At both the input and output (especially the output), I need to place several bypass capacitors (all MLCC). The datasheet for the voltage regulator seems to suggest that using a 10uF on both the input and output is usually adequate. However, I see some high frequency noise (switching regulator) that I'd like to supress as well. To address this, the app note suggests using additional smaller value capacitors targeting those frequencies (based on the resonant frequency of the MLCC capacitor).
I'm using multiple capacitors at varying values, such as 0.001uF, 0.1 uF, 10 uF. Where should I place these three capacitors in relation to the voltage regulator chip?
Should I place the biggest capacitor nearest to the IC or the smallest?