The Estimation and Tracking of Frequency

The Estimation and Tracking of Frequency
Author: B. G. Quinn
Publisher: Cambridge University Press
Total Pages: 282
Release: 2001-02-05
Genre: Computers
ISBN: 9780521804462

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This book presents practical techniques for estimating frequencies of signals. Includes Matlab code. For researchers.

The Estimation and Tracking of Frequency

The Estimation and Tracking of Frequency
Author: B. G. Quinn
Publisher: Cambridge University Press
Total Pages: 280
Release: 2001-02-05
Genre: Mathematics
ISBN: 1316584062

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Many electronic and acoustic signals can be modelled as sums of sinusoids and noise. However, the amplitudes, phases and frequencies of the sinusoids are often unknown and must be estimated in order to characterise the periodicity or near-periodicity of a signal and consequently to identify its source. This book presents and analyses several practical techniques used for such estimation. The problem of tracking slow frequency changes over time of a very noisy sinusoid is also considered. Rigorous analyses are presented via asymptotic or large sample theory, together with physical insight. The book focuses on achieving extremely accurate estimates when the signal to noise ratio is low but the sample size is large. Each chapter begins with a detailed overview, and many applications are given. Matlab code for the estimation techniques is also included. The book will thus serve as an excellent introduction and reference for researchers analysing such signals.

Book Review

Book Review
Author: P. Whittle
Publisher:
Total Pages: 0
Release: 2005
Genre:
ISBN:

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Bayesian Estimation and Tracking

Bayesian Estimation and Tracking
Author: Anton J. Haug
Publisher: John Wiley & Sons
Total Pages: 400
Release: 2012-05-29
Genre: Mathematics
ISBN: 1118287800

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A practical approach to estimating and tracking dynamic systems in real-worl applications Much of the literature on performing estimation for non-Gaussian systems is short on practical methodology, while Gaussian methods often lack a cohesive derivation. Bayesian Estimation and Tracking addresses the gap in the field on both accounts, providing readers with a comprehensive overview of methods for estimating both linear and nonlinear dynamic systems driven by Gaussian and non-Gaussian noices. Featuring a unified approach to Bayesian estimation and tracking, the book emphasizes the derivation of all tracking algorithms within a Bayesian framework and describes effective numerical methods for evaluating density-weighted integrals, including linear and nonlinear Kalman filters for Gaussian-weighted integrals and particle filters for non-Gaussian cases. The author first emphasizes detailed derivations from first principles of eeach estimation method and goes on to use illustrative and detailed step-by-step instructions for each method that makes coding of the tracking filter simple and easy to understand. Case studies are employed to showcase applications of the discussed topics. In addition, the book supplies block diagrams for each algorithm, allowing readers to develop their own MATLAB® toolbox of estimation methods. Bayesian Estimation and Tracking is an excellent book for courses on estimation and tracking methods at the graduate level. The book also serves as a valuable reference for research scientists, mathematicians, and engineers seeking a deeper understanding of the topics.

Adaptive Frequency Estimation and New Convergence Properties for the Least Mean Square Algorithm

Adaptive Frequency Estimation and New Convergence Properties for the Least Mean Square Algorithm
Author: Robert Jeffrey Keeler
Publisher:
Total Pages: 188
Release: 1980
Genre: Adaptive filters
ISBN:

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The convergence properties of the least mean square (LMS) algorithm are interpreted in terms of a vector space associated with the coefficients of the adaptive linear prediction filter (ALPF). Signal planes defined in this weight vector space are used to describe the frequency tracking by characteristics of spectral estimators based on the ALPF and are used to explain the effects of both the filter parameters and the algorithm on tracking speed. The performances of three different adaptive frequency estimators derived from the ALPF are compared. Two of these employ Fourier transforms of the coefficients and the third is based on a transform of the ALPF output. Comparisons with the conventional periodogram spectrum estimator are presented in terms of a signal-to-noise ratio (SNR) defined in frequency domain parameters. Specific calculations for one ALPF frequency estimator (The maximum entropy estimator) are used to demonstrate a bias in this estimator.

Time-frequency Signal Analysis--methods and Applications

Time-frequency Signal Analysis--methods and Applications
Author: Boualem Boashash
Publisher:
Total Pages: 570
Release: 1992
Genre: Technology & Engineering
ISBN:

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Examines the advances that have occurred in the development of methods for the analysis of non-stationary signals. It covers instantaneous frequency estimation and tracking, algorithms for computer implementation and a range of applications such as radar, sonar, biomedicine and speech.

Revision to the Frequency Tracking and Estimation Program (Phase-Locked Loop).

Revision to the Frequency Tracking and Estimation Program (Phase-Locked Loop).
Author: Roger M. Golden
Publisher:
Total Pages: 46
Release: 1974
Genre:
ISBN:

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A number of modifications have been incorporated into the Frequency Tracking and Estimation Program (Phase-Locked Loop). The modifications improve the tracking properties of the PLL as well as make the program more convenient to use. A summary of the modifications along with a description of all of the parameters needed by the program is given in this report. (Author).