**9.126 The MOS differential amplifier shown in Fig. P9.126 utilizes three current mirrors for…

**9.126 The MOS differential amplifier shown in Fig. P9.126 utilizes three current mirrors for signal transmission: Q4:

−Q6:

has a transmission factor of 2 [i.e., (W/L)6/(W/L)4 = 2], Q3:

−Q5:

has a transmission factor of 1, and Q7:

−Q8:

has a  transmission factor of 2. All transistors are sized to operate at the same overdrive vo tage, /VOV /  . All transistors  ave the same Early voltage / VA /

(a) Provide in tabular form the values of ID, gm, and ro of each of the eight transistors in terms of I, VOV , and VA.

(b) Show that the differential voltage gain Ad is given by

.

where RSS is the output resistance of the bias current source I. [Hint: Replace each of Q1:

and Q2:

together with their source resistance 2RSS with a controlled current-source vicm/2RSS and an output resistance. For each current mirror, the current transfer ratio is given by

where gm and ro are the parameters of the input transistor of the mirror. (see Problem 9.125 above.)] (d) If the current source I is implemented using a simple mirror and the MOS transistor is operated at the same

 

(e) Find the input CM range and the output linear range in terms of VDD, / Vt / and / VOV /

 

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