# wave and rider

Discussion in 'Electronic Design' started by Jon, Jan 25, 2013.

1. ### JonGuest

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

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

2. ### Tim WilliamsGuest

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

Tim

3. ### Robert BaerGuest

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

4. ### George HeroldGuest

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

6. ### JonGuest

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

7. ### Martin BrownGuest

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.  