Hi, Okada,
As you know that the ADC converter has a SAMPLE/HOLD capacitor called Cia in the data sheet of LPC1830, there are two stage for the SAMPLE/HOLD circuit, the first stage is sampling stage, in the stage, the external input source charges the Cia capacitor, assume we charge the cap with a voltage source, the voltage source voltage is Vsample, the current is assumed as Isample, we can get a resistor by Vsample/Isample, the resistor is Rvsi. After the charging stage is over, the cap has been charged to a voltage which is equals to the external voltage source, the sampling switch is turned off, the cap will HOLD the voltage, the ADC will convert the voltage, at the time, the resistor is Ri.
So the Rvsi is more important than the Ri.
In conclusion, you have to meet the requirement of the Rs value as Fig 40, Rs is the external tested voltage output impedance, so if your external tested voltage output impedance is larger than the calculated Rs, an analog buffer based on OP AMP is required.
This is only my opinion, hope it can help you.
BR
