ENEE 303 5th Discussion.

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Presentation transcript:

ENEE 303 5th Discussion

Contents OTA (Operational Trans-conductance Amplifier) Differential Amplifier Circuits

OTA & Y matrix 𝒊𝟏 𝒊𝟐 = 𝟎 𝟎 𝒈𝒎 𝟎 𝒗𝟏 𝒗𝟐 OTA: Output input relationship. Y matrix. Thevenin Equivalent Circuit: Voc, Isc, Zth

Thevenin’s Equivalent Circuit Any network with two open terminals can be replaced by a single voltage source (VTH) and a series resistance (ZTH) connected to the open terminals. How to find VTH ?: Voc How to find ZTH ?: Voc/Isc Voc, Isc, Zth

Thevenin’s Equivalent Circuit Voc, Isc, Zth

Example: OTA & Thevenin

Example: OTA & Thevenin

Differential Pair: MOSFET I in terms of (vb1-vb2)

Small-Signal Operation of the MOS Differential Pair Neglect channel modulation Because of symmetry, the common source connection acts as virtual ground

Differential Pair: BJT I in terms of (vb1-vb2)

Large-Signal Operation of the BJT Differential-Pair The collector currents are, The emitter currents are,

Small-Signal Analysis of the BJT Differential-Pair The differential gain is then, 𝒊 𝑪𝟏 ≅ 𝜶𝑰 𝟐 + 𝜶𝑰 𝟐 𝑽 𝑻 𝒗 𝒊𝒅 𝟐 = 𝜶𝑰 𝟐 + 𝒈 𝒎 𝒗 𝒊𝒅 𝟐 𝒊 𝑪𝟐 ≅ 𝜶𝑰 𝟐 − 𝜶𝑰 𝟐 𝑽 𝑻 𝒗 𝒊𝒅 𝟐 = 𝜶𝑰 𝟐 − 𝒈 𝒎 𝒗 𝒊𝒅 𝟐

Example: Differential Pair I in terms of (vb1-vb2)

Example: Differential Pair I in terms of (vb1-vb2)