Introduction.- Fourier Series.- Continuous Fourier Transformation.- Window Functions.- Discrete Fourier Transformation.- Filter Effect in Digital Data Processing.- Data Streams and Fractional Delay.- Tomography: Back projection of Filtered Projections.
Prof. Dr. rer. nat. habil. Tilman Butz studied Physics at the Technical University of Munich, Germany, where he received the doctors degree and habilitated in Experimental Physics. He was a Heisenberg Fellow. He was appointed to the Professorship in Experimental Physics at the University of Leipzig, Germany, in 1993 and headed the accelerator laboratory LIPSION until his retirement in 2011. His expertise is in Nuclear Solid State Physics with focus on Nuclear Spectroscopy and Nuclear Microprobes addressing a broad range of fields in materials and life sciences. He was engaged in Academic Self-Administration as Vice-Dean, Dean, and Vice-Rector for Research.
From the reviews: "This short book is about single-variable Fourier series and transforms with a total emphasis on signal processing . Each chapter ends with a number of exercises (solutions are at the end of the book). Students with the persistence to finish the exercises without looking at the answers will have learned a lot . The book s focus is unusual and may be a reason for the success of the German editions." (Colin C. Graham, Mathematical Reviews, Issue 2006 k) The text reads like you are listening to a teacher explaining very carefully and patiently all the classical Fourier material to his students. The book is obviously written for the student interested in signal processing applications. one can conclude that this is a smooth introduction to Fourier transforms mainly for students with applications in mind. pages at the end of the book give the fully elaborated solutions to the exercises. (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)"
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