NTNUJAVA Virtual Physics Laboratory
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Easy Java Simulations (2001- ) => wave and fluid => Topic started by: ahmedelshfie on April 28, 2010, 11:28:18 pm



Title: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on April 28, 2010, 11:28:18 pm
This follwing applet is EJS version of Fourier Synthesis (You can hear the sound,too!)
Created by pro Hwang modified by Ahmed
Original project EJS version of Fourier Synthesis (You can hear the sound,too!) (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1073.0)

You can adjust the Fourier component with the slider and watch the wave change at the same time.
Click "play" to hear the sound.


Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: motazibrahim on April 29, 2010, 01:40:08 am
thank you ;)


Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on April 29, 2010, 02:37:30 am
This a simple applet created by prof Hwang
I add a musical keyboard just for fun. ENjoy it!  ;)


Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on June 26, 2010, 12:30:02 am
In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation.
Today the subject of Fourier analysis encompasses a vast spectrum of mathematics with parts that, at first glance, may appear quite different. In the sciences and engineering the process of decomposing a function into simpler pieces is often called an analysis. The corresponding operation of rebuilding the function from these pieces is known as synthesis. In this context the term Fourier synthesis describes the act of rebuilding and the term Fourier analysis describes the process of breaking the function into a sum of simpler pieces. In mathematics, the term Fourier analysis often refers to the study of both operations.
In Fourier analysis, the term Fourier transform often refers to the process that decomposes a given function into the basic pieces. This process results in another function that describes how much of each basic piece are in the original function. However, the transform is often given a more specific name depending upon the domain and other properties of the function being transformed, as elaborated below. Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis.


Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on August 18, 2010, 01:42:34 am
Here another version from Fourier Synthesis design by prof Hwang,,modified by Ahmed.
This applet design using JDK1.0.2.
Original applet on Fourier Synthesis (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=17.0)
I upload zip file,,after download unzip file and access applet.
Enjoy!


Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on September 24, 2010, 08:09:17 pm
Original applet Fourier Synthesis design by prof Hwang
URL applet Fourier Synthesis (http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=17.0)




Title: Re: EJS version of Fourier Synthesis (You can hear the sound,too!)
Post by: ahmedelshfie on September 24, 2010, 08:44:25 pm
This is Fourier Synthesis design by Paul Falstad
URL applet http://www.falstad.com/vowel/