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Unbiased Estimation of the Phase of a Sinusoid
2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002Estimation of the phase of a sinusoid is an important problem in signal processing. The usual maximum likelihood estimator is biased and so can produce poor results, especially at low signal-to-noise ratios and/or short data records. It is proven that no unbiased estimator exists; based on the proof, several means of obtaining estimators with less bias
Peters, Keith, Kay, Steven
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Estimation of phase for noisy linear phase signals
IEEE Transactions on Signal Processing, 1996It is well-known that a discrete-time symmetric signal has a linear-phase Fourier transform. This paper describes a procedure for estimating the parameters associated with a linear-phase signal from noisy measurements. When the data being modeled is composed of a linear-phase signal corrupted by additive Gaussian noise, the approach taken results in ...
Ramakrishna Kakarala, James A. Cadzow
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A phase-coherence detector/Estimator
ICASSP '79. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005A phase-coherence estimator formed via overlapped Fast Fourier Transform (FFT) processing and smoothing is presented. It is more efficiently implemented than the more usual magnitude squared coherence (MSC), requiring half the memory. In applications where the phase is the dominant component of the coherence, it provides a reliable estimate of the ...
Roberto Berezdivin +2 more
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Phase estimation Under energy conservation
Quantum Information Processing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sen Han, Xueyuan Hu
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Phase-based estimation of synchrophasors
2016 IEEE International Workshop on Applied Measurements for Power Systems (AMPS), 2016One of primary grid management challenge is to ensure that these changing power system operating conditions stay within safe limits at all times including potential and probable future contingencies. In this field, one of the most promising enabling technologies is synchrophasor measurements, which require the estimation of the parameters of sinusoids,
Cuccaro, Pasquale +4 more
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Estimating the phase of synchronized oscillators
Physical Review E, 2008The state of a collection of phase-locked oscillators is determined by a single phase variable or cyclic coordinate. This paper presents a computational method, Phaser, for estimating the phase of phase-locked oscillators from limited amounts of multivariate data in the presence of noise and measurement errors.
Shai, Revzen, John M, Guckenheimer
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Estimating synchronization signal phase
SPIE Proceedings, 2015To read a watermark from printed images requires that the watermarking system read correctly after affine distortions. One way to recover from affine distortions is to add a synchronization signal in the Fourier frequency domain and use this synchronization signal to estimate the applied affine distortion.
Robert G. Lyons, John D. Lord
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Phase estimation by message passing
2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577), 2004The problem of phase estimation in a "turbo receiver" is considered for two different channel models. Several message passing algorithms for phase estimation are derived from the factor graph of the channel models: (1) straight sum-product, applied to a quantized phase model; (2) LMS-type gradient methods; (3) a particle filter.
Justin Dauwels, Hans-Andrea Loeliger
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Frequency Estimation by Phase Unwrapping
IEEE Transactions on Signal Processing, 2010Single frequency estimation is a long-studied problem with application domains including radar, sonar, telecommunications, astronomy and medicine. One method of estimation, called phase unwrapping, attempts to estimate the frequency by performing linear regression on the phase of the received signal.
Robby G. McKilliam +3 more
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Agnostic estimation for phase retrieval
J. Mach. Learn. Res., 2020Summary: The goal of noisy high-dimensional phase retrieval is to estimate an \(s\)-sparse parameter \(\boldsymbol{\beta}^*\in \mathbb{R}^d\) from \(n\) realizations of the model \(Y = (\mathbf{X}^T \boldsymbol{\beta}^*)^2 + \varepsilon \). Based on this model, we propose a significant semi-parametric generalization called misspecified phase retrieval (
Matey Neykov +2 more
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