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Signal processing lies at the heart of many disciplines, including electronics, telecommunications, automatic control and data processing. This book provides a clear and comprehensive introduction to the fundamental concepts of signal processing, as well as an overview of advanced techniques that meet the needs of modern applications.It is structured along three main axes:- Signal theory: A review of the essential basics, including Fourier transforms, sampling theory and linear systems, to lay a solid foundation.- Random processes: An exploration of noisy signals via statistical modeling and frequency analysis, with applications in communications and sensing.- Analog filters: An introduction to filter design and analysis methods for accurately manipulating the frequency components of signals.Thanks to a pedagogical approach rich in examples, this book is aimed at both students and professionals wishing to deepen their mastery of signal processing.