Analysis And Synthesis Of Linear Systems With Time Varying Delay

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Analysis and Synthesis of Dynamical Systems with Time-Delays

Author : Yuanqing Xia
Publisher : Springer
ISBN 13 : 3642026966
Total Pages : 288 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Analysis and Synthesis of Dynamical Systems with Time-Delays by : Yuanqing Xia

Download or read book Analysis and Synthesis of Dynamical Systems with Time-Delays written by Yuanqing Xia and published by Springer. This book was released on 2009-10-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach

Author : Dan Zhang
Publisher : Springer
ISBN 13 : 9811311293
Total Pages : 202 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach by : Dan Zhang

Download or read book Analysis and Synthesis of Switched Time-Delay Systems: The Average Dwell Time Approach written by Dan Zhang and published by Springer. This book was released on 2018-09-01 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts in the field, is based on the latest research on the analysis and synthesis of switched time-delay systems. It covers the stability, filtering, fault detection and control problems, which are studied using the average dwell time approach. It presents both the continuous-time and discrete-time systems and provides useful insights and methods, as well as practical algorithms that can be considered in other complex systems, such as neuron networks and genetic regulatory networks, making it a valuable resource for researchers, scientists and engineers in the field of system sciences and control communities.

Analysis of Periodically Time-Varying Systems

Author : John A. Richards
Publisher : Springer Science & Business Media
ISBN 13 : 3642818730
Total Pages : 186 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Analysis of Periodically Time-Varying Systems by : John A. Richards

Download or read book Analysis of Periodically Time-Varying Systems written by John A. Richards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the practical techniques developed for treating systems described by periodic differential equations have arisen in different fields of application; con sequently some procedures have not always been known to workers in areas that might benefit substantially from them. Furthermore, recent analytical methods are computationally based so that it now seems an opportune time for an applications-oriented book to be made available that, in a sense, bridges the fields in which equations with periodic coefficients arise and which draws together analytical methods that are implemented readily. This book seeks to ftll that role, from a user's and not a theoretician's view. The complexities of periodic systems often demand a computational approach. Matrix treatments therefore are emphasized here although algebraic methods have been included where they are useful in their own right or where they establish properties that can be exploited by the matrix approach. The matrix development given calls upon the nomenclature and treatment of H. D'Angelo, Linear Time Varying Systems: Analysis and Synthesis (Boston: Allyn and Bacon 1970) which deals with time-varying systems in general. It is recommended for its modernity and comprehensive approach to systems analysis by matrix methods. Since the present work is applications-oriented no attempt has been made to be complete theoretically by way of presenting all proofs, existence theorems and so on. These can be found in D'Angelo and classic and well-developed treatises such as McLachlan, N. W. : Theory and application of Mathieu functions.

Linear Parameter-Varying and Time-Delay Systems

Author : Corentin Briat
Publisher : Springer
ISBN 13 : 3662440504
Total Pages : 412 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Linear Parameter-Varying and Time-Delay Systems by : Corentin Briat

Download or read book Linear Parameter-Varying and Time-Delay Systems written by Corentin Briat and published by Springer. This book was released on 2014-09-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Analysis and Synthesis of Dynamic Systems with Positive Characteristics

Author : Jun Shen
Publisher : Springer
ISBN 13 : 9811038805
Total Pages : 136 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis and Synthesis of Dynamic Systems with Positive Characteristics by : Jun Shen

Download or read book Analysis and Synthesis of Dynamic Systems with Positive Characteristics written by Jun Shen and published by Springer. This book was released on 2017-03-27 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

Author : Lixian Zhang
Publisher : Springer
ISBN 13 : 3319288504
Total Pages : 268 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering by : Lixian Zhang

Download or read book Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering written by Lixian Zhang and published by Springer. This book was released on 2016-01-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Saturated Switching Systems

Author : Abdellah Benzaouia
Publisher : Springer Science & Business Media
ISBN 13 : 1447128990
Total Pages : 300 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Saturated Switching Systems by : Abdellah Benzaouia

Download or read book Saturated Switching Systems written by Abdellah Benzaouia and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Introduction to Time-Delay Systems

Author : Emilia Fridman
Publisher : Springer
ISBN 13 : 3319093932
Total Pages : 381 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Time-Delay Systems by : Emilia Fridman

Download or read book Introduction to Time-Delay Systems written by Emilia Fridman and published by Springer. This book was released on 2014-09-02 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Positive Systems

Author : Rafael Bru
Publisher : Springer
ISBN 13 : 3642028942
Total Pages : 385 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Positive Systems by : Rafael Bru

Download or read book Positive Systems written by Rafael Bru and published by Springer. This book was released on 2009-09-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the "Third Multidisciplinary Symposium on Positive Systems: Theory and Applications (POSTA09)" held in Valencia, Spain, September 2–4, 2009. This is the only world congress whose main topic is focused on this field.

Stability and Control of Time-delay Systems

Author : Luc Dugard
Publisher : Springer
ISBN 13 : 9783540761938
Total Pages : 0 pages
Book Rating : 4.7/5 (619 download)

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Book Synopsis Stability and Control of Time-delay Systems by : Luc Dugard

Download or read book Stability and Control of Time-delay Systems written by Luc Dugard and published by Springer. This book was released on 1997-10-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

Author : Lixian Zhang
Publisher : Springer
ISBN 13 : 3319288474
Total Pages : 268 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Analysis and Design of Markov Jump Systems with Complex Transition Probabilities by : Lixian Zhang

Download or read book Analysis and Design of Markov Jump Systems with Complex Transition Probabilities written by Lixian Zhang and published by Springer. This book was released on 2016-01-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three parts. Part I studies the Markov jump systems with partially unknown TPs. Different methodologies with different conservatism for the basic stability and stabilization problems are developed and compared. Then the problems of state estimation, the control of systems with time-varying delays, the case involved with both partially unknown TPs and uncertain TPs in a composite way are also tackled. Part II deals with the Markov jump systems with piecewise homogeneous TPs. Methodologies that can effectively handle control problems in the scenario are developed, including the one coping with the asynchronous switching phenomenon between the currently activated system mode and the controller/filter to be designed. Part III focuses on the Markov jump systems with memory TPs. The concept of σ-mean square stability is proposed such that the stability problem can be solved via a finite number of conditions. The systems involved with nonlinear dynamics (described via the Takagi-Sugeno fuzzy model) are also investigated. Numerical and practical examples are given to verify the effectiveness of the obtained theoretical results. Finally, some perspectives and future works are presented to conclude the book.

Synchronization Control of Markovian Complex Neural Networks with Time-varying Delays

Author : Junyi Wang
Publisher : Springer Nature
ISBN 13 : 3031478355
Total Pages : 162 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Synchronization Control of Markovian Complex Neural Networks with Time-varying Delays by : Junyi Wang

Download or read book Synchronization Control of Markovian Complex Neural Networks with Time-varying Delays written by Junyi Wang and published by Springer Nature. This book was released on 2023-11-28 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the synchronization control of Markovian complex neural networks with time-varying delays, and the structure of the book is summarized as follows. Chapter 1 introduces the system description and some background knowledges, and also addresses the motivations of this monograph. In Chapter 2, the stochastic synchronization issue of Markovian coupled neural networks with partially unknown transition rates and random coupling strengths is investigated. In Chapter 3, the local synchronization issue of Markovian neutral complex networks with partially information of transition rates is investigated. The new delay-dependent synchronization criteria in terms of LMIs are derived, which depends on the upper and lower bounds of the delays. In Chapter 4, the local synchronization issue of Markovian nonlinear coupled neural networks with uncertain and partially unknown transition rates is investigated. The less conservative local synchronization criteria containing the bounds of delay and delay derivative are obtained based on the novel augmented Lyapunov-Krasovskii functional and a new integral inequality. In Chapter 5, the sampled-data synchronization issue of delayed complex networks with aperiodic sampling interval is investigated based on enhanced input delay approach, which makes full use of the upper bound of the variable sampling interval and the sawtooth structure information of varying input delay. In Chapter 6, the sampled-data synchronization issue of Markovian coupled neural networks with mode-dependent interval time-varying delays and aperiodic sampling intervals is investigated based on an enhanced input delay approach. Furthermore, the mode-dependent sampled-data controllers are proposed based on the delay dependent synchronization criteria. In Chapter 7, the synchronization issue of inertial neural networks with time-varying delays and generally Markovian jumping is investigated. In Chapter 8, we conclude the monograph by briefly summarizing the main theoretical findings.

Control of Linear Parameter Varying Systems with Applications

Author : Javad Mohammadpour
Publisher : Springer Science & Business Media
ISBN 13 : 146141833X
Total Pages : 554 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Control of Linear Parameter Varying Systems with Applications by : Javad Mohammadpour

Download or read book Control of Linear Parameter Varying Systems with Applications written by Javad Mohammadpour and published by Springer Science & Business Media. This book was released on 2012-03-08 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of Linear Parameter Varying Systems compiles state-of-the-art contributions on novel analytical and computational methods for addressing system identification, model reduction, performance analysis and feedback control design and addresses address theoretical developments, novel computational approaches and illustrative applications to various fields. Part I discusses modeling and system identification of linear parameter varying systems, Part II covers the importance of analysis and control design when working with linear parameter varying systems (LPVS) , Finally, Part III presents an applications based approach to linear parameter varying systems, including modeling of a turbocharged diesel engines, Multivariable control of wind turbines, modeling and control of aircraft engines, control of an autonomous underwater vehicles and analysis and synthesis of re-entry vehicles.

Nonlinear Control Under Nonconstant Delays

Author : Nikolaos Bekiaris-Liberis
Publisher : SIAM
ISBN 13 : 1611973171
Total Pages : 293 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonlinear Control Under Nonconstant Delays by : Nikolaos Bekiaris-Liberis

Download or read book Nonlinear Control Under Nonconstant Delays written by Nikolaos Bekiaris-Liberis and published by SIAM. This book was released on 2013-09-25 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.

Positive Systems

Author : James Lam
Publisher : Springer
ISBN 13 : 3030043274
Total Pages : 331 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Positive Systems by : James Lam

Download or read book Positive Systems written by James Lam and published by Springer. This book was released on 2019-01-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.

Event-Triggered Control of Switched Linear Systems

Author : Jun Fu
Publisher : Springer Nature
ISBN 13 : 303071604X
Total Pages : 162 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Event-Triggered Control of Switched Linear Systems by : Jun Fu

Download or read book Event-Triggered Control of Switched Linear Systems written by Jun Fu and published by Springer Nature. This book was released on 2021-04-12 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book approaches its subject matter in a way that provides Lyapunov function analysis and event-triggered design methods for switched dynamic systems in terms of sampled-data control, hysteresis switching control, and fault-tolerant control. This book presents several novel design methods on event-triggered control of switched linear systems, in which the events inclusively consist of not only switching itself but events occurring as the switched systems evolve. The features of our approaches lie in threefold: i) In the framework of sampled-data control, a bond between the sampling period and the average dwell time of the asynchronous switched linear neutral systems is revealed, with which stabilization conditions are derived for periodic sampling and event-triggered sampling mechanisms, respectively. ii) New event-triggered control strategies are proposed for switched linear systems and switched delay systems including switched neutral systems. The Zeno phenomenon can be excluded easily since the constant threshold can guarantee the existence of minimum positive lower bound between two continuous sampling intervals. iii). Two new fault-tolerant control methods are presented for switched cascade systems, with structural uncertainties existing in both system matrices and input matrices of the linear subsystems, by using the average dwell-time techniques. The proposed control design works on both the switched systems with actuator faults and its nominal systems (i.e., without actuator faults) without necessarily changing any structures and/or parameters of the proposed controllers. This book presents several systematical analysis and design methods for event-triggered control of switched systems in terms of the Lyapunov-based stability. It is of great significance to theoretical research and practical applications for switched systems. The book provides a unified framework of sampled-data control, including periodic sampled-data control and event-triggered control, and fault-tolerant control of switched systems. It serves as a useful book for researchers and graduate students who are interested in knowing the state of the art of analysis and synthesis of switched systems. In addition, it is also a useful source of up-to-date design methods for researchers who study switched dynamic systems and graduate students of control theory and control engineering.

Digital Signal Processing Fundamentals

Author : Vijay Madisetti
Publisher : CRC Press
ISBN 13 : 1420046071
Total Pages : 904 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Digital Signal Processing Fundamentals by : Vijay Madisetti

Download or read book Digital Signal Processing Fundamentals written by Vijay Madisetti and published by CRC Press. This book was released on 2017-12-19 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in a three-volume set, this updated and expanded edition of the bestselling The Digital Signal Processing Handbook continues to provide the engineering community with authoritative coverage of the fundamental and specialized aspects of information-bearing signals in digital form. Encompassing essential background material, technical details, standards, and software, the second edition reflects cutting-edge information on signal processing algorithms and protocols related to speech, audio, multimedia, and video processing technology associated with standards ranging from WiMax to MP3 audio, low-power/high-performance DSPs, color image processing, and chips on video. Drawing on the experience of leading engineers, researchers, and scholars, the three-volume set contains 29 new chapters that address multimedia and Internet technologies, tomography, radar systems, architecture, standards, and future applications in speech, acoustics, video, radar, and telecommunications. Emphasizing theoretical concepts, Digital Signal Processing Fundamentals provides comprehensive coverage of the basic foundations of DSP and includes the following parts: Signals and Systems; Signal Representation and Quantization; Fourier Transforms; Digital Filtering; Statistical Signal Processing; Adaptive Filtering; Inverse Problems and Signal Reconstruction; and Time–Frequency and Multirate Signal Processing.