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wave and rider

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

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  1. Jon

    Jon Guest

    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
     
  2. Tim Williams

    Tim Williams Guest

    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 Baer

    Robert Baer Guest

    ....just use a polarity inverter on the time axis.
     
  4. Yeah I'm confused by what he means by signal.
     
  5. Sjouke Burry

    Sjouke Burry Guest

  6. Jon

    Jon Guest

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

    Martin Brown Guest

    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.
     
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