I would like to combine multiple sine waves with differing amplitudes, frequencies and phases into a single curve that I can display as a graph. What formula will I need to create the points for the curve?
Combining Sine Waves on Chart
2
$\begingroup$
trigonometry
functions
numerical-methods
signal-processing
graphing-functions
-
0Ideally, yes. I will the$n$ be able plot the results o$n$ a graph. – 2011-08-12
1 Answers
2
You can start out with just
$a_0 \sin(2\pi f_0 t + \phi_0 ) + a_1 \sin(2\pi f_1 t + \phi_1) + \cdots.$
If there are an infinite number of terms, then they might converge into a recognizable waveform that has an easy description as a function such as a square wave or a triangle wave.
-
0Thanks for the reply. The resulting curve would not be a square wave or triangle wave. The resulting curve would be one which oscillates more on some occasions than others. – 2011-08-12