Randomness and Elements of Decision Theory Applied to Signals [Paperback]

This book offers an overview on the main modern important topics in random variables, random processes, and decision theory for solving real-world problems. After an introduction to concepts of statistics and signals, the book introduces many essential applications to signal processing like denoising, texture classification, histogram equalization, deep learning, or feature extraction.

The book uses MATLAB algorithms to demonstrate the implementation of the theory to real systems. This makes the contents of the book relevant to students and professionals who need a quick introduction but practical introduction how to deal with random signals and processes

Introduction in Matlab.- Random variables.- Probability distributions.- Joint random variables.- Random processes.- Binary pseudo-noise sequence generator.- Markov processes.- Noise in telecommunication systems.- Decision systems in noisy transmission channels.- Audio signals denoising using Independent Component Analysis.- Texture classification based on statistical models.- Histogram equalization.- PCM and DPCM.- NN and kNN supervised classification algorithms.- Supervised deep learning classification algorithms.- Texture feature extraction and classification using the Local Binary Patterns operator.The book follows a tutorial style, with a good listing of various formulae and equations, without developing the theory or including proofs but instead presenting numerous solved problems and MATLAB code. (Paparao Kavalipati, Computing Reviews, September 21, 2023)



Monica BORDA received the Ph.D. degree from Politehnica University of Bucharest, Romania, in 1987. She has held faculty positions at the Technical University of Cluj-Napoca (TUC-N), Romania, where she is an Advisor for Ph.D. candidates since 2000. Sl´