
Tapan K. Sarkar,O. Pereira +1 more
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TLDR
The matrix pencil method is described, which is more robust to noise in the sampled data and has a lower variance of the estimates of the parameters of interest than a polynomial-type method, and is also computationally more efficient.Abstract:
The approximation of a function by a sum of complex exponentials is a problem that is at least two centuries old. Fundamentally, all techniques discussed in this article proceed from using the same sequence of data samples and vary only, but importantly, in how those samples are used in achieving the parameter estimation. All of these techniques, in other words, seek the same quantitative parameters to represent the sampled data, but use different routes to get there. The techniques for estimating the parameters are either linear or nonlinear. The linear techniques are emphasized in this presentation. In particular, the matrix pencil method is described, which is more robust to noise in the sampled data. The matrix pencil approach has a lower variance of the estimates of the parameters of interest than a polynomial-type method (Prony's method belongs to this category), and is also computationally more efficient. A bandpass version of the matrix pencil can be implemented in hardware, utilizing an AT&T DSP32C chip operating in real time. A copy of the computer program implementing the matrix pencil technique is given in the appendix. >read more
Citations
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Journal ArticleDOI
Multilayered media Green's functions in integral equation formulations
TL;DR: In this paper, a compact representation of the electric and magnetic-type dyadic Green's functions for plane-stratified, multilayered, uniaxial media based on the transmission-line network analog along the aids normal to the stratification is given.
Proceedings ArticleDOI
ToneTrack: Leveraging Frequency-Agile Radios for Time-Based Indoor Wireless Localization
TL;DR: ToneTrack as discussed by the authors is an indoor location system that achieves sub-meter accuracy with minimal hardware and antennas, by leveraging frequency-agile wireless networks to increase the effective bandwidth.
Book
Introduction to the Finite-Difference Time-Domain (Fdtd) Method for Electromagnetics
TL;DR: This book guides the reader through the foundational theory of the FDTD method starting with the one-dimensional transmission-line problem and then progressing to the solution of Maxwell's equations in three dimensions.
Journal ArticleDOI
Reducing the Number of Elements in a Linear Antenna Array by the Matrix Pencil Method
TL;DR: This paper introduces a new non-iterative method for linear array synthesis based on the matrix pencil method (MPM), which can synthesize a nonuniform linear array with a reduced number of elements, and can be also used to reduce the number of element for linear arrays designed by other synthesis techniques.
Journal ArticleDOI
Compressed Beamforming in Ultrasound Imaging
TL;DR: This work achieves SNR enhancement, by beamforming the sub-Nyquist samples obtained from multiple elements, by applying this process to cardiac ultrasound data, while achieving a nearly eightfold reduction in sample-rate, compared to standard techniques.
References
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Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Journal ArticleDOI
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.
Journal ArticleDOI
Estimation of frequencies of multiple sinusoids: Making linear prediction perform like maximum likelihood
Donald W. Tufts,Ramdas Kumaresan +1 more
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.
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