Iickho Song - Böcker

This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. In addition to a range of concepts and notions concerning probability and random variables, the coverage includes a number of key advanced concepts in mathematics. Readers will also find unique results on e.g. the explicit general formula of joint moments and the expected values of nonlinear functions for normal random vectors. In addition, interesting applications of the step and impulse functions in discussions on random vectors are presented. Thanks to a wealth of examples and a total of 330 practice problems of varying difficulty, readers will have the opportunity to significantly expand their knowledge and skills. The book is rounded out by an extensive index, allowing readers to quickly and easily find what they are looking for.Given its scope, the book will appeal to all readers with a basic grasp of probability and random variables who are looking to go one step further. It also offers a valuable reference guide for experienced scholars and professionals, helping them review and refine their expertise.

This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level.

The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership.

The exposition is accompanied by numerous examples and more than 100 exercises, for which a complete solution manual is available. Providing a useful reference, and requiring only a basic understanding of probability and random variables, the book will appeal to a wide readership.

This book contains a number of problems with signal detection theory. A generalized observation model for signal detection problems, is presented. The model includes several interesting and common special cases such as those describing additive noise, multiplicative noise, and signal-dependent noise. This model can also describe composite signals in addition to the usual known (deterministic) signals and random (stochastic) signals. Locally optimum (LO) and locally optimum rank (LOR) detectors for known and random signals in the model, are discussed, and original results are obtained. Other approaches to detection of signals also are discussed.

We have some time ago noticed that finding a book dealing with topics in the ad­ vanced theory and applications of signal detection is not quite an easy matter. This is contrasted with that there are numerous books on the more general subject of de­ tection and estimation.Frankly, ourexperience and expertise is only on some partial portions of the theory and recent topics of signal detection. This book is therefore meant to include not all the advanced and interesting topics in the theory and appli­ cations ofsignal detection, butjust onlysome subsets of them: some such important and interesting topics and issues as distributed signal detection and sequential de­ tection are not considered only due to our limited knowledge and capacity. The goal we have in mind for this book is to present several advanced topics in signal detection theory and thereby help readers gain novel ideas and insights. In this book, we have tried to completely present in a unified way the theme oflocally optimum detection ofsignals in generalized observations. Among our hope is thus that the readers would be able to understand the concepts and fundamentals of a generalized observation model as applied to signal detection problems. This book will also allow the readers, whether they are students, academics, practitioners, or researchers, to have an expanded view on signal detection.