Periodically Correlated Random Sequences
Periodically Correlated Random Sequences

Author: Harry L. Hurd

Publisher: John Wiley & Sons

Published: 2007-11-09

Total Pages: 384

ISBN-13: 9780470182826

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Uniquely combining theory, application, and computing, this book explores the spectral approach to time series analysis The use of periodically correlated (or cyclostationary) processes has become increasingly popular in a range of research areas such as meteorology, climate, communications, economics, and machine diagnostics. Periodically Correlated Random Sequences presents the main ideas of these processes through the use of basic definitions along with motivating, insightful, and illustrative examples. Extensive coverage of key concepts is provided, including second-order theory, Hilbert spaces, Fourier theory, and the spectral theory of harmonizable sequences. The authors also provide a paradigm for nonparametric time series analysis including tests for the presence of PC structures. Features of the book include: An emphasis on the link between the spectral theory of unitary operators and the correlation structure of PC sequences A discussion of the issues relating to nonparametric time series analysis for PC sequences, including estimation of the mean, correlation, and spectrum A balanced blend of historical background with modern application-specific references to periodically correlated processes An accompanying Web site that features additional exercises as well as data sets and programs written in MATLAB® for performing time series analysis on data that may have a PC structure Periodically Correlated Random Sequences is an ideal text on time series analysis for graduate-level statistics and engineering students who have previous experience in second-order stochastic processes (Hilbert space), vector spaces, random processes, and probability. This book also serves as a valuable reference for research statisticians and practitioners in areas of probability and statistics such as time series analysis, stochastic processes, and prediction theory.

Cyclostationarity in Communications and Signal Processing
Cyclostationarity in Communications and Signal Processing

Author: William A. Gardner

Publisher: Institute of Electrical & Electronics Engineers(IEEE)

Published: 1994

Total Pages: 528

ISBN-13:

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From this book, you will learn new concepts, methods, and algorithms for performing signal processing tasks and designing and analyzing communications systems.

Non-Stationary Stochastic Processes Estimation
Non-Stationary Stochastic Processes Estimation

Author: Maksym Luz

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-05-20

Total Pages: 381

ISBN-13: 311132625X

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The problem of forecasting future values of economic and physical processes, the problem of restoring lost information, cleaning signals or other data observations from noise, is magnified in an information-laden word. Methods of stochastic processes estimation depend on two main factors. The first factor is construction of a model of the process being investigated. The second factor is the available information about the structure of the process under consideration. In this book, we propose results of the investigation of the problem of mean square optimal estimation (extrapolation, interpolation, and filtering) of linear functionals depending on unobserved values of stochastic sequences and processes with periodically stationary and long memory multiplicative seasonal increments. Formulas for calculating the mean square errors and the spectral characteristics of the optimal estimates of the functionals are derived in the case of spectral certainty, where spectral structure of the considered sequences and processes are exactly known. In the case where spectral densities of the sequences and processes are not known exactly while some sets of admissible spectral densities are given, we apply the minimax-robust method of estimation.

Cyclostationarity: Theory and Methods
Cyclostationarity: Theory and Methods

Author: Fakher Chaari

Publisher: Springer Science & Business Media

Published: 2014-01-16

Total Pages: 189

ISBN-13: 3319041878

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In the last decade the research in signal analysis was dominated by models that encompass nonstationarity as an important feature. This book presents the results of a workshop held in Grodek—Poland in February 2013 which was dedicated to the investigation of cyclostationary signals. Its main objective is to highlight the strong interactions between theory and applications of cyclostationary signals with the use of modern statistical tools. An important application of cyclostationary signals is the analysis of mechanical signals generated by a vibrating mechanism. Cyclostationary models are very important to perform basic operations on signals in both time and frequency domains. One of the fundamental problems in diagnosis of rotating machine is the identification of significant modulating frequencies that contribute to the cyclostationary nature of the signals. The book shows that there are modern tools available for analyzing cyclostationary signals without the assumption of gaussianity. Those methods are based on the ideas of bootstrap, subsampling and Fraction-of-time (FOT) models. The book is organised in two parts. The first part will be dedicated to pure theory on cyclostationarity. Applications are presented in the second part including several mechanical systems such as bearings, gears, with or without damages.

Sequences and Their Applications - SETA 2010
Sequences and Their Applications - SETA 2010

Author: Claude Carlet

Publisher: Springer Science & Business Media

Published: 2010-09

Total Pages: 474

ISBN-13: 3642158730

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This volumecontainstherefereedproceedingsoftheSixth International Conf- ence on Sequences and Their Applications (SETA 2010), held in Paris, France, September 13-17, 2010. The previous ?ve conferences were held in Singapore (RepublicofSingapore),Bergen(Norway),Seoul(SouthKorea),Beijing(China) and Lexington (USA). Topics of SETA include: – Randomness of sequences – Correlation (periodic and aperiodic types) and combinatorial aspects of - quences (di?erence sets) – Sequences with applications in coding theory and cryptography – Sequences over ?nite ?elds/rings/function ?elds – Linear and nonlinear feedback shift register sequences – Sequences for radar distance ranging, synchronization, identi?cation, and hardware testing – Sequences for wireless communication – Pseudorandom sequence generators – Boolean and vectorial functions for sequences, coding and/or cryptography – Multidimensional sequences and their correlation properties – Linear and nonlinear complexity of sequences The Technical Program Committee of SETA 2010 refereed 56 submitted - pers. Each paper was reviewed by at least 2 referees (at least 3 when an author was a TPC member) and the TPC selected 33 papers to be presented at the conference. In addition, we had 4 invited papers, byRobert Calderbank(Prin- ton University, USA), James Massey (retired from ETH Zurich, Switzerland), Jong-Seon No (Seoul National University, South Korea) and Arne Winterhof ¨ (Osterreichische Akademie der Wissenschaften, Austria). TheCo-chairsoftheTPCwereClaudeCarlet(Universit´ eParis8,France)and Alexander Pott (Otto-von-Guericke-Universit¨ at, Magdeburg, Germany). They wish to thank the other members of the ProgramCommittee: Thierry P.

Signal Design for Good Correlation
Signal Design for Good Correlation

Author: Solomon W. Golomb

Publisher: Cambridge University Press

Published: 2005-07-11

Total Pages: 460

ISBN-13: 9780521821049

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This book provides a comprehensive treatment of methodologies and applications including CDMA telephony, coded radar, and stream cipher generation.

Difference Sets, Sequences and their Correlation Properties
Difference Sets, Sequences and their Correlation Properties

Author: A. Pott

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 451

ISBN-13: 9401144591

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The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized.

Millimeter Wave Wireless Communications
Millimeter Wave Wireless Communications

Author: Theodore S. Rappaport

Publisher: Pearson Education

Published: 2015

Total Pages: 705

ISBN-13: 0132172283

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The Definitive, Comprehensive Guide to Cutting-Edge Millimeter Wave Wireless Design “This is a great book on mmWave systems that covers many aspects of the technology targeted for beginners all the way to the advanced users. The authors are some of the most credible scholars I know of who are well respected by the industry. I highly recommend studying this book in detail.” —Ali Sadri, Ph.D., Sr. Director, Intel Corporation, MCG mmWave Standards and Advanced Technologies Millimeter wave (mmWave) is today's breakthrough frontier for emerging wireless mobile cellular networks, wireless local area networks, personal area networks, and vehicular communications. In the near future, mmWave products, systems, theories, and devices will come together to deliver mobile data rates thousands of times faster than today's existing cellular and WiFi networks. In Millimeter Wave Wireless Communications, four of the field's pioneers draw on their immense experience as researchers, entrepreneurs, inventors, and consultants, empowering engineers at all levels to succeed with mmWave. They deliver exceptionally clear and useful guidance for newcomers, as well as the first complete desk reference for design experts. The authors explain mmWave signal propagation, mmWave circuit design, antenna designs, communication theory, and current standards (including IEEE 802.15.3c, Wireless HD, and ECMA/WiMedia). They cover comprehensive mmWave wireless design issues, for 60 GHz and other mmWave bands, from channel to antenna to receiver, introducing emerging design techniques that will be invaluable for research engineers in both industry and academia. Topics include Fundamentals: communication theory, channel propagation, circuits, antennas, architectures, capabilities, and applications Digital communication: baseband signal/channel models, modulation, equalization, error control coding, multiple input multiple output (MIMO) principles, and hardware architectures Radio wave propagation characteristics: indoor and outdoor applications Antennas/antenna arrays, including on-chip and in-package antennas, fabrication, and packaging Analog circuit design: mmWave transistors, fabrication, and transceiver design approaches Baseband circuit design: multi–gigabit-per-second, high-fidelity DAC and ADC converters Physical layer: algorithmic choices, design considerations, and impairment solutions; and how to overcome clipping, quantization, and nonlinearity Higher-layer design: beam adaptation protocols, relaying, multimedia transmission, and multiband considerations 60 GHz standardization: IEEE 802.15.3c for WPAN, Wireless HD, ECMA-387, IEEE 802.11ad, Wireless Gigabit Alliance (WiGig)