Mastering the Discrete Fourier Transform in One, Two or Several Dimensions
Mastering the Discrete Fourier Transform in One, Two or Several Dimensions
复制标题
掌握一维、二维或多维的离散傅里叶变换
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
I. Amidror
中科院分区：
文献类型：
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作者：
I. Amidror
离散傅立叶变换(DFT)是一种非常有用的工具，在许多不同的学科中都有应用。然而，它的使用需要谨慎。这本书的目的是解释DFT及其各种人工制品和陷阱，并展示如何避免这些(只要可能)，或者至少如何识别它们以避免误解。这种在单卷中集中处理DFT人工制品和陷阱的做法确实是新的，它使这本书成为最广泛的DFT用户的宝贵信息来源。由于一维和二维情况的特殊重要性，本文对它们给予了特别关注，但讨论也涵盖了一般的多维情况。这本书倾向于一种由数学支持的图解、直观的方法，讨论伴随着大量的数字和说明性的例子，其中一些在视觉上很吸引人，甚至很壮观。掌握一维、二维或多维离散傅立叶变换是为科学家、工程师、学生和任何希望扩大他们对DFT及其实际用途的知识的读者而设计的。这本书也将是非常有用的天真用户来自不同的科学或技术学科谁必须使用DFT为他们各自的应用。必备的数学背景仅限于对微积分和连续和离散傅立叶理论有基本的了解。
The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines. However, its use requires caution. The aim of this book is to explain the DFT and its various artifacts and pitfalls and to show how to avoid these (whenever possible), or at least how to recognize them in order to avoid misinterpretations. This concentrated treatment of the DFT artifacts and pitfalls in a single volume is, indeed, new, and it makes this book a valuable source of information for the widest possible range of DFT users. Special attention is given to the one and two dimensional cases due to their particular importance, but the discussion covers the general multidimensional case, too. The book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular. Mastering the Discrete Fourier Transform in One, Two or Several Dimensions is intended for scientists, engineers, students and any readers who wish to widen their knowledge of the DFT and its practical use. This book will also be very useful for naive users from various scientific or technical disciplines who have to use the DFT for their respective applications. The prerequisite mathematical background is limited to an elementary familiarity with calculus and with the continuous and discrete Fourier theory.