Fourier Analysis
Fourier Analysis
Curriculum Module
Created with R2021b. Compatible with R2021b and later releases.
Information
This curriculum module contains interactive MATLAB® live scripts and MATLAB® apps that teaches fundamental concepts of fourier analysis.
Background
The module is taught from a signal processing perspective at a level suitable for an introductory signals and systems course. In the first lesson, students use apps to visualize Fourier series and build intuition about the frequency domain. In subsequent lessons, students study complex Fourier series, Fourier transforms, and discrete Fourier transforms. As students progress, they transition from utilizing apps to writing their own code to analyze signals. Throughout the module, students apply Fourier techniques to analyze recorded audio signals.
The instructions inside the live scripts will guide you through the exercises and activities. Get started with each live script by running it one section at a time. To stop running the script or a section midway (for example, when an animation is in progress), use the Stop button in the RUN section of the Live Editor tab in the MATLAB Toolstrip.
Contact Us
Solutions are available upon instructor request. Contact the MathWorks teaching resources team if you would like to request solutions, provide feedback, or if you have a question.
Prerequisites
This module assumes minimal MATLAB knowledge required for these scripts, but you could use MATLAB Onramp as a resource to acquire familiarity with live scripts and MATLAB syntax.
Getting Started
Accessing the Module
On MATLAB Online:
Use the link to download the module. You will be prompted to log in or create a MathWorks account. The project will be loaded, and you will see an app with several navigation options to get you started.
On Desktop:
Download or clone this repository. Open MATLAB, navigate to the folder containing these scripts and double-click on [PROJECTNAME.prj](matlab: openProject("PROJECTNAME.prj")). It will add the appropriate files to your MATLAB path and open an app that asks you where you would like to start.
Ensure you have all the required products (listed below) installed. If you need to include a product, add it using the Add-On Explorer. To install an add-on, go to the Home tab and select Add-Ons > Get Add-Ons.
Products
MATLAB®, Symbolic Math Toolbox™
Scripts
If you are viewing this in a version of MATLAB prior to R2023b, you can view the learning outcomes for each script here
FourierSeries.mlx
In this script, students will... | Lab Assignments | |
---|---|---|
- Compare signals in the time and frequency domains. - Analyze audio signals in the frequency domain. - Visualize Fourier series modes. - Describe how phase shift is represented in a Fourier series. - Discuss magnitude and phase. |
Lab1_FourierSeries.mlx |
ComplexFourierSeries.mlx
In this script, students will... | Lab Assignments | |
---|---|---|
- Compare signals in the time and frequency domains. - Analyze audio signals in the frequency domain. - Visualize Fourier series modes. - Describe how phase shift is represented in a Fourier series. - Discuss magnitude and phase. |
Lab2_ComplexFourierSeries.mlx |
FourierTransform.mlx
In this script, students will... | Lab Assignments | |
---|---|---|
- Compare signals in the time and frequency domains. - Analyze audio signals in the frequency domain. - Visualize Fourier series modes. - Describe how phase shift is represented in a Fourier series. - Discuss magnitude and phase. |
Lab3_FourierTransform.mlx |
DiscreteFourierTransform.mlx
In this script, students will... | Lab Assignments | |
---|---|---|
- Compare signals in the time and frequency domains. - Analyze audio signals in the frequency domain. - Visualize Fourier series modes. - Describe how phase shift is represented in a Fourier series. - Discuss magnitude and phase. |
Lab4_DFT.mlx |
Apps
Sine and Cosine Series app | Fourier Series app | Magnitude and Phase app | Complex Fourier Series app |
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Educator Resources
Copyright 2023 The MathWorks™, Inc
인용 양식
Emma Smith Zbarsky (2024). Fourier Analysis (https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.6), GitHub. 검색됨 .
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Utilities/OldVersions
버전 | 게시됨 | 릴리스 정보 | |
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1.0.6 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.6 |
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1.0.5.0 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.5 |
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1.0.4.0 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.4 |
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1.0.3 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.3 |
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1.0.2.0 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.2 |
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1.0.1 | See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Fourier-Analysis/releases/tag/v1.0.1 |
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1.0.0 |
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