Herman - Actually, re prime changes with emitter current which changes the gain which poses big distortion problems - moreso than temperature. You are correct: the swamping resistor stops this negative effect.
However, the little detail I should have made much clearer in my last attempt is this (and is true for most CE amps): A portion of the big emitter resistor is inserted between it and the transistor which I will call for more clarity, the little swamping resistor. Therefore, in a good design, there are actually 2 emitter resistors. The bypass caps are tied in between these 2 and NOT between them and re prime (otherwise, as you said, the instability in Av is back). The reason this is done is so that both swamping resistors still accomodate good DC stability AND the little emitter resistance still gives you good AC gain (since it is smaller) and AC stability.
Therefore, the bypass cap acts mostly to improve the gain which is desirable in BJTs to avoid low-signal transconductance nonlinearities - which is very beneficial of course. I suppose your book did not go into this more practical CE circuit. As with anything, a benefit comes at a price. In this case, good stabiltiy hurts the gain. Two emmitter resistances allow circuit optimization between the two (by means of the bypass cap). Moral of the story: if used correctly, bypass caps are VERY beneficial. Email me if you want to chat more about this but, otherwise, I rest my case ;). Arthur
However, the little detail I should have made much clearer in my last attempt is this (and is true for most CE amps): A portion of the big emitter resistor is inserted between it and the transistor which I will call for more clarity, the little swamping resistor. Therefore, in a good design, there are actually 2 emitter resistors. The bypass caps are tied in between these 2 and NOT between them and re prime (otherwise, as you said, the instability in Av is back). The reason this is done is so that both swamping resistors still accomodate good DC stability AND the little emitter resistance still gives you good AC gain (since it is smaller) and AC stability.
Therefore, the bypass cap acts mostly to improve the gain which is desirable in BJTs to avoid low-signal transconductance nonlinearities - which is very beneficial of course. I suppose your book did not go into this more practical CE circuit. As with anything, a benefit comes at a price. In this case, good stabiltiy hurts the gain. Two emmitter resistances allow circuit optimization between the two (by means of the bypass cap). Moral of the story: if used correctly, bypass caps are VERY beneficial. Email me if you want to chat more about this but, otherwise, I rest my case ;). Arthur