Difference between gain crossover frequency and phase crossover freq

1.	Difference between gain crossover frequency and phase crossover frequency ?
Answer» Gain Crossover Frequency: Gain crossover frequency is that frequency at which, [G(jω)], the magnitude of the open loop transfer function is unity. The Phase margin PM is 180° plus the phase angle φ of the open loop transfer function at the gain crossover frequency. PM = (180°(+φ)at GCF) Phase Crossover Frequency: Phase crossover frequency is that frequency at which, ∠G(jω), the phase angle of the open loop transfer function equals ‐180°. Thus, Gain Margin, GM = (1/jG(jω))_{at PCF} In terms of decibels, GM dB = 20 logIG(jω))_{at PCF}

Difference between gain crossover frequency and phase crossover frequency ?

Answer»

Gain Crossover Frequency:

Gain crossover frequency is that frequency at which, [G(jω)], the magnitude of the open loop transfer function is unity.

The Phase margin PM is 180° plus the phase angle φ of the open loop transfer function at the gain crossover frequency.

PM = (180°(+φ)at GCF)

Phase Crossover Frequency:

Phase crossover frequency is that frequency at which, ∠G(jω), the phase angle of the open loop transfer function equals ‐180°.

Thus, Gain Margin,

GM = (1/jG(jω))_{at PCF}

In terms of decibels,

GM dB = 20 logIG(jω))_{at PCF}

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