I would like to create a signal that is nearly uniform distributed (as depicted in Figure 1). It must consist of some single sine waves (e. g. 400 Hz, 430 Hz, 500 Hz) or a random band limited signal (e g. 495 to 500 Hz as depicted in Figure 2).
I expiremented with some parameters but I didn't get a good result. Does anyone know an analytical mathematical description or a kind of "thumb rule" for creating such signals?
Additionally I would prefer a signal that is as harmonic (in time domain) as possible (one single frequency would be the best - but of course not possible ;-) ). The signal is faded in and out with an raised cosine, because it's repeated periodically by a signal generator and I want to avoid steps in my signal.
To answer the "why" question: I have an nonlinear system which I want to correct by avaraging (see picture 3). Usually I would get the red point which differs from the linear "true" value represented by the blue dotted line. The magenta colored dots are createt by a sine-wave and the big blue dot is gained through the avaraging of those magenta dots. This works whith a sine-wave signal, but since a sine-wave is not uniform distributet it is not perfect and the big blue dot differs from the big green dot representing the true value.
I tried to combine three sinusoids with different amplitudes. The result was not to bad but its a trial and error way. I would prefer an analytical way if there is any.