|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/introduction-to-fourier-transform-and-spectral-analysis/
课程评论：没有评论
课程名称：傅里叶变换与谱分析入门 课程概述：傅里叶变换的复杂数学在众多教科书中都有所阐述，但对其基本原理的解释却屈指可数。本课程旨在针对那些在该领域经验不足但渴望理解其工作原理的学员，通过多年的信号和图像处理实践，我发现简单的解释往往被忽视。本课程将提供傅里叶变换的入门知识。 课程结构分为两个主要部分：第一部分复习理解傅里叶积分所需的数学基础，包括三角函数、导数、积分以及幂级数（指数和复数指数）。我们将重点关注基本技能，而不是复杂的细节。 第二部分将介绍积分傅里叶变换，深入探讨傅里叶变换的性质及其在工程和通信挑战中的应用。在这一部分，我们将讨论卷积、交叉相关、调制、解调等内容。 课程的目标是提供可以应用于线性系统分析、过滤、采样及一些更高级的信号处理主题的基础知识。课程包含幻灯片、两个问题集以及其解答的Adobe Acrobat文件。 另有一门课程《离散傅里叶变换与谱分析（MATLAB）》深入讲解离散傅里叶变换及信号处理实例。
There are hundreds of textbooks that cover the complicated mathematics of the Fourier transform but no materials that explain its most basic principles. After many years working in signal and image processing, I have discovered that simple explanations are often overlooked. This course is targeted towards individuals who may have little experience in the area but have a desire to understand how things work.This course will provide an introduction to the Fourier transform. The first section is a review of the mathematics core to understanding Fourier integrals. We will review trigonometric functions, derivatives, integrals, and power series - both exponential and complex exponential. The course will not focus on complicated details and will instead concentrate on the basic skills required.The second section will begin to introduce Integral Fourier transform. We will dive into the properties of Fourier transform as well as their application to engineering and communication challenges. Here, we will cover convolution, cross-correlation, modulation, demodulation, and more.The goal of the class is to provide fundamental knowledge that can be applied to the analysis of linear systems, filtering, sampling, and some of the more advanced topics in signal processing. The course includes slides, two problem sets, and their solutions in an Adobe Acrobat file.Discrete Fourier Transform and signal processing examples in Matlab are covered in a separate course "Discrete Fourier Transform and Spectral Analysis (MATLAB)"
