Random Signals And Systems

A presentation of random signals and systems focusing on applications often encountered in practice. It makes use of geometrical methods, contains a systematic presentation of covariance matrices, and includes a discussion of Gaussian complex random vectors.

"Provides rigorous treatment of deterministic and random signals"--

Random signals and noise are present in many engineering systems and networks. Signal processing techniques allow engineers to distinguish between useful signals in audio, video or communication equipment, and interference, which disturbs the desired signal. With a strong mathematical grounding, this text provides a clear introduction to the fundamentals of stochastic processes and their practical applications to random signals and noise. With worked examples, problems, and detailed appendices, Introduction to Random Signals and Noise gives the reader the knowledge to design optimum systems for effectively coping with unwanted signals. Key features: Considers a wide range of signals and noise, including analogue, discrete-time and bandpass signals in both time and frequency domains. Analyses the basics of digital signal detection using matched filtering, signal space representation and correlation receiver. Examines optimal filtering methods and their consequences. Presents a detailed discussion of the topic of Poisson processes and shot noise. An excellent resource for professional engineers developing communication systems, semiconductor devices, and audio and video equipment, this book is also ideal for senior undergraduate and graduate students in Electronic and Electrical Engineering.

Presented here is the basic knowledge students need to learn to design analog communications systems and linear control systems operating in an aleatory environment. It enables students to understand standard digital signal processing techniques, and is intended to prepare students for the increasingly high level of mathematical sophistication they will need to comprehend research papers in the IEEE Transcriptions and many other journals, and familiarize them with the development of microprocessing. In addition there are discussions which include Hilbert space, the Karhunen-Loeve expansion, the Gaussian distribution in one and two dimensions and finite length random sequences (accompanied by a computer program that generates them). The book is written in an informal writing style that will hold students' attention while giving maximum flexibility to instructors.

Presented here is the basic knowledge students require to design analog communications systems and linear control systems operating in an aleatory environment. It enables students to understand standard digital signal processing techniques, and is intended to prepare students for the increasingly high level of mathematical sophistication they will need to comprehend research papers in the IEEE Transcriptions and many other journals.

This book covers random signals and random processes along with estimation of probability density function, estimation of energy spectral density and power spectral density. The properties of random processes and signal modelling are discussed with basic communication theory estimation and detection. MATLAB simulations are included for each concept with output of the program with case studies and project ideas. The chapters progressively introduce and explain the concepts of random signals and cover multiple applications for signal processing. The book is designed to cater to a wide audience starting from the undergraduates (electronics, electrical, instrumentation, computer, and telecommunication engineering) to the researchers working in the pertinent fields. Key Features: • Aimed at random signal processing with parametric signal processing-using appropriate segment size. • Covers speech, image, medical images, EEG and ECG signal processing. • Reviews optimal detection and estimation. • Discusses parametric modeling and signal processing in transform domain. • Includes MATLAB codes and relevant exercises, case studies and solved examples including multiple choice questions

Random Signal Analysis in Engineering Systems

This excellent advanced text rigorously covers several topics. Geared toward students of electrical engineering, its material is sufficiently general to be applicable to other engineering fields. 1994 edition.