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How to calculate the third order distortion of the cascaded components? Any equations

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saulbit

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I am designing a receiver. In a traditional way, I use two mixers and three ampllifiers. The OIP3 of the amplifiers is +27dBm, and IIP3 of the mixers is about 18dBm. The simple structure of the system is something like the mixer->amplifier->filter->mixer->amplifier->amplifier->filter. The level of the mixers is about -30dBm. So the third order output of the mixer is about (18dBm-(-30dBm))*2=96dBc. As the three amplifiers are of the same gain about +15dB and the mixers are of the same conversion loss about 8dB, the third output of the second amplifier should be (+27dBm-(-30dBm-8dB+15dB))*2=100dBc. In theory, the third output of the third amplifier should be (+27dBm-(-30dBm-8dB+15dB+15dB))=70dBc. Am I right in theory? I just make the calculation of each individual components and I haven't taken the cascaded effect into account. Would anyone like to point me out where I am not right and tell me how to modify my calculations? In which case we should care about the cascaded effect? Is there some equation like the noise figure one? Any reply is appreciated.
 

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