vivkr
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Hi,
You probably should not be posting a paper which you have not written so publicly. However, to answer your question, there are 2 loops here, one formed by the main amplifier and the other by the gain boosting amplifier. Both have their nondominant pole at W6, but have their dominant poles at W3 and W4 respectively. Hence, W6 > W3 & W6 > W4 follow automatically.
As for W3 < W4, if the gain boosting amplifier has its dominant pole below the main amplifier, then you will have no useful gain boosting, especially in case you are using it in a switched-capacitor amplifier. You will actually have a slow settling component due to the pole-zero doublet formed at the lower of the 2 frequencies (W3 or W4).
I am surprised that you should ask this question, because the paper happens to be one of the best written ones with a great deal of explanation about this very point.
Anyway, I hope that answers your question.
Regards Vivek
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