In datasheets of chips, usually they have reference designs and to those designs bypass capacitors are predetermined. But, when I examine some high level designs of those chips I see different bypass capacitors. For example, if the bypass capacitor in the reference design is shown as 1 uF only, I see 0.1 uF, 1 uF and 15 uF capacitorsin a specific application circuit of that chip. So in mixed-signal designs, the designer takes extra cares for bypass capacitors.
I want to know the calculation of the capacitance values and which type of capacitor I should use in each specific application, power range and frequency range. To make this question more clear, I draw this example mixed-signal system below:
There are digital blocks, analog blocks an an RF block in the system. To make a case, let say there are two digital chips work in 400 MHz and 200MHz and draws 100 mA and 50 mA drain pulses sequentially. And in analog blocks, there is an ADC which processes very sensitive signal(let say about a few nV's) in 10 - 50 MHz range. Other Analog block is also can be considered sensitive and works in 5 - 20 KHz(Acoustic) frequency range. Then there is a RF block which transmits 1GHz, 20 dBm carrier waves. So, if we also add MCU to the system, how should we calculate the bypass capacitors and how to choose capacitor types as well. Please make your case with calculations and reasons. please be deterministic rather than empirical.