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calculated the noise factor of 2-most amp

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wwm101

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in Federio Bruccoleri doctor degree’s paper
he assumes the MOST only have drain noise (channel noise)
then definitely the drain noise I2n/△f=4KT*r*gm=4KT*NEF*gm

in follow schematic, he calculated the noise factor equal to 1+NEFa+4NEF(AVF-1)/AVF2   at ΔNEF=NEFb-NEFa And gb+1/ZL>>0(gb+1/ZL=gb) 。

how to calculate it by hand?
Thank you in advance!
 

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