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Course Overview
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| This course is aimed at engineers with some background in Electrical Engineering, who wish to know more about analog CMOS design. Some familiarity with SPICE simulations and basic knowledge about feedback theory is assumed. The course will use the ubiquitous OpAmp as a design vehicle, to give some focus on the design, starts with an explanation of the MOS transistor and ends with Folded-Cascode and 2-Stage amplifiers. It deals with all aspects of analog design, including amplifier architectures, noise, distortion, frequency behavior & stability and settling behavior. Each lecture day includes homeworks that are subsequently discussed on the following day. |
Types of Analysis
DC-analysis, AC-analysis, the importance of bias-points, Transient-analysis and FFTs. SPICE simulation parameters and the importance of maxstep. |
The OpAmp
What is an OpAmp? How do you use an OpAmp? The effect of Feedback. OpAmp versus OTA. Models for OpAmps/OTAs. Time-domain behavior and stability. Nyquist diagram and stability margins. Opening the loop. Feedback and asymptotes. Conditional stability. Signal integrity, Noise, Distortion, Dynamic Range, SNR, SDR and SNDR. |
The MOS-Transistor
Principle of Operation. Regions of Operation. Calculation of the MOS-current. Local Channel-Conductivity. Graphical MOS-models.A more accurate approach. Weak-Inversion. Equivalent visual model based on water. Second order effects. |
How to make Gain?
Introduction of the Common-Source amplifier. Detailed description of how gain comes about. DC, AC and Transient behavior. Device optimization for Settling Behavior. Main limitations of the Common-Source stage in terms of frequency behavior and Gain. Introduction of the Process-Line. |
How to make more Gain?
Introduction of the Cascode-Stage. Effects on DC, AC and Transient behavior. Limitations of the Cascode Stage. Device Transit-Frequency Ft. Cascode Process-Line. Mobility Reduction. Velocity Saturation. |
How to make even more Gain?
Gain-Boosting introduction. Repetitive Gain-Boosting. Effect on Process-Line. High-Frequency Behavior. |
Optimizing Setlling Behavior
Gain-Boosting Settling Behavior. Doublets. How to Judge Settling Behavior. Optimizing Gain-Boosting Settling Behavior. |
Judging Setlling Behavior
Why is it not straightforward to judge settling behavior? Introduction of the Settling Plot. What can we learn from the Settling Plot? |
Noise
Introduction to Noise in Circuits. Probability. Standard Deviation. Spectrum. Basic properties. kT/C-noise. MOSFET-noise. 1/f-noise. Knee-frequency and Ft. How to calculate noise of a circuit? Noise Integration and Signal to Noise Ratio (SNR). |
| Noise in Circuit DesignNoise of Common-Source Amplifier. Noise and Layout. Noise optimization. Noise Power Excess. Noise of the Cascode Transistor. |
Distortion
Slightly nonlinear systems. How to calculate distortion? Symmetrical systems. Distortion and Feedback. Distortion of the Reciprocal Relation. Distortion and Feedback again. Example with Numbers. |
Basic Sub-Circuits
CS-stage (Gain-Stage), CG-stage (Cascode), CD-stage (Source-Follower). Differential Pair. Current Sources. Biasing & Current Mirrors. Voltage Mode Biasing. Current-Mode Biasing. Constant gm-biasing. Biasing in Simulation. Replica Biasing. |
OpAmp Architectures & Design
Simple OpAmp Architectures. Folded-Cascode OpAmp. Fully Differential Architectures. More Advanced Differential Architectures. How to Design Single-Stage OpAmps? Noise. Slew-Rate & Distortion. Biasing. |
2-Stage OpAmps
Need for Compensation. Ideal Compensation Impedance. Miller-Compensation. Pole-Splitting. Transfer-Function and Tiem-Constants. Increasing Cload and Stability. Nulling Resistor. When do you actually use a 2-stage Miller-compensated OpAmp? |
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