This book is an extensively elaborated treatise on physical layer concepts of advanced mobile communications. Setting out from the author's own experience of university teaching for over three decades, the book covers the most fundamental aspects of physical layer transceivers for mobile communications ranging from approximation schemes such as sampling, the Fourier series and the Fourier transformation over multi-antenna techniques including aspects of curvilinear coordinate systems, tensor calculus, determinant computation rules, array antennas, spatial sampling, details on probability theory and information theory, optimum detection with soft outputs and spatial multiplexing to orthogonal frequency division multiplexing.