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Signal Synthesize and Decompose


By Fourier theory, any periodic signal can be decomposed as a series of sine and cosine signal.
.
x(t)=a0/2
    + a1*sin(2*pi*f1*t)+b1*cos(2*pi*f1*t)
    + a2*sin(2*pi*f2*t)+b2*cos(2*pi*f2t)
    +.........
.
That is to say, any signal can be composed by a series of sine and cosine signal. For example, a square signal can be written as:
x(t)=sin(6.28*100*t)+1/3*sin(6.28*300*t)+1/5*sin(6.28*500*t)+.........
By add these sine signal together, we can get a square signal.

The applet below can generate sine or cosine signal and add them together, so you can use it to compose any complicated signal.
 

Signal Synthesize and Decompose
Usage:
1.Input Frequency, Amplitude and phase of a sine signal.
2.Press "Generate" to produce this signal
3.Press "AddOff" or "AddOn" to On/Off the signal synthesize function.
Do 1,2 steps again and again to compose a complicated signal.
4.Press "Reset" to clear the signal in the window
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