Introduction to the Discrete Fourier Transform(Python)(FREE)

Introduction to the Discrete Fourier Transform(Python)(FREE), available at Free, has an average rating of 4.2, with 6 lectures, based on 122 reviews, and has 7061 subscribers.

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You will learn about understand the math behind the Discrete Fourier Transform(DFT), one of the most useful formulas in applied math and computer science. gain a deeper appreciation for the DFT by applying it to simple applications using Python be able to mathematically and programmatically determine note/chord of a sound file using the DFT in Python understand the basics of digital audio be able to filter out noise from a sound file using Python be able to understand the basics of sound compression and filtering understand the difference between time domains vs. frequency domains of digital signals implement your own version of the Discrete Fourier Transform in Python and compare it to the efficient Fast Fourier Transform understand why the DFT works understand the DFT from the geometric viewpoint via the inner product be able to programmatically play sounds from .txt and .wav files understand the basics of sounds, music theory, physics of sounds This course is ideal for individuals who are anyone who wishes to understand the Discrete Fourier Transform and its applications or anyone who wishes to understand a beautiful concept that lies at the intersection of math and music or anyone who wishes to see a powerful and interesting application of Python and Numpy. It is particularly useful for anyone who wishes to understand the Discrete Fourier Transform and its applications or anyone who wishes to understand a beautiful concept that lies at the intersection of math and music or anyone who wishes to see a powerful and interesting application of Python and Numpy.

Enroll now: Introduction to the Discrete Fourier Transform(Python)(FREE)

Summary

Title: Introduction to the Discrete Fourier Transform(Python)(FREE)

Price: Free

Average Rating: 4.2

Number of Lectures: 6

Number of Published Lectures: 5

Number of Curriculum Items: 6

Number of Published Curriculum Objects: 5

Original Price: Free

Quality Status: approved

Status: Live

What You Will Learn

understand the math behind the Discrete Fourier Transform(DFT), one of the most useful formulas in applied math and computer science.

gain a deeper appreciation for the DFT by applying it to simple applications using Python

be able to mathematically and programmatically determine note/chord of a sound file using the DFT in Python

understand the basics of digital audio

be able to filter out noise from a sound file using Python

be able to understand the basics of sound compression and filtering

understand the difference between time domains vs. frequency domains of digital signals

implement your own version of the Discrete Fourier Transform in Python and compare it to the efficient Fast Fourier Transform

understand why the DFT works

understand the DFT from the geometric viewpoint via the inner product

be able to programmatically play sounds from .txt and .wav files

understand the basics of sounds, music theory, physics of sounds

Who Should Attend

anyone who wishes to understand the Discrete Fourier Transform and its applications

anyone who wishes to understand a beautiful concept that lies at the intersection of math and music

anyone who wishes to see a powerful and interesting application of Python and Numpy.

Target Audiences

anyone who wishes to understand the Discrete Fourier Transform and its applications

anyone who wishes to understand a beautiful concept that lies at the intersection of math and music

anyone who wishes to see a powerful and interesting application of Python and Numpy.

THIS COURSE IS NOW FREE!!

Because of my busy schedule, I will not be able to maintain or support this course. Udemy requires that video content must be under 2 hours to make a course free. So I have unpublished most of the videos to satisfy the requirements. Please see my youtube channel for all lecture videos. Youtube Channel: @longnguyen8112

Enjoy!

The Discrete Fourier Transform (DFT) is one of the most useful algorithms in computer science and digital signal processing. If you’ve ever opened a JPEG, listened to an MP3, watched a MPEG video, or used voice recognition of Alexa or the Shazam app, you’ve used some variant of the DFT. Its efficient implementation, the Fast Fourier Transform, is considered one of the top 10 algorithms of the 20th century by the American Institute of Physics and the IEEE Computer Society. Fortunately, the math is very accessible and only involves basic complex numbers and basic trigonometry.

This course is a very basic introduction to the Discrete Fourier Transform. We will focus on understanding the math behind the formula and use Python to do some simple applications of the DFT and fully appreciate its utility. . The Python code we are writing is, however, very minimal. Students with little or no programming experience will still be able to learn Python through the examples in the lectures.

Students should have Anaconda installed with the Jupyter Notebook. However, all of the programming assignments can also be run on the cloud on MyBinder.

Course Curriculum

Chapter 1: Overview

Lecture 1: Overview

Chapter 2: Digital Audio Basics

Lecture 1: Digital Audio Basics

Chapter 3: Aliasing and the Nyquist Frequency

Lecture 1: Aliasing and the Nyquist Frequency

Chapter 4: Understanding the Discrete Fourier Transform

Lecture 1: Understanding the Discrete Fourier Transform

Chapter 5: A Simple Filtering Application

Lecture 1: A Simple Filtering Application

Instructors

Long Nguyen
Faculty

Rating Distribution

1 stars: 0 votes

2 stars: 3 votes

3 stars: 22 votes

4 stars: 48 votes

5 stars: 49 votes

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