differntial input to single ended output, two stage op-amp

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ECE 522 Project – Differential Input to Single Ended two Stage OP-AMP by Karthikvel Rathinavel Chien-Chun, Yao In partial fulfillment of the requirements for the course of CMOS Integrated Circuits I Department of Electrical Engineering and Computer Science Oregon State University Corvallis December, 2015

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ECE 522 Project – Differential Input to Single Ended two Stage OP-AMP

by

Karthikvel Rathinavel Chien-Chun, Yao

In partial fulfillment of the requirements for the course of CMOS Integrated Circuits I

Department of Electrical Engineering and Computer Science Oregon State University

Corvallis December, 2015

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Design Approach: Our design approach was to use a two stage op-amp topology and the initial challenge was to bring all the transistors into saturation for a common mode voltage of 0 V, such that the required DC gain was achieved. Once all the transistors were brought to saturation, the phase margin and unity gain frequency specifications were to be matched. For this, we had to use a high compensation capacitor ( ) so that the dominant pole moved in and the other pole moved farther away. But as a result the zero moved in and which not only caused a 90 phase drop but also flattened the gain. According to the equation , is proportional to 1/ . By carefully selecting a combination of pole splitting compensation capacitor and a nulling resistor we were able to successfully balance the tradeoff between the unity gain frequency and phase margin.

Figure 1: Schematic of differential operational amplifier with single ended output

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Simulated Results:

Figure 2: Test bench Setup

Parameters Required Specifications Simulated Specifications Load Capacitor 5 pF 5 pF Power Supply 0.9 , 0.9 0.9 , 0.9

Open Loop Gain >= 60 dB 67.97 dB Phase Margin >= 60° 75.3°

PUnity Gain Frequency >= 15 MHz 15.29 MHz Table 1: Simulated Specifications vs Required Specifications

Gain and Phase Margin: We applied and increased the value of so that higher unity gain frequency could be obtained. However, by increasing we pushed the zero to lower frequency which decreased the phase margin. Therefore, a nulling resistor, is introduced to eliminate the effect of the zero. Initially, the value of is kept close to 1/ and the value of is set to 10pF. By introducing and , we got a better phase margin and unity gain frequency. However, the initial requirement for PM and unity gain frequency is not met. Therefore, we increase to push zero further away.

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Figure 3: Gain & Phase vs Frequency

Input Common Mode and Output Swing Range: For finding the minimum and maximum common mode voltage, we swept the input (common mode) voltage and saw the points where any one of the transistors enters saturation. As it can be seen in figure 4, the minimum common mode input = - 0.852 V and the maximum common mode input voltage = 0.181 V

. max 0.181V . min -0.852V

max 0.757V min -0.771V

Table 2: Simulated , range and swing

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Figure 4: Input common mode range

Figure 5: Output Voltage Swing