Hi Juan Hidalgo,
LPC4370 have the 12 bit high speed analog and the USB module.
Whether it can used to interface the I/Q demodulator, you still need to check whether the ADC sample rate and the measurement range meet the demand.
From the datasheet you can find:

Please whether check 80Msample/s and the 0-1.2V can meet your I/Q demodulator demand.
If it has no problem, you can use it, after you get the ADC data, you can send the data through the USB.
Wish it helps you.
Have a great day,
Kerry
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