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OTA criterion in current mode buck converter question

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pianomania

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In current mode DC-DC converter, there is a OTA , that is gm , which connects a resistor with a Cap for compensation. All we know this combination is compensation for system stability.
But what is the spec for this OTA ?
Does this OTA need to follow AC stability criterion ? That is the phase margin should be large than 45 degree ? what Is its AC gain spec?
 

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