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所在平台: Udemy |
课程主页: https://www.udemy.com/course/discrete-transforms/
课程评论：没有评论
**课程名称：离散变换** **课程概述：** 本课程将从数学和图形直观两个角度，深入讲解离散变换。课程首先回顾连续傅里叶变换，进而推导出离散时间傅里叶变换 (DTFT)，然后是离散频率傅里叶变换 (DFFT)，即傅里叶级数。接着，课程将推导离散时间和频率变换，也就是我们熟知的离散傅里叶变换 (DFT)。最后，课程将探讨快速傅里叶变换 (FFT) 算法的数学原理和实现方法。 本课程以详尽的数学推导和直观的图形解释相结合，提供对离散变换的深刻理解，这是其他课程中难以匹敌的。课程运用了大量独特的二维和三维图示，以及深入的数学讲解，确保了学习的直观性和严谨性。 本课程是“傅里叶和拉普拉斯变换”课程的延续，但无需 prior 学习基础。学习本课程将为您提供对数学变换领域的独特视角，尤其适合希望深入理解离散变换数学原理和获得直观概念的学习者。 **课程特色：** * **数学与直觉并重：** 深入的数学推导与直观的图形解释相结合。 * **独有的可视化：** 大量独特的二维和三维图示，增强理解。 * **详尽的数学分析：** 提供对离散变换数学原理的深入讲解。 * **涵盖核心概念：** 从 DTFT 到 DFT，再到 FFT 算法。 * **连贯的学习体系：** 与“傅里叶和拉普拉斯变换”课程互补。
This course takes a detailed mathematical and also an intuitive graphical approach to learning and understanding the discrete transforms. We start off with a recap of the continuous Fourier Transform and from this we derive the Discrete Time Fourier Transform (DTFT) then the Discrete Frequency Fourier Transform (DFFT) or as it is commonly known The Fourier Series. We then move onto deriving the Discrete Time and Frequency Transform which is commonly known as The Discrete Fourier Transform (DFT). Finally we look at the mathematics and implementation of an FFT algorithm.You will not find another course where the mathematics of Discrete Transforms is described in as much detail but still keep a very high level of intuition. This has been achieved by the use of many 2D and 3D diagrams which are quite unique to this course. This course along with my course on Fourier and Laplace Transforms offers a unique insight to the world of mathematical transforms.If you want a deep mathematical as well as an intuitive grasp of Discrete Transforms then this is the course for you. This is a continuation of the course Fourier and Laplace Transforms. You do not need to have taken the Fourier / Laplace course in order to do this but if may help.
