12-21-1807 Fourier Series Introduced
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| Audience/Grade: | College Freshman-Continuing Education |
| Discipline(s): |
Computer Engineering Electrical Engineering Engineering Mechanics |
| Special Topic(s): | |
| Learning Resource Type: |
Community - Blog |
| Media Type: |
Unknown |
| Author(s): |
Michael Smith |
| Description: | Engineering Pathway's "Today in History" event for December 21. Excerpt: "Today in History - December 21, 1807 - Fourier introduces his series at the Paris Institute. Joseph Fourier's memoir, On the Propagation of Heat in Solid Bodies, was read to the Paris Institute. It introduced the expansion of functions into trigonometric series which are now called Fourier series. The Fourier series allows periodic functions to be represented as a weighted sum of much simpler sinusoidal component functions sometimes referred to as normal Fourier modes, or simply modes for short. The weights, or coefficients, of the components, arranged in order of increasing frequency, form a sequence (or function) called Fourier series. Fourier analysis provides a frequency domain representation of a time domain function. The mapping between the two functions is one-to-one, so the transform is reversible. A common visualization of this transformation is the audio equalizer, which is a dynamic representation of a time signal converted to the frequency domain." |
| Rating: |
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| Related Resources | |
| Keywords: | Fourier transform Fourier transform convolutions Fourier series FFT algorithm FFT |
| Is Component of: |
"Today in History" Blog of the Engineering Pathway Digital Library |
| Usage Tip | |
| Use of Resource: |
Events in history can be used to connect modern technologies to their historical roots. |
| Difficulty: |
Easy |
| Interactivity Level: |
Low |
| Version Info | |
| Publication Date: | December 2008 |
| Platform/Format: |
WWW |
| Cost: |
Free |
| Download URL: | http://www.k-grayengineeringeducation.com/blog/index.php/2011/12/ |
| Metadata: |
IEEE LOM Record |
| Collection: |
NEEDS
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