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Titlebook: Digital Fourier Analysis: Fundamentals; Ken‘iti Kido Textbook 2015 Springer Science+Business Media, LLC, part of Springer Nature 2015 Disc

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發(fā)表于 2025-3-21 16:51:03 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Digital Fourier Analysis: Fundamentals
編輯Ken‘iti Kido
視頻videohttp://file.papertrans.cn/280/279340/279340.mp4
概述Covers the basic theory of the discrete and Fast Fourier transform and shows how they are implemented, using clear explanations and a large number of step-by-step illustrations.Interactive animated ap
叢書(shū)名稱Undergraduate Lecture Notes in Physics
圖書(shū)封面Titlebook: Digital Fourier Analysis: Fundamentals; Ken‘iti Kido Textbook 2015 Springer Science+Business Media, LLC, part of Springer Nature 2015 Disc
描述.This textbook is a thorough, accessible introduction to digital Fourier analysis for undergraduate students in the sciences. Beginning with the principles of sine/cosine decomposition, the reader walks through the principles of discrete Fourier analysis before reaching the cornerstone of signal processing: the Fast Fourier Transform..Saturated with clear, coherent illustrations, "Digital Fourier Analysis" includes practice problems and thorough Appendices for the advanced reader. As a special feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics..For example, a real sine signal can be treated as a sum of clockwise and counter-clockwise rotating vectors. The applet illustration included with the book animates the rotating vectors and the resulting sine signal. By changing parameters such as amplitude and frequency, the reader can test various cases and view the results until they fully understand the principle..Additionally, the applet source code in Visual Basic is provided online, allowing this book to be used for t
出版日期Textbook 2015
關(guān)鍵詞Discrete Fourier Transform; Fast Fourier Transform; Fourier Transform Learning Tools; Fourier Transform
版次1
doihttps://doi.org/10.1007/978-1-4614-9260-3
isbn_softcover978-1-4614-9259-7
isbn_ebook978-1-4614-9260-3Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2015
The information of publication is updating

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Fourier Series Expansion,nd odd functions. The former and the latter can be expressed by cosine and sine functions, respectively. The next step is the expression of a Fourier series by complex exponential functions. The coefficients in this case are also complex, but since the mathematical manipulations are simpler, this method will be used most of the time hereafter.
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Baleshwar Thakur,Rajiv R. ThakurOld analog techniques of Fourier analyzing signals are passé due to major advances in digital technology. Modern digital processing involves sampling analog time signals that are obtained from transducers (such as microphones or accelerometers) at uniform time intervals.
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Sustainable Development Goals SeriesThe digital Fourier transform (DFT) pair introduced in . is a very useful formula for numerical operations of the Fourier transform. However, if one tries to perform the calculation, it requires a large number of computations.
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DFT and Spectrum,One of the important purposes of Fourier analysis is to obtain spectra of waveforms. For that purpose, DFTs are performed on numerical sequences made from waveforms using a computer or a similar fast operational device.
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