I am trying to get to the simplified form of the equation of the differential output voltage of a differential pair:
I know the correct equation is:
*Image above from Franco, S. Analog Circuit Design. Please let me know if it is not proper to show this excerpt here.
I am stuck with simple algebra, really. I want to get the equation 4.73. Here is what I did:
Notation: In the book, VoD. In my text, Vodif In the book, ViD. ViD is the complete differential input voltage, vid =vi1 - vi2. In my text, I named it Vdif.
Also I've just considered αf = 1, so it is not explicit in my equations. Considering Ree too large and just ignored.
I am stuck at this point for a while now. This is not homework or alike. Just reviewing some basic concepts.