A. V. Balakrishnan – författare

Breaking with traditional treatment of random processes in engineering . . . On the surface, Introduction to Random Processes in Engineering is simply a first-rate textbook for senior or first-year graduate engineering courses in stochastic processes. A closer look, however, reveals an innovative book--rich with examples and commonsense explanations--that demystifies theories, eliminates ambiguities; and provides a solid up-to-date introduction to this important subject. Departing from the classical texts of the sixties and seventies in its coverage of random signals and data processing, Introduction to Random Processes in Engineering addresses the latest advances in communication, control engineering, and signal processing by allowing all processes to be multidimensional with an emphasis on discrete-time processes and systems. Unlike current texts, this volume provides a strong mathematical perspective for its engineering topics without getting bogged down in technicalities. It employs mathematics to achieve clarity and precision, and at times even uses the theorem/proof style to emphasize mathematical fine points. This approach is particularly advantageous when dealing with random data, and when building an understanding of the many computer programs routinely used, their theoretical principles, and the results they generate. Assuming background in probability theory at a senior level and some acquaintance with linear systems and signals, the book provides:* A review chapter of the formulas used later in the book* Illustrative examples* Emphasis in simulation techniques* Problems accompanying each chapter that often introduce the student to other relevant material* Notes and comments following each chapter that encourage additional reading as well as historical explorations in the field* Tips for using the material at various levels of instruction With its logical and systematically ordered presentation of the material, as well as its fresh approach, Introduction to Random Processes in Engineering is both a superior textbook and a valuable reference for practicing engineers and researchers in the field.

Computing Methods in Optimization Problems deals with hybrid computing methods and optimization techniques using computers. One paper discusses different numerical approaches to optimizing trajectories, including the gradient method, the second variation method, and a generalized Newton-Raphson method. The paper cites the advantages and disadvantages of each method, and compares the second variation method (a direct method) with the generalized Newton-Raphson method (an indirect method). An example problem illustrates the application of the three methods in minimizing the transfer time of a low-thrust ion rocket between the orbits of Earth and Mars. Another paper discusses an iterative process for steepest-ascent optimization of orbit transfer trajectories to minimize storage requirements such as in reduced memory space utilized in guidance computers. By eliminating state variable storage and control schedule storage, the investigator can achieve reduced memory requirements. Other papers discuss dynamic programming, invariant imbedding, quasilinearization, Hilbert space, and the computational aspects of a time-optimal control problem. The collection is suitable for computer programmers, engineers, designers of industrial processes, and researchers involved in aviation or control systems technology.

Advances in Communication Systems: Theory and Applications, Volume 2 focuses on laser transmission, stochastic approximation, optical techniques, adaptive compression, and synchronous satellite and manned space-flight communication systems. The selection first offers information on a study of multiple scattering of optical radiation with applications to laser communication and a recursive method for solving regression problems. Discussions focus on the mathematical model of the optical communication system; numerical characterization of transmission channel; computational aspects of the equation of radiative transfer; and applications to communications problems. The text then examines the optical techniques in communication systems, as well as optics fundamentals and applications to communications. The manuscript takes a look at synchronous satellite communication systems and the theory of adaptive data compression. Topics include system compression ratio, open-loop mean square error, synchronous satellites, anticipated developments in synchronous satellite technology, and closed-loop mean square error. The text also elaborates on manned spaceflight communications systems and the orbiting geophysical observatory communication system. The text is a valuable reference for researchers interested in laser transmission, synchronous satellite and manned space-flight communication systems, and adaptive compression.

Advances in Communication Systems: Theory and Applications, Volume 3 focuses on feedback systems, data compression, satellite communications, decoding techniques, and synchronization. The selection first elaborates on sequential signal design for channels with feedback and adaptive data compression for video signals. Discussions focus on theory and application of an adaptive compression system, feedback systems with an average power constraint, and a time-continuous binary system with peak and average power constraints. The text then ponders on the aspects of communications satellite systems, including communications satellites and modulation methods. The manuscript takes a look at advances in threshold, signal design problem of coding and synchronization, and progress in sequential decoding. Topics include Wozencraft sequential decoding algorithm, phased-locked loop approach, rapid acquisition sequences, and optimality of the square-wave correlation function for the first-order loop. The selection is a vital source of data for researchers interested in feedback systems, satellite communications, synchronization, and decoding techniques.

Advances in Communication Systems: Theory and Applications, Volume 1 focuses on the innovations in the methodologies, technologies, processes, and applications in communication systems. The selection first offers information on signal selection theory for space communication channels, theories of pattern recognition, and digilock orthogonal modulation system. Discussions focus on digilock mechanization of an orthogonal modulation system, restrictions placed on practical system waveforms, minimum of distance recognition, synthesis of threshold function, and regular simplex coding. The text then ponders on telemetry and command techniques for planetary spacecraft and communication from weather satellite, including planetary missions, telemetry and command system philosophy, Tiros operation and performance, and the Nimbus spacecraft system. The book examines the information theory of quantum-mechanical channels, as well as the capacity of an ideal quantum-mechanical channel, amplifiers in spatial representation, quantum theory of parametric amplifiers, photon correlation, and moment formula for phase-locking amplifiers. The selection is a dependable reference for researchers in communications interested in the advancements in communication systems.

This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. The subject of this volume is at the heart of the most used part of modern Control Theory - indeed. the bread-and-butter part. It includes the Linear (Bucy-Kalman) Filter Theory. the Feedback Control (regulation and trz.cking) Theory for plants with random disturbances. and Stochastic DifEerential Games. Linear Filter Theory is developed by a 3-Martingale approach and is perhaps the sleekest one to date. We hasten to add that although the terITlS are Engineering-oriented. and a background in Control Engineering is essential to understand the motiva­ tion. the work is totally mathematical. and in fact our aim is a rigorous mathematical presentation that is at once systematic. We begin with some preliminary necessary notions relating to Stochastic Processes. We follow Parthasarathy's work in inducing Wiener measure on the Banach Space of Continuous functions. We introduce the linear Stochastic integrals right away. We are then ready to treat linear Stochastic Differential Equations. We then look at the measures induced.

This book is an outgrowth of a graduate course by the same title given at UCLA (System Science Department). presenting a Functional Analysis approach to Stochastic Filtering and Control Problems. As the writing progressed. several new points of view were developed and as a result the present work is more in the nature of a monograph on the subject than a distilled compendium of extant works. The subject of this volume is at the heart of the most used part of modern Control Theory - indeed. the bread-and-butter part. It includes the Linear (Bucy-Kalman) Filter Theory. the Feedback Control (regulation and trz.cking) Theory for plants with random disturbances. and Stochastic DifEerential Games. Linear Filter Theory is developed by a 3-Martingale approach and is perhaps the sleekest one to date. We hasten to add that although the terITlS are Engineering-oriented. and a background in Control Engineering is essential to understand the motiva­ tion. the work is totally mathematical. and in fact our aim is a rigorous mathematical presentation that is at once systematic. We begin with some preliminary necessary notions relating to Stochastic Processes. We follow Parthasarathy''s work in inducing Wiener measure on the Banach Space of Continuous functions. We introduce the linear Stochastic integrals right away. We are then ready to treat linear Stochastic Differential Equations. We then look at the measures induced.