A First Course in Statistics for Signal Analysis: 0 - Softcover

Woyczynski, Wojbor A.

Softcover

ISBN 10: 0817643982 ISBN 13: 9780817643980

Verlag: Birkhäuser Boston, 2010

Inhaltsangabe

This book was designed as a text for a ?rst, one-semester course in s- tisticalsignalanalysisforstudentsinengineeringandphysicalsciences. It had been developed over the last few years as lecture notes used by theauthorinclassesmainlypopulatedbyelectrical, systems, computer and biomedical engineering juniors/seniors and graduate students in sciences and engineering who have not been previously exposed to this material. It was also used for industrial audiences as educational and training material and for an introductory time series analysis class. Theonlyprerequisiteforthiscourseisabasictwo-tothree-semester calculus sequence; no probability or statistics background is assumed except the usual high school elementary introduction. The emphasis is on a crisp and concise but fairly rigorous presentation of fundamental concepts in the statistical theory of stationary random signals and re- tionships between them. The author’s goal was to write a compact but readable book of approximately 200 pages countering the recent trend towards fatter and fatter textbooks. Since Fourier series and transforms are of fundamental importance in random signal analysis and processing, this material is developed from scratch in Chapter 2 emphasizing the time domain vs. frequency domain duality. Our experience showed that although harmonic an- ysis is normally included in the calculus syllabi, students’ practical - derstanding of its concepts is often hazy. Chapter 3 introduces basic conceptsofprobabilitytheory,lawoflargenumbersandthestabilityof ?uctuations law, and statistical parametric inference procedures based on the latter.

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This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation.

Topics and Features:

*Fourier series and transforms―fundamentally important in random signal analysis and processing―are developed from scratch, emphasizing the time-domain vs. frequency-domain duality.

*Basic concepts of probability theory, laws of large numbers, the stability of fluctuations law (central limit theorem), and statistical parametric inference procedures are presented so that no prior knowledge of probability and statistics is required; the only prerequisite is a basic two–three semester calculus sequence.

*Introduction of the fundamental concept of a stationary random signal and its autocorrelation structure.

*Power spectra of stationary signals and transmission analysis.

*Filter design with optimal signal-to-noise ratio.

*Computer simulation algorithms of stationary random signals with a given power spectrum density.

*Complementary bibliography for readers who wish to pursue the study of random signals in greater depth.

*Many diverse examples as well as end-of-chapter problems and exercises.

Developed by the author over the course of several years of classroom use, A First Course in Statistics for Signal Analysis may be used by junior/senior undergraduates or graduate students in electrical, systems, computer, and biomedical engineering, as well as the physical sciences. The work is also an excellent resource of educational and training material for scientists and engineers working in research laboratories.

Details zur Ausgabe

• Verlag: Birkhäuser Boston
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 0817643982
• ISBN 13: 9780817643980
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 224
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar