Multi-stage BJT Op-Amp Design

Design and simulation of a multi-stage BJT operational amplifier with gain, bandwidth, and stability optimization

Overview

This project involves the design and simulation of a multi-stage BJT (Bipolar Junction Transistor) operational amplifier with specific performance targets for gain, bandwidth, and phase margin. The design process covers DC bias point analysis, small-signal modeling, frequency response optimization, and stability analysis.

Design Specifications

Parameter Target
Open-loop Gain > 80 dB
Unity-gain Bandwidth > 1 MHz
Phase Margin > 60°
Slew Rate > 1 V/us
Power Supply +/-15 V

Circuit Architecture

The op-amp consists of three main stages:

  1. Differential Input Stage: Long-tailed pair with active current mirror load for high CMRR
  2. Voltage Gain Stage: Common-emitter amplifier with active load for high voltage gain
  3. Output Stage: Class-AB push-pull output for low output impedance and high current drive

Analysis Methods

  • DC Operating Point Analysis: Ensuring all transistors operate in the active region
  • Small-Signal AC Analysis: Bode plot for gain and phase response
  • Transient Analysis: Step response and slew rate measurement
  • Monte Carlo Simulation: Process variation sensitivity analysis

Key Results

The design achieves the target specifications. Frequency compensation using Miller capacitance ensures dominant-pole behavior for stable closed-loop operation.

\[A_v = g_{m1} \cdot g_{m2} \cdot R_{out}\]

where \(g_m\) is the transconductance of each stage.

Tools Used

  • SPICE Simulation (LTspice / Cadence Virtuoso)
  • MATLAB for frequency response plotting and analysis