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Differential Amplifiers Why differential? • Well suited for integrated circuit (IC) fabrication • Less sensitive to noise • Possibility to couple amplifier stages without capacitors Figure 7.1 The basic MOS differential-pair configuration. 1 Operation with a Common-Mode Input Voltage Figure 7.2 The MOS differential pair with a common-mode input voltage vCM. 2 Operation with a Differential Input Voltage Figure 7.4 The MOS differential pair with a differential input signal vid applied. With vid positive: vGS1 > vGS2, iD1 > iD2, and vD1 < vD2; thus (vD2 - vD1) will be positive. With vid negative: vGS1 < vGS2, iD1 < iD2, and vD1 > vD2; thus (vD2 - vD1) will be negative. 3 Large-Signal Operation 1 W iD = k n (VGS - Vt )2 2 L Figure 7.5 The MOSFET differential pair for the purpose of deriving the transfer characteristics, iD1 and iD2 versus vid = vG1 – vG2. 4 Figure 7.6 Normalized plots of the currents in a MOSFET differential pair. Note that VOV is the overdrive voltage at which Q1 and Q2 operate when conducting drain currents equal to I/2. 5 Figure 7.7 The linear range of operation of the MOS differential pair can be extended by operating the transistor at a higher value of VOV. 6 Small-Signal Operation of The MOS Differential Pair Differential Gain Figure 7.8 Small-signal analysis of the MOS differential amplifier: (a) The circuit with a common-mode voltage applied to set the dc bias voltage at the gates and with vid applied in a complementary (or balanced) manner. (b) The circuit prepared for small-signal analysis. 7 Common-Mode Gain and Common-Mode Rejection Ratio Figure 7.10 (a) The MOS differential amplifier with a common-mode input signal vicm. (b) Equivalent circuit for determining the common-mode gain (with ro ignored). Each half of the circuit is known as the “common-mode half-circuit.” 8 The BJT Differential Pair Figure 7.12 The basic BJT differential-pair configuration. 9 Figure 7.14 Transfer characteristics of the BJT differential pair of Fig. 7.12 assuming a . 1. 10