The present invention provides metal-containing sulfated activator-supports, and polymerization catalyst compositions employing these activator-supports. A method of pulse transmission communications includes: generating a modulated pulse signal waveform; transforming said modulated pulse signal waveform into at least one higher-order derivative waveform; and transmitting said at least one higher-order derivative waveform as an emitted pulse. The driving shafts are parallel to the driven shaft.