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Meant to serve an "entertaining textbook," this book belongs to a rare genre. It is written for all students and practitioners who deal with Fourier transformation. Fourier series as well as continuous and discrete Fourier transformation are covered, and particular emphasis is placed on window functions. Many illustrations and easy-to-solve exercises make the book especially accessible, and its humorous style will add to the pleasure of learning from it.
List of contents
Fourier Series.- Continuous Fourier Transformation.- Window Functions.- Discrete Fourier Transformation.- Filter Effect in Digital Data Processing.
About the author
1945 born in Göggingen/Augsburg, 1966-1972 studies of Physics at the Technische Universität München, 1975 Promotion, 1985 Habilitation, 1985-1992 Assistent, since 1993 University Professor at the Universität Leipzig, Faculty of Physics and Geosciences
Summary
One of the general tasks in science and engineering is to record measured signals and get them to tell us their ‘secrets" (information). These signals vary over time and may be periodic or aperiodic, noise or also superpositions of components. Anyway, what we are measuring is a conglomerate of several components, which means that effects caused by the measuring-devices’ electronics and, for example, noise, get added to the signal we're actually after. Meant to serve as an "amusing textbook," this book is written for all students and practitioners who deal with Fourier transformation. Fourier series as well as continuous and discrete Fourier transformation are covered, and particular emphasis is placed on window functions. Many illustrations and easy-to-solve exercises make the book especially accessible, and its humorous style will add to the pleasure of learning from it.
Additional text
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)
Report
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)
