The Fourier Transform is a hidden powerhouse, silently working behind the scenes in countless devices. From recognizing your face to compressing the audio of your phone call, from MRIs to electrocardiograms, the Fourier Transform is a vital part of modern technology.
The Fourier Transform does all this by breaking down a signal into its fundamental components, just like taking apart a Lego car.
In this introductory video, discover how the Lego bricks of the Fourier Transform (sinusoids), can be used to synthesize a speech signal, and glimpse the exciting journey that awaits you on the course.
Master the Fourier Transform intuitively with this comprehensive and visual online course. Designed for students and engineers who find traditional mathematical explanations difficult to grasp, the course sheds light on complex concepts by using everyday analogies. Learn to visualize the Fourier Transform and apply its principles in the real world. Gain a competitive edge with a deeper understanding of this essential mathematical tool.
By the end of this course, not only will you have a thorough understanding of the Fourier Transform and its key concepts, but you'll also be able to calculate and interpret its output, analyzing complex signals to extract the hidden patterns they contain.
Unleash the power of the Fourier Transform on your engineering career.
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Mark Newman is an electronics engineer with over 25 years of professional experience. He is a graduate of the Manchester University School of Electrical and Electronic Engineering in the UK. He has developed products ranging from robots for milking to devices for feeding and monitoring patients in intensive care, spending many hours analysing signals and implementing mathematical models. Today he manages a successful YouTube channel, producing educational videos for engineering students studying signals and systems. His emphasis on intuitive learning and visually demonstrating what the equations mean, has helped thousands of students to properly understand the mathematical principles they need to succeed.
The course is made up of a mixture of videos and worksheets, and is designed to be self-paced and accessible online. You can learn at your own convenience, where and when you want.
The videos explain each individual concept comprehensively, visually, and intuitively, and the worksheets, together with their fully worked answer sheets help you consolidate your new found knowledge by allowing you to practice each concept.
The video content of the course totals approximately 3.5 hours long, spread across multiple modules. Each module includes several videos, typically ranging from 5 to 7 minutes in length, with the longest video just under 15 minutes long. The course tells the story of the Fourier Transform in episodic format, allowing you to pause, think about what you've learned, and continue when you feel ready. This episodic format makes it easier to fit the course into your busy schedule.
The self-paced format allows you to complete the course at your own pace, but expect to invest around 6-7 hours in total (including the worksheets).
This course is structured as a developing story, each video forming an episode of that story. We begin with a look at Joseph Fourier himself, the man who invented the Fourier Series. We find out who he was, learn about the time in which he lived, and discover what led him to propose the Fourier Series.
As the story progresses, we introduce each of the core concepts that Fourier needed to form his theory: sine waves, complex numbers, and convolution. We look at each concept in depth, learning about its historical as well as its mathematical context.
In the penultimate module, we learn how Fourier brought all these concepts together to form the Fourier Series. We study what the Fourier Series equation means, how it works, and what insights it gives us into our signal. We also consider some important limitations of the Fourier Series.
Finally, we discover how Fourier's theories were developed and expanded by other mathemeticians to form what we now call the Fourier Transform. Although this development overcame most of the limitations of the Fourier Series, some limitations remained, and we conclude by understanding just what the Fourier Transform can and can't do, enabling you to fully appreciate how and when to use it.
By exploring not only the mechanics of the Fourier Transform, but also the underlying logic of the principles making it up, the course aims to equip you with a deep contextual understanding, enabling you to confidently apply its principles in many different scenarios.
While every effort has been made to leave no stone unturned in explaining the Fourier Transform, the course is aimed at engineers and engineering students. Therefore a basic understanding of calculus and linear algebra is an advantage. However, clear explanations and examples are provided to ensure accessibility for students from a wide range of backgrounds.
Yes, you'll have lifetime access to the course materials, including all videos and worksheets.
| IOS Users: Yes |
Android & Desktop Users: No |
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| If you are using IOS, then you can download the Teachable App The app allows offline access to all courses hosted on the Teachable platform like this one. | The course can only be accessed via your web browser. Therefore an internet connection is required. Unfortunately there is no Android or Desktop app currently available for the Teachable platform where this course is hosted. However, they are constantly working on new features and improvements so this answer may change in the future. |
You can ask me or your fellow students questions via the course's online comments section or email me at [email protected].
Yes, there is a 14-day money-back guarantee. If you are not satisfied with this course within 14 days of enrollment, you are eligible for a full refund. Simply email me at [email protected] to request the refund.
Simply click the "Enroll Now" button below, choose a payment plan, and follow the on-screen instructions.