| 書目名稱 | Fourier Transforms | | 副標(biāo)題 | An Introduction for | | 編輯 | Robert M. Gray,Joseph W. Goodman | | 視頻video | http://file.papertrans.cn/348/347262/347262.mp4 | | 叢書名稱 | The Springer International Series in Engineering and Computer Science | | 圖書封面 |  | | 描述 | The Fourier transform is one of the most important mathematical tools in a wide variety of fields in science and engineering. In the abstract it can be viewed as the transformation of a signal in one domain (typically time or space) into another domain, the frequency domain. Applications of Fourier transforms, often called Fourier analysis or harmonic analysis, provide useful decompositions of signals into fundamental or "primitive" components, provide shortcuts to the computation of complicated sums and integrals, and often reveal hidden structure in data. Fourier analysis lies at the base of many theories of science and plays a fundamental role in practical engineering design. The origins of Fourier analysis in science can be found in Ptolemy‘s decomposing celestial orbits into cycles and epicycles and Pythagorus‘ de- composing music into consonances. Its modern history began with the eighteenth century work of Bernoulli, Euler, and Gauss on what later came to be known as Fourier series. J. Fourier in his 1822 Theorie analytique de la Chaleur [16] (still available as a Dover reprint) was the first to claim that arbitrary periodic functions could be expanded in a trigonometric (la | | 出版日期 | Textbook 1995 | | 關(guān)鍵詞 | Fourier analysis; correlation; harmonic analysis; signal; tables | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-2359-8 | | isbn_softcover | 978-1-4613-6001-8 | | isbn_ebook | 978-1-4615-2359-8Series ISSN 0893-3405 | | issn_series | 0893-3405 | | copyright | Kluwer Academic Publishers 1995 |
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