Statistical Signal Processing of Complex-valued Data

Statistical Signal Processing of Complex-valued Data PDF Author: Peter J. Schreier
Publisher:
ISBN: 9780511678974
Category :
Languages : en
Pages : 331

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Statistical Signal Processing of Complex-valued Data

Statistical Signal Processing of Complex-valued Data PDF Author: Peter J. Schreier
Publisher:
ISBN: 9780511678974
Category :
Languages : en
Pages : 331

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Book Description


Statistical Signal Processing of Complex-Valued Data

Statistical Signal Processing of Complex-Valued Data PDF Author: Peter J. Schreier
Publisher: Cambridge University Press
ISBN: 1139487620
Category : Technology & Engineering
Languages : en
Pages : 331

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Book Description
Complex-valued random signals are embedded in the very fabric of science and engineering, yet the usual assumptions made about their statistical behavior are often a poor representation of the underlying physics. This book deals with improper and noncircular complex signals, which do not conform to classical assumptions, and it demonstrates how correct treatment of these signals can have significant payoffs. The book begins with detailed coverage of the fundamental theory and presents a variety of tools and algorithms for dealing with improper and noncircular signals. It provides a comprehensive account of the main applications, covering detection, estimation, and signal analysis of stationary, nonstationary, and cyclostationary processes. Providing a systematic development from the origin of complex signals to their probabilistic description makes the theory accessible to newcomers. This book is ideal for graduate students and researchers working with complex data in a range of research areas from communications to oceanography.

Blind Identification and Separation of Complex-valued Signals

Blind Identification and Separation of Complex-valued Signals PDF Author: Eric Moreau
Publisher: John Wiley & Sons
ISBN: 1848214596
Category : Technology & Engineering
Languages : en
Pages : 112

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Book Description
Blind identification consists of estimating a multi-dimensional system only through the use of its output, and source separation, the blind estimation of the inverse of the system. Estimation is generally carried out using different statistics of the output. The authors of this book consider the blind identification and source separation problem in the complex-domain, where the available statistical properties are richer and include non-circularity of the sources – underlying components. They define identifiability conditions and present state-of-the-art algorithms that are based on algebraic methods as well as iterative algorithms based on maximum likelihood theory. Contents 1. Mathematical Preliminaries. 2. Estimation by Joint Diagonalization. 3. Maximum Likelihood ICA. About the Authors Eric Moreau is Professor of Electrical Engineering at the University of Toulon, France. His research interests concern statistical signal processing, high order statistics and matrix/tensor decompositions with applications to data analysis, telecommunications and radar. Tülay Adali is Professor of Electrical Engineering and Director of the Machine Learning for Signal Processing Laboratory at the University of Maryland, Baltimore County, USA. Her research interests concern statistical and adaptive signal processing, with an emphasis on nonlinear and complex-valued signal processing, and applications in biomedical data analysis and communications. Blind identification consists of estimating a multidimensional system through the use of only its output. Source separation is concerned with the blind estimation of the inverse of the system. The estimation is generally performed by using different statistics of the outputs. The authors consider the blind estimation of a multiple input/multiple output (MIMO) system that mixes a number of underlying signals of interest called sources. They also consider the case of direct estimation of the inverse system for the purpose of source separation. They then describe the estimation theory associated with the identifiability conditions and dedicated algebraic algorithms. The algorithms depend critically on (statistical and/or time frequency) properties of complex sources that will be precisely described.

Statistical Signal Processing

Statistical Signal Processing PDF Author: Swagata Nandi
Publisher: Springer Nature
ISBN: 9811562806
Category : Computers
Languages : en
Pages : 265

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Book Description
This book introduces readers to various signal processing models that have been used in analyzing periodic data, and discusses the statistical and computational methods involved. Signal processing can broadly be considered to be the recovery of information from physical observations. The received signals are usually disturbed by thermal, electrical, atmospheric or intentional interferences, and due to their random nature, statistical techniques play an important role in their analysis. Statistics is also used in the formulation of appropriate models to describe the behavior of systems, the development of appropriate techniques for estimation of model parameters and the assessment of the model performances. Analyzing different real-world data sets to illustrate how different models can be used in practice, and highlighting open problems for future research, the book is a valuable resource for senior undergraduate and graduate students specializing in mathematics or statistics.

Fundamentals of Statistical Signal Processing

Fundamentals of Statistical Signal Processing PDF Author: Steven M. Kay
Publisher: Pearson Education
ISBN: 013280803X
Category : Technology & Engineering
Languages : en
Pages : 496

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Book Description
"For those involved in the design and implementation of signal processing algorithms, this book strikes a balance between highly theoretical expositions and the more practical treatments, covering only those approaches necessary for obtaining an optimal estimator and analyzing its performance. Author Steven M. Kay discusses classical estimation followed by Bayesian estimation, and illustrates the theory with numerous pedagogical and real-world examples."--Cover, volume 1.

Digital and Statistical Signal Processing

Digital and Statistical Signal Processing PDF Author: Anastasia Veloni
Publisher: CRC Press
ISBN: 0429017588
Category : Technology & Engineering
Languages : en
Pages : 558

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Book Description
Nowadays, many aspects of electrical and electronic engineering are essentially applications of DSP. This is due to the focus on processing information in the form of digital signals, using certain DSP hardware designed to execute software. Fundamental topics in digital signal processing are introduced with theory, analytical tables, and applications with simulation tools. The book provides a collection of solved problems on digital signal processing and statistical signal processing. The solutions are based directly on the math-formulas given in extensive tables throughout the book, so the reader can solve practical problems on signal processing quickly and efficiently. FEATURES Explains how applications of DSP can be implemented in certain programming environments designed for real time systems, ex. biomedical signal analysis and medical image processing. Pairs theory with basic concepts and supporting analytical tables. Includes an extensive collection of solved problems throughout the text. Fosters the ability to solve practical problems on signal processing without focusing on extended theory. Covers the modeling process and addresses broader fundamental issues.

Statistical Signal Processing

Statistical Signal Processing PDF Author: T. Chonavel
Publisher: Springer Science & Business Media
ISBN: 1447101391
Category : Technology & Engineering
Languages : en
Pages : 334

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Book Description
The only book on the subject at this level, this is a well written formalised and concise presentation of the basis of statistical signal processing. It teaches a wide variety of techniques, demonstrating how they can be applied to many different situations.

Statistical Signal Processing of Nonstationary Tensor-valued Data

Statistical Signal Processing of Nonstationary Tensor-valued Data PDF Author: Bruno Scalzo Dees
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Algorithms for Statistical Signal Processing

Algorithms for Statistical Signal Processing PDF Author: John G. Proakis
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 584

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Book Description
Keeping pace with the expanding, ever more complex applications of DSP, this authoritative presentation of computational algorithms for statistical signal processing focuses on "advanced topics" ignored by other books on the subject. Algorithms for Convolution and DFT. Linear Prediction and Optimum Linear Filters. Least-Squares Methods for System Modeling and Filter Design. Adaptive Filters. Recursive Least-Squares Algorithms for Array Signal Processing. QRD-Based Fast Adaptive Filter Algorithms. Power Spectrum Estimation. Signal Analysis with Higher-Order Spectra. For Electrical Engineers, Computer Engineers, Computer Scientists, and Applied Mathematicians.

Robust Statistics for Signal Processing

Robust Statistics for Signal Processing PDF Author: Abdelhak M. Zoubir
Publisher: Cambridge University Press
ISBN: 1108680488
Category : Technology & Engineering
Languages : en
Pages : 315

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Book Description
Understand the benefits of robust statistics for signal processing with this authoritative yet accessible text. The first ever book on the subject, it provides a comprehensive overview of the field, moving from fundamental theory through to important new results and recent advances. Topics covered include advanced robust methods for complex-valued data, robust covariance estimation, penalized regression models, dependent data, robust bootstrap, and tensors. Robustness issues are illustrated throughout using real-world examples and key algorithms are included in a MATLAB Robust Signal Processing Toolbox accompanying the book online, allowing the methods discussed to be easily applied and adapted to multiple practical situations. This unique resource provides a powerful tool for researchers and practitioners working in the field of signal processing.