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Available power gain circles

Recall available power gain equation
equation1301

 eqnarray1307
(166) can be rearranged as an equation of circle on text_wrap_inline2883 plane
equation1318

For each value of text_wrap_inline3283, we have a corresponding text_wrap_inline2985 circle with
equation1330

equation1336

Note that the centers of text_wrap_inline2985 circles are always on the line drawn between text_wrap_inline3289 and the origin of the text_wrap_inline2885 plane. The radius of text_wrap_inline2985 circle is getting smaller for a larger text_wrap_inline3283. In case of an unconditionally stable device, when text_wrap_inline3297, text_wrap_inline3283 reaches its maximum, i.e., text_wrap_inline3301.

In case of a potentially unstable device, when text_wrap_inline3303, i.e., text_wrap_inline3305 , the text_wrap_inline2985 circle equals to output stability circle.
equation1350

equation1355