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Adding noise to a motion
Adding noise to a motion can be accomplished by nesting the predefined NOISE step method inside the motion. Below, an ellipse motion was made noisy using this approach.

Animation path;
Animation noise;
BFont font;

void setup()
{
  size(400,100);
  font = loadFont("RotisSanSer.vlw.gz");
  textFont(font, 20);
  
  noise = new Animation(this, loadImage("image.gif"), 0,0, 20,20);
  noise.setStep("NOISE");
  
  path = new Animation(this, noise, 100,25, 200, 40);
  path.setDuration(10000);
  path.setStep("ELLIPSE");
}

void loop()
{
  background(127);
  path.draw();
  fill(0);
  text("Click to show animation-rectangles.", 25, 15);
  noFill();
}

void mouseClicked()
{
  if (path.rectangleVisible())
  {
    path.hideRectangle();
    noise.hideRectangle();
  }
  else
  {
     path.showRectangle();
     noise.showRectangle();
  }
}