Least Square Estimation with Applications to Digital Signal Processing

Least Square Estimation with Applications to Digital Signal Processing
Author: Arthur A. Giordano
Publisher: Wiley-Interscience
Total Pages: 450
Release: 1985-03-07
Genre: Mathematics
ISBN:

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A unified treatment of least squares based on geometric principles. Establishes the mathematical framework of least square estimation, demonstrating the utility and widespread use of these principles in a variety of digital signal processing applications. Presents new least square error algorithms supporting applications in areas such as communications, control, radar, and seismology. Provides numerous examples with algebraic steps outlined.

TESTING OF RECURSIVE AND NON-RECURSIVE ALGORITHMS FOR REAL-TIME PHASOR AND FREQUENCY ESTIMATIONS IN POWER SYSTEMS

TESTING OF RECURSIVE AND NON-RECURSIVE ALGORITHMS FOR REAL-TIME PHASOR AND FREQUENCY ESTIMATIONS IN POWER SYSTEMS
Author:
Publisher:
Total Pages:
Release: 2018
Genre:
ISBN:

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Abstract : Steady-state performance of various recursive and non-recursive algorithms are tested in this report according to the test signals given in the IEEE Standard C37.118.1-2011. Phase magnitude and phase angle of the power grid signals have been estimated using Discrete Fourier Transform (non-recursive), Discrete Fourier Transform (recursive), Least Square, and Wavelet Transform Algorithms. Frequency estimation is performed using Discrete Fourier Transform, Weighted Least Square, and Zero Crossing methods. These algorithms are evaluated in LabView software and tested by generating test signals in a Simulink model. Furthermore, Total Vector Error (TVE) is calculated using dynamic test signals as per the IEEE Standard C37.118-2011. Performance of different algorithms are analyzed for various cases and the value of TVE is compared with the permissible error limits given in the standard.

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.

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.

The Engineering Index Annual

The Engineering Index Annual
Author:
Publisher:
Total Pages: 2264
Release: 1992
Genre: Engineering
ISBN:

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Since its creation in 1884, Engineering Index has covered virtually every major engineering innovation from around the world. It serves as the historical record of virtually every major engineering innovation of the 20th century. Recent content is a vital resource for current awareness, new production information, technological forecasting and competitive intelligence. The world?s most comprehensive interdisciplinary engineering database, Engineering Index contains over 10.7 million records. Each year, over 500,000 new abstracts are added from over 5,000 scholarly journals, trade magazines, and conference proceedings. Coverage spans over 175 engineering disciplines from over 80 countries. Updated weekly.