Fourier Synthesis Fourier Series


Click get button to fetch coefficients. Click set button to modify coefficients.

0f
f
2f
3f
4f
5f
6f
7f
sin
cos
8f
9f
10f
11f
12f
13f
14f
15f
sin
cos


How to play:
  1. Left click and drag the [ball, green] circles to change the magnitude of each Fourier functions [Sin nf, Cos nf].
  2. Right click the mouse button to change the magnitude between 0 and 1.0
  3. Click Play to turn on the sound effect, Stop to turn it off.
  4. The coefficient of sin(0f) is used as amplification factor for all modes.
  5. (Use it to change the sound level)¡Athe coefficient of cos(0f) is the DC component.
  6. Click the checkbox at the top(after stop) will show square the the amplitude of the signal.
The default value for base frequency is f=100Hz, you can change it from the TextField. (20 < f < 2000). The ear is 1000 times more sensitive at 1kHz than at 100Hz.
 
frequency range
speech song
adult male  80-240 up to 700
adult female 140-500 up to 1100

Related Java application/applet


Physlet Synthesizer Original site
Fourier Synthesis Original site


Your comments/suggestions are highly appreciated. E-mail Click hwang@phy03.phy.ntnu.edu.tw

Author¡GFu-Kwun Hwang Dept. of Physics National Taiwan Normal Univ.
last modified ¡G