Journal ArticleDOI
Single tone parameter estimation from discrete-time observations
D. Rife,R. Boorstyn +1 more
TLDR
Estimation of the parameters of a single-frequency complex tone from a finite number of noisy discrete-time observations is discussed and appropriate Cramer-Rao bounds and maximum-likelihood estimation algorithms are derived.Abstract:
Estimation of the parameters of a single-frequency complex tone from a finite number of noisy discrete-time observations is discussed. The appropriate Cramer-Rao bounds and maximum-likelihood (MI.) estimation algorithms are derived. Some properties of the ML estimators are proved. The relationship of ML estimation to the discrete Fourier transform is exploited to obtain practical algorithms. The threshold effect of one algorithm is analyzed and compared to simulation results. Other simulation results verify other aspects of the analysis.read more
Citations
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Journal ArticleDOI
Permanent scatterers in SAR interferometry
TL;DR: The authors present a complete procedure for the identification and exploitation of stable natural reflectors or permanent scatterers (PSs) starting from long temporal series of interferometric SAR images.
Journal ArticleDOI
Robust frequency and timing synchronization for OFDM
T.M. Schmidl,Donald C. Cox +1 more
TL;DR: A rapid synchronization method is presented for an orthogonal frequency-division multiplexing (OFDM) system using either a continuous transmission or a burst operation over a frequency-selective channel.
Journal ArticleDOI
MUSIC, maximum likelihood, and Cramer-Rao bound
Petre Stoica,Nehorai Arye +1 more
TL;DR: The Cramer-Rao bound (CRB) for the estimation problems is derived, and some useful properties of the CRB covariance matrix are established.
Journal ArticleDOI
Nonlinear subsidence rate estimation using permanent scatterers in differential SAR interferometry
TL;DR: In this article, a new approach to the estimation of the atmospheric phase contributions, and the local displacement field is proposed based on simple statistical assumptions, is presented in order to cope with nonlinear motion of the targets.
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Optical magnetometry - eScholarship
Dmitry Budker,Michael Romalis +1 more
TL;DR: In this article, the basic principles of modern optical magnetometers, discuss fundamental limitations on their performance, and describe recently explored applications for dynamical measurements of biomagnetic fields, detecting signals in NMR and MRI, inertial rotation sensing, magnetic microscopy with cold atoms, and tests of fundamental symmetries of nature.
References
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Journal ArticleDOI
The Fast Fourier Transform and Its Applications
TL;DR: A description of the alogorithm and its programming is given here and followed by a theorem relating its operands, the finite sample sequences, to the continuous functions they often are intended to approximate.
Book
Numerical Methods That Work
TL;DR: Part I. Fundamental Methods: The calculation of functions, Roots of transcendental equations, and the care and treatment of singularities.
Journal ArticleDOI
A guided tour of the fast Fourier transform
TL;DR: This article is intended as a primer on the fast Fourier transform, which has revolutionized the digital processing of waveforms and is needed for a whole new range of applications for this classic mathematical device.
Journal ArticleDOI
What is the fast Fourier transform
W.T. Cochran,J.W. Cooley,D.L. Favin,H. Helms,R. A. Kaenel,W.W. Lang,G. Maling,D.E. Nelson,C. Rader,Peter D. Welch +9 more
TL;DR: The discrete Fourier transform of a time series is defined, some of its properties are discussed, the associated fast method for computing this transform is derived, and some of the computational aspects of the method are presented.
Journal ArticleDOI
Use of the discrete fourier transform in the measurement of frequencies and levels of tones
D. C. Rife,G. A. Vincent +1 more
TL;DR: Simulation results indicate that, through the use of a proper weighting function, a DFT measurement system that uses 512 samples taken at a sampling frequency of 7040 Hz can be designed so that the maximum error in the frequency estimates of two tones near 1000 Hz and separated by approximately 50 Hz is about 0.03 Hz.