Intuitive Guide to Fourier Transform and the Spectrum
Description
This book helps a practitioner develop an intuitive understanding of the Fourier transform and its application to data analysis. The authors start with the Fourier series and progress step-by-step from CTFT, DTFT, discrete Fourier transform (DFT) to the Fast Fourier Transform (FFT). Each equation is accompanied by a detailed explanation and graphs. The book also covers the application of the Fourier transform to random signals and how to assess their spectral distribution. Spectrum analysis using both the Parseval's and the Wiener-Khintchine-Einstein theorems of power estimation are discussed. Periodogram and Autopower, the two most common methods of doing non-parametric spectral analysis, are discussed and guidelines are given for creating low-variance, low-bias spectrum using windows and ACF truncation. The book includes numerous examples, detailed explanations and plots, making difficult concepts clear and easy to grasp.
Reviews / Votes
"The amount of effort and feeling you have put into this jumps right off the page/screen. Thank you for this great gift to the community and students interested in learning more!" - Raj Rao Nadakuditi, Assistant Professor, EECS, University of Michigan"Your first few chapters introduce Fourier analysis in a pretty leisurely manner similar to the first 4 chapters in my 1989 text, Principles of Digital and Analog Communications. I think that it is a good way to introduce the topics, but that was on a semester system. On a quarter system, 14 weeks becomes 10 weeks, so weaving the "intuitive" part into examples, lectures, homework, and labs is the alternative to more leisurely lectures." - Jerry D. Gibson, Professor, Department of Electrical and Computer Engineering, University of California, Santa Barbara
"Your book really sounds great! I will also look at your signal processing tutorials. I am currently teaching several ECE students individually, and I will recommend your book to them." - James W. Beauchamp, Research Professor, Professor Emeritus of Music and Electrical & Computer Engineering, University of Illinois at Urbana-Champaign
"From what I have seen, great job on those first chapters! We should be using your book in the EE department!" - David Retz, Ph.D., Lecturer, Cal Poly San Luis Obispo
"I really like your friendly style of writing and the clear and elegant explanations you provide." - Roger Powell BEng, PhD, CEng, MIET, Brunel University, London
"I will be teaching DSP in the spring of 2018 and will use it as a supplement." - Michael Piovoso, University of Delaware
"The book is nicely written and definitely useful for students. You have included things such as fftshift etc which is useful when using matlab. It would be very useful for us." - Professor Malin Premaratne, Director of Research, Department of Electrical and Computer Systems Engineering, Monash University Clayton Victoria Australia
"Congratulations on a wonderful book. Your writing is very elegant and lucid. I teach digital design and will make it a reference for my upcoming course." - Philip Leong, Professor of Computer Systems, School of Electrical and Information Engineering, The University of Sydney"Your book includes a very intuitive and history oriented presentation of the material." - Gerhard Klimeck, Director of the Network for Computational Nanotechnology, Reilly Director of the Center for Predictive Materials and Devices, Professor of Electrical and Computer Engineering
"This looks like a needed and long overdue book on a critical topic.Tommy Vaughan
Professor in the Departments of Radiology, Electrical Engineering and Biomedical Engineering at the University of Minnesota. I really appreciate your attempt to provide intuition! Students can use more intuition, as opposed to only a dry mathematical development. Another book that tries to do this is Lyons's "Understanding Digital Signal Processing", but that is addressed more towards practicing engineers." - Yannis Tsividis, Edwin Howard Armstrong Professor, Department of Electrical Engineering, Columbia University
"Your book would be very valuable indeed." - Dorit Merhof, Faculty of Electrical Engineering and Information Technology, Institute of Imaging & Computer Vision - Lehrstuhl für Bildverarbeitung, RWTH Aachen University Germany"A great book!" - Zoran Kostic, Assoc Prof., EE Dept., Columbia University
"I teach mainly power conversion systems and we use Fourier transformations quite extensively. I'll be happy to refer to the book for my courses." - Matthias Preindl, PhD
Assistant Professor, Columbia University, Department of Electrical Engineering, Motor Drives and Power Electronics Laboratory (MPLab)
"Thank you for introducing your book to me. I will recommend it to my students in my Maths course and as a reference to my other course in Advance Photonics where the students apply DFT to waveguide analyses." - Prof Chua Soo Jin, National University of Singapore"The book looks wonderfully readable and well explained, with a great intuitive approach linking the pictures with the formulae. I will certainly recommend it to my mathematics students (we don't go that deep into it, chapters 1,2 and parts of 4 and no further) and also suggest the book and the tutorials for their other specialist modules in comms/signals." - Daniel Nucinkis, Imperial College, London
"I just read the Preface and I love it already :-). Will definitely recommend to my students." - Alexandra von Meier, Adjunct Professor, Dept. of Electrical Engineering and Computer Science, UC Berkeley, Director, Electric Grid Research, California Institute for Energy and Environment / Berkeley Energy and Climate Institute
"I like the organization and approach of the book. The first half of the book is very relevant for me." - Paul W. Cuff, Assistant Professor, Information Sciences and Systems (ISS), Electrical Engineering, Princeton University
More details
Persons
Charan Langton has had a 40-year career in satellite engineering. She was the first women graduate in Aeronautical Engineering California Polytechnic University, San Luis Obispo, CA. She received an MS in Electrical Engineering, from the University of Southern California, Los Angeles. She was designated "Distinguished Engineer" at Maxar prior to retiring, served on Industrial Advisory Board for Aerospace Engineering Department at California Polytechnic University at San Luis Obispo, CA, and was recognized specialist in communication system performance simulation. She has given numerous talks during her career, taught in-house classes in communications engineering at Loral Space Systems, and is the author of numerous papers, tutorials and articles.
Victor Levin is a Senior RF Engineer at Apple Inc. Previously, he worked with a startup, developing low-cost satellite phones. He also developed and won a competition for an early-warning system for campus students. He received his MSEE from the Georgia Institute of Technology and a BSEE from the University of California, Santa Barbara.