Randomness and Elements of Decision Theory Applied to Signals

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

本書提供了有關隨機變量、隨機過程和決策理論的主要現代重要主題的概述，以解決現實世界的問題。在介紹統計和信號概念後，本書介紹了許多對信號處理至關重要的應用，如降噪、紋理分類、直方圖均衡化、深度學習或特徵提取。

本書使用MATLAB算法演示了將理論應用於實際系統的實現。這使得本書的內容對需要快速且實用的介紹如何處理隨機信號和過程的學生和專業人士非常相關。

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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. She is a Professor of Information Theory and Coding, Cryptography and Genomic Signal Processing with the Department of Communications, Faculty of Electronics, Telecommunications and Information Technology, TUC-N. She is also the Director of the Data Processing and Security Research Center, TUC-N. She has conducted research in coding theory, nonlinear signal and image processing, image watermarking, genomic signal processing and computer vision having authored and coauthored more than 100 research papers in referred national and international journals and conference proceedings. She is the author and coauthor of five books. Her research interests are in the areas of information theory and coding, signal, image, and genomic signal processing.

Romulus TEREBEȘ was born in Livada, Romania. He received the BSc degree in electronics and telecommunications from the Technical University of Cluj-Napoca (TUC-N), Cluj-Napoca, Romania, in 1994 and the Ph.D. degree from the University of Bordeaux 1, Talence, France, and TUC-N (co-advised Ph.D. thesis), in 2004. The subject of his Ph.D. thesis dealt with partial-derivative-equation-based image processing techniques. Dr. Terebes is currently an IEEE Signal Processing society member and professor with the Department of Communications, Faculty of Electronics, Telecommunications and Information Technology, TUC-N. His research interests are in the area of image processing and computer vision. His publication list includes 48 articles and proceeding papers indexed in the Web of Science, the Core Collection, 41 being also IEEE Xplore indexed.

Raul MĂLUȚAN received the B.Sc. degree in Telecommunications from Technical University of Cluj Napoca, Romania in 2004 and the PhD degree in Electronics and Telecommunications from Technical University of Cluj Napoca, Romania and in Informatics from Polytechnic University of Madrid, Spain in 2010. He is currently an Associate Professor with the Communications Department from Technical University of Cluj Napoca, Romania. He has authored more than 40 research articles published in ISI indexed journals, as book chapters and in peer-reviewed conferences. He is the co-author of 2 Romanian Patents. His research interests include high-order statistics, genomic processing, image processing, bioinformatics.

Ioana ILEA received in 2017 the PhD degree in Electronics and Telecommunications from the Technical University of Cluj-Napoca, Romania and in Automation, Computer-Integrated Manufacturing, Signal and Image, Cognitive Engineering from the University of Bordeaux, France. She is currently Assistant Professor with the Communications Department of the Technical University of Cluj-Napoca, Romania. Her research interests include signal and image processing, statistical modeling, and machine learning.

Mihaela CÎȘLARIU received the B.Sc. degree in Electronics from Technical University of Cluj-Napoca, Romania in 2008 and the PhD degree in Electronics and Telecommunications from Technical University of Cluj-Napoca, Romania in 2011. She is currently an Assistant Professor with the Communications Department from Technical University of Cluj-Napoca, Romania. Her current research interests include computational intelligence, artificial intelligence, image restoration, motion analysis, image classification, machine learning and computer vision.

Ștefania BĂRBURICEANU was born in Sinaia, Romania in 1993. She received a BSc in electronics and telecommunications in 2016 from the Technical University of Cluj-Napoca, Romania and a MSc in image and signal processing in 2018 from the University of Bordeaux, France, and the Technical University of Cluj-Napoca (double diploma). She is currently a PhD student; her thesis being focused on texture feature extraction and classification. From 2018 to 2020, she was a Research Assistant with the Communications Department of the Technical University of Cluj-Napoca. Since 2020, she has been an Assistant Professor at the same university. Her work experience also includes being a member in several research projects involving image classification problems. Her research interests are in image classification, machine-learning and artificial intelligence domains. She is an EURASIP member.

Andreia Valentina MICLEA was born on 1992 in Turda, Romania. She received the B.Sc. degree in Telecommunications from Technical University of Cluj Napoca, Romania in 2015 and the MSc in Image and Signal Processing in 2017 from the University of Bordeaux and Technical University of Cluj Napoca (double diploma). She is currently an Assistant Professor with the Communications Department from Technical University of Cluj Napoca, Romania. Hers research interests are in image classification, machine-learning and artificial intelligence domains.

Monica BORDA於1987年從羅馬尼亞布加勒斯特理工大學獲得博士學位。她曾在羅馬尼亞克盧日-納波卡理工大學擔任教職，自2000年起擔任博士候選人的指導教授。她是克盧日-納波卡理工大學電子通信與信息技術學院通信系的信息理論和編碼、密碼學以及基因信號處理的教授。她還是克盧日-納波卡理工大學數據處理和安全研究中心的主任。她在編碼理論、非線性信號和圖像處理、圖像水印、基因信號處理和計算機視覺等領域進行研究，並在國內外期刊和會議論文中發表了100多篇研究論文。她是五本書的作者和合著者。她的研究興趣包括信息理論和編碼、信號、圖像和基因信號處理。

Romulus TEREBEȘ出生於羅馬尼亞的利瓦達。他於1994年從克盧日-納波卡理工大學獲得電子與通信學士學位，並於2004年從波爾多第一大學（法國）和克盧日-納波卡理工大學（共同指導博士論文）獲得博士學位。他的博士論文主題涉及基於偏微分方程的圖像處理技術。Terebes博士目前是IEEE信號處理學會的成員，並在克盧日-納波卡理工大學電子通信與信息技術學院通信系擔任教授。他的研究興趣在於圖像處理和計算機視覺。他的發表文章包括48篇被Web of Science和Core Collection索引的文章和會議論文，其中41篇還被IEEE Xplore索引。

Raul MĂLUȚAN於2004年從克盧日-納波卡理工大學獲得電信學士學位，並於2010年分別從克盧日-納波卡理工大學和馬德里理工大學獲得電子與通信學博士學位和計算機學博士學位。他目前是克盧日-納波卡理工大學通信系的副教授。他在ISI索引期刊、專書章節和同行評審的會議上發表了40多篇研究文章。他是2項羅馬尼亞專利的合著者。他的研究興趣包括高階統計、基因處理、圖像處理、生物信息學。

Ioana ILEA於2017年從克盧日-納波卡理工大學獲得電子與通信學博士學位，並從波爾多大學（法國）獲得自動化、計算機集成製造、信號和圖像、認知工程學博士學位。她目前是克盧日-納波卡理工大學通信系的助理教授。她的研究興趣包括信號和圖像處理、統計建模和機器學習。

Mihaela CÎȘLARIU於2008年從克盧日-納波卡理工大學獲得電子學士學位，並於2011年從克盧日-納波卡理工大學獲得電子與通信學博士學位。她目前是克盧日-納波卡理工大學通信系的助理教授。她目前的研究興趣包括計算智能、人工智能、圖像恢復、運動分析、圖像分類、機器學習和計算機視覺。

Ștefania BĂRBURICEANU於1993年出生於羅馬尼亞的西奈亞。她於2016年從克盧日-納波卡理工大學獲得電子與通信學士學位，並於2018年從波爾多大學（法國）和克盧日-納波卡理工大學獲得圖像和信號處理碩士學位。她的研究興趣包括信號和圖像處理、統計建模和機器學習。