Discrete Random Processes

Muammer Catak, PhD College of Engineering and Technology, American University of the Middle East, Kuwait, Muammer Catak is a faculty member of Electrical Engineering Department at College of Engineering and Technology, American University of the Middle East, Kuwait. He received his BSc in Electrical and Electronics Engineering from the Middle East Technical University, Turkey in 2004, the MSc in Telecommunication and Signal Processing, Blekinge Technical Institute, Sweden in 2006, the Ph.D. in Stochastic Modelling and Simulation from Process Engineering, University College Cork, Ireland in 2010.  He got his Associate Professorship degree in the subject of Signal Processing / Electrical and Electronics Engineering, in 2017. His main research interests include stochastic signal processing, random processes, and Markov chains.Tofigh Allahviranloo, PhD Tofigh Allahviranloo is a Professor of Applied Mathematics at Istinye University in Istanbul, Türkiye. An accomplished mathematician and computer scientist, Prof. Allahviranloo is sincerely dedicated to multi- and interdisciplinary research efforts. His expertise lies primarily in fundamental research in applied fuzzy mathematics, with a special focus on dynamical systems and pioneering applications in applied biological and computer sciences.As of 2024, Prof. Allahviranloo has made significant scientific contributions, including authoring over 15 international books in English and 10 books in Farsi, as well as about 500 publications with renowned publishers such as Elsevier, Springer, Wiley, and Taylor & Francis. He has published more than 250 peer-reviewed journal papers over the past 15 years.He is the editor-in-charge of the book series 'Uncertainty, Computational Techniques and Decision Intelligence' published by ELSEVIER. In addition to his extensive writing activities, Prof. Allahviranloo plays an important role in the academic community as Associate Editor and Editorial Board Member of several prestigious journals. These include 'Information Sciences (ELSEVIER)', 'Fuzzy Sets and Systems (ELSEVIER)', 'Iranian Journal of Fuzzy Systems', 'Mathematical Sciences (Springer)', 'Journal of Mathematics and Computer Science (ISRP)' and 'Journal of Computational Methods for Differential Equations (University of Tabriz)'. He is currently Editor-in-Chief of ‘Information Sciences (ELSEVIER)’, Editor-in-Chief of the ‘Transactions on Fuzzy Sets and Systems', Editor-in-Chief of the 'International Journal of Industrial Mathematics', and Managing Editor of 'The Journal of Mathematics and Computer Science'. In addition, Prof. Allahviranloo is a member of the program committee for the FUZZ-IEEE, NAFIPS Annual Meeting, and IFSA conferences, where he brings his extensive knowledge and experience to these key events in the field of fuzzy systems and applied mathematics.

• Introduction to Signals and Systems.- Linear Transformations: Z-Transform.- Linear Transformations: Discrete Time Fourier Transform (DTFT).- Linear Transformations: Discrete Fourier Transform (DFT) and Its Implementation: FastFourier Transform (FFT).- Random Variables.- Random Processes.- Discrete-Time Gaussian Random Processes.- Markov Processes.- Poisson Processes.- Ornstein-Uhlenbeck Process.