Hi Tony see if this explains it better and maybe the answer you are after?????
Unlike the zirconia sensor which produces a voltage, the titanium sensor changes resistance in relation to the oxygen content in the exhaust. A reference voltage, usually 5 volts is supplied to the oxygen sensor by the ECU.
This voltage passes through the resistive titanium dioxide and the ECU monitors the return (signal) voltage. The titanium sensor makes no reference to the outside air for its measurement.
The resistance of the titania sensor varies according to the exhaust gas. If the gas contains excess oxygen (a lean mixture) the resistance is high and around 20 K ohms. When the gas contains little or no oxygen (a rich mixture) the resistance is low and close to 1 K ohm.
therefore if we keep it simple then the theory goes like this
LEAN = high Resistance , means ECU ref voltage would also be high 4 to 5 volt.
RICH = low Resistance , means ECU ref voltage would be low 0 to 1 volt.
Just remember it as the same as a NTC temp sensor. Engine cold equals high volts, engine hot equals low volts. just replace cold & hot with lean and rich....
therefore the voltage trend is the reverse to a Zirconia (high volts rich / low volts lean)
Ed has the correct theory but the wrong around I think.