wave and rider

This is the signal I hope to create:

https://sphotos-b.xx.fbcdn.net/hphotos-ash4/s480x480/2049_10151353534278810_133123559_n.jpg

both the frequency of the blue wave and the frequency of the red rider wave
are adjustable.

I came up with the equation for the wave using vector calculus, but it is
unlikely that the math decoder can crunch out a signal in real time at the
press of a key.

x(t) = t + (6*cos(t))*(0.5*(sin( 25*sin(t) ))*(1/((1+36*((cos(t))^2))^.5)))
y(t) = 6*sin(t) - (0.5*(sin( 25*sin(t) ))*(1/((1+36*((cos(t))^2))^.5)))

any ideas?

Jon

 

It doesn't loop back on itself, so you're going to have a difficult time
drawing that on an X-Y plot.

Tim

 

....just use a polarity inverter on the time axis.

 

Yeah I'm confused by what he means by signal.

 

Ah!! you want a signal to back and forth in time!!

At last timetravel in both directions solved!!

 

https://sphotos-b.xx.fbcdn.net/hphotos-ash3/s480x480/602730_10151354609363810_2113498556_n.jpg

 

It is multivalued for various t how exactly do you expect your hardware
to output more than one voltage at a single port?

That one is carefully chosen so that y(t) vs x(t) has only one value.

You need to think very carefully about what it is you are trying to do.
The parametric curve in t of x(t), y(t) exists but if a slice for
constant T0 cuts that curve in several places you have a big problem.