Journal ArticleDOI
Amplitude estimation using IEEE-STD-1057 three-parameter sine wave fit: Statistical distribution, bias and variance
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TLDR
In this article, Correa Alegria et al. generalized the results to include a description of the distribution of the amplitude estimate, with explicit results on bias and variance as by-products.About:
This article is published in Measurement.The article was published on 2010-07-01. It has received 52 citations till now. The article focuses on the topics: Bias of an estimator & Mean squared error.read more
Citations
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Separable Multi-innovation Newton Iterative Modeling Algorithm for Multi-frequency Signals Based on the Sliding Measurement Window
TL;DR: In this article, a separable modeling scheme is presented for estimating the signal parameters in terms of different characteristics between the signal output and signal parameters, in order to seize the real-time information of the signals to be modeled, a sliding measurement window is designed for using the observations dynamically and implementing accurate parameter estimates.
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Extending Rotational Coherence of Interacting Polar Molecules in a Spin-Decoupled Magic Trap.
Frauke Seeßelberg,Xinyuo Luo,Ming Li,Roman Bause,Svetlana Kotochigova,Immanuel Bloch,Immanuel Bloch,Christoph Gohle +7 more
TL;DR: In this paper, the rotational coherence was extended to 8.7(6) ms in a dilute gas of polar molecules in an optical trap, which can be explained by dipolar interactions in the bulk gas.
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Noise Power Estimation by the Three-Parameter and Four-Parameter Sine-Fit Algorithms
TL;DR: The 3PSF-IpDFT algorithm represents the best alternative when estimating the noise power of a sine wave embedded in white noise and requires a much lower computational effort than the 4PSF algorithm.
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Analytical metrological characterization of the three-parameter sine fit algorithm.
TL;DR: Focusing on the amplitude estimation, an approximated statistical characterization of the second order is given in the most general case of zero mean additive noise, whereas the exact probability density function is found for the optimal set of algorithm parameters in the case of additive white Gaussian noise.
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Accuracy analysis of the sine-wave parameters estimation by means of the windowed three-parameter sine-fit algorithm
Daniel Belega,Dario Petri +1 more
TL;DR: This paper investigates the accuracy of the sine-wave parameter estimators provided by the Weighted Three-Parameter Sine-Fit algorithm when a generic cosine window is adopted and shows that the W3PSF algorithm can be well approximated by the classical weighted Discrete Time Fourier Transform (DTFT) when the number of analyzed waveform cycles is high enough.
References
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Fundamentals of statistical signal processing: estimation theory
TL;DR: The Fundamentals of Statistical Signal Processing: Estimation Theory as mentioned in this paper is a seminal work in the field of statistical signal processing, and it has been used extensively in many applications.
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Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables
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Statistical properties of a sine wave plus random noise
TL;DR: A number of statistical properties of such a current which consists of a sinusoidal component plus a random noise component are given here.
Book
Probability, Random Variables and Random Signal Principles
TL;DR: 1 Probability 2 The Random Variable 3 Operations on one Random Variable--Expectation 4 Multiple Random Variables 5 Operations of Multiple Randomvariables 6 Random Processes-Temporal Characteristics 7 Random processes-Spectral Characteristics 8 Linear Systems with Random Inputs 9 Optimum Linear Systems 10 Some Practical Applications of the Theory.
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Properties of the IEEE-STD-1057 four-parameter sine wave fit algorithm
TL;DR: It is shown that the algorithm of IEEE-STD-1057 provides accurate estimates for Gaussian and quantization noise and in the Gaussian scenario it provides estimates with performance close to the derived lower bound.