Develop a model for producing a repeating pattern of 8 waves, with 6 smaller waves of approx. the same size and the second and sixth waves much larger. The sketch below gives a general indication of the eight wave pattern.
(Sorry for large image)
I would like to know how to "take a shot" at it, the solution must be a sine function. Can be generic, by that I mean no definite amplitude, only that the model clearly resemble the one given.
I have tried to emulate it by trial and error, combining functions such as in the form [y=sin x + 0.3sin3x] with no luck.
Thanks in advance,
My general approach would be as follows.
For the small humps, I'd take a simple sine function of frequency .
For the large humps, I'd start with a more complicated function which is of frequency which will basically consist of just the top half of a single sine wave, being zero everywhere else.
Then I would do a Fourier analysis on the latter, which ought to be more-or-less tractable, in a similar way to how it works for the half-wave rectified sine.
Then you add this to the raw sine function of frequency .
I haven't tried it out, but it's an approach that may work for you.