VLSI Design Lab | Lab Module 2: CMOS Inverter Design and Static Characteristics Analysis by Prakhar Chauhan | Learn Smarter
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Lab Module 2: CMOS Inverter Design and Static Characteristics Analysis

This lab module focuses on the design and simulation of the CMOS inverter, a fundamental component in digital logic circuits. It emphasizes understanding the static characteristics of the inverter, specifically analyzing the Voltage Transfer Characteristics (VTC) and calculating noise margins related to varying transistor Width-to-Length ratios. The hands-on procedure involves using circuit simulation tools to capture the inverter schematic, conduct simulations, and interpret results to optimize performance characteristics like Vth and noise margins.

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Sections

  • 1

    Aim

    The lab aims to design and analyze a CMOS inverter, focusing on its static characteristics through simulation.

  • 2

    Theory

    This section introduces the CMOS inverter's design, highlighting its structure, operational principles, and the significance of static characteristics such as Voltage Transfer Characteristics (VTC) and noise margins.

  • 2.1

    Cmos Inverter Configuration

    This section covers the design and operational principles of CMOS inverters, focusing on their static characteristics and the significance of parameters like Voltage Transfer Characteristic (VTC) and noise margins.

  • 2.2

    Nmos Transistor

    The nMOS transistor is a critical component of the CMOS inverter, playing a vital role in digital logic circuits by facilitating the pull-down function.

  • 2.3

    Pmos Transistor

    The pMOS transistor plays a critical role as the complementary component in CMOS technology, enabling dynamic control of digital circuits.

  • 2.4

    Voltage Transfer Characteristic (Vtc)

    This section covers the Voltage Transfer Characteristic (VTC) of the CMOS inverter, highlighting its significance in static behavior analysis and critical parameters like VOH, VOL, VIL, VIH, and noise margins.

  • 2.5

    Noise Margins

    Noise margins are critical to understanding the robustness of CMOS inverters, quantifying their ability to tolerate noise without misinterpreting logic levels.

  • 2.6

    Impact Of W/l Ratio

    The Width-to-Length (W/L) ratio of a MOSFET significantly influences its performance in CMOS inverters, affecting characteristics such as the Voltage Transfer Characteristic (VTC) and noise margins.

  • 3

    Pre-Lab Questions

    This section includes essential pre-lab questions that students must answer to prepare for the CMOS inverter design lab.

  • 3.1

    Circuit Schematic

    This section focuses on the design and analysis of a CMOS inverter, detailing its operating principles, critical parameters, and the impacts of transistor sizing.

  • 3.2

    Bulk Terminal Connection

    This section discusses the importance of bulk terminal connections in CMOS inverter design.

  • 3.3

    Significance Of Vtc

    The section covers the critical role of the Voltage Transfer Characteristic (VTC) in analyzing CMOS inverters, highlighting key parameters and their implications for circuit robustness.

  • 3.4

    Defining Vil, Vih, Voh, And Vol

    This section defines crucial parameters in the analysis of a CMOS inverter's Voltage Transfer Characteristic (VTC), focusing on VIL, VIH, VOH, and VOL.

  • 3.5

    Formulas For Nml And Nmh

    This section covers the formulas for calculating noise margins NML and NMH in a CMOS inverter, highlighting their significance in reliability and robustness.

  • 3.6

    W/l Ratio Significance

    The W/L ratio affects the static characteristics of CMOS inverters, impacting parameters like Voltage Transfer Characteristic (VTC) and noise margins.

  • 3.7

    Effect Of Nmos Strength

    This section discusses the role of Width-to-Length (W/L) ratios of nMOS transistors in CMOS inverters, emphasizing their impact on the Voltage Transfer Characteristic (VTC) and noise margins.

  • 4

    Procedure

    This section outlines the step-by-step procedure for designing and analyzing a CMOS inverter using circuit simulation software.

  • 4.1

    Part A: Basic Cmos Inverter - Schematic Capture And Initial Vtc Analysis

    This section focuses on the design and simulation of the basic CMOS inverter, covering its static characteristics and Voltage Transfer Characteristic (VTC) analysis.

  • 4.2

    Part B: Impact Of W/l Ratio On Vtc And Noise Margins

    This section details procedures for analyzing the impact of transistor Width-to-Length (W/L) ratios on CMOS inverter static characteristics, including VTC shifts and noise margins. ## Medium Summary This section outlines experimental steps to investigate how varying the W/L ratio of nMOS and pMOS transistors affects the CMOS inverter's Voltage Transfer Characteristic (VTC) and noise margins. It involves systematically changing the width of one transistor while keeping the other constant, re-running DC sweep simulations, and extracting VTC parameters (VOH, VOL, VIL, VIH, Vth) and noise margins (NML, NMH) for each case. The goal is to understand the trade-offs in achieving a symmetrical VTC and balanced noise margins. ## Detailed Summary ### Detailed Summary This section, "Part B: Impact of W/L Ratio on VTC and Noise Margins," is a critical component of the laboratory module, guiding students to empirically understand the direct relationship between a CMOS transistor's physical dimensions and the electrical performance of an inverter. #### Key Components of the Procedure: - **Varying nMOSFET W/L**: Students begin by systematically changing the width of the nMOSFET while keeping the pMOSFET's W/L ratio constant. For each varied nMOSFET width, the DC sweep simulation (as performed in Part A) is repeated. * This involves setting up the simulation for multiple nMOS width values (e.g., 0.5 µm for weaker nMOS, 1.5 µm for stronger nMOS). * For each case, the VTC is plotted, and all key VTC parameters ($V\_{OH}, V\_{OL}, V\_{IL}, V\_{IH}, V\_{th}$) are extracted. * Noise margins ($NML, NMH$) are then calculated based on these extracted parameters. * All results are carefully recorded. - **Varying pMOSFET W/L**: Following the nMOS variations, the procedure is repeated for the pMOSFET. The nMOSFET's W/L is reset to its initial value, and the pMOSFET's width is systematically changed (e.g., 1 µm for weaker pMOS, 3 µm for stronger pMOS). * Again, for each pMOSFET width variation, DC sweep simulations are run, VTC parameters are extracted, and noise margins are calculated and recorded. - **Optimal Sizing (Optional/Advanced)**: This advanced step challenges students to iterate and find an "optimal" (W/L)pMOS / (W/L)nMOS ratio. The objective here is to achieve a $V\_{th}$ that is close to $V\_{DD}/2$ and ensures balanced noise margins, signifying a well-designed, robust inverter. - Throughout these tasks, meticulous recording of all measurements and calculated values in a clear, organized table, along with screenshots of key VTC plots showing parameter extraction points, is emphasized for comprehensive analysis and reporting.

  • 4.3

    Optimal Sizing (Optional/advanced)

    This section covers the principles of optimal transistor sizing in CMOS inverters to achieve desired Voltage Transfer Characteristics (VTC) and balanced noise margins.

  • 5

    Observation/results

    In this section, students record and analyze measurements and results from their CMOS inverter simulations, focusing on key parameters and their relationships.

  • 6

    Analysis And Discussion

    This section presents a comprehensive analysis of the CMOS inverter's behavior, focusing on the effects of W/L ratio variations on its Voltage Transfer Characteristic (VTC) and noise margins.

  • 6.1

    Initial Inverter Performance

    This section focuses on the static characteristics of the CMOS inverter, including its design, simulation, Voltage Transfer Characteristic (VTC), noise margins, and the effects of W/L ratios on performance.

  • 6.2

    Impact Of Nmosfet W/l Variation

    This section examines the influence of varying the Width-to-Length (W/L) ratios of nMOSFETs on the characteristics of CMOS inverters, notably on Voltage Transfer Characteristics (VTC) and noise margins.

  • 6.3

    Impact Of Pmosfet W/l Variation

    This section explores how variations in the Width-to-Length (W/L) ratio of pMOSFETs affect the voltage transfer characteristics and noise margins of a CMOS inverter.

  • 6.4

    Achieving Symmetrical Vtc And Balanced Noise Margins

    This section discusses the importance of achieving a symmetrical Voltage Transfer Characteristic (VTC) and balanced noise margins in CMOS inverters to ensure robust circuit design.

  • 6.5

    Sources Of Non-Ideality

    This section discusses the non-ideal behaviors observed in CMOS inverters that affect their Voltage Transfer Characteristics (VTC) and overall performance.

  • 7

    Post-Lab Questions

    This section includes questions designed to reinforce understanding of the CMOS inverter's characteristics and behavior.

Class Notes

Memorization

What we have learnt

  • The CMOS inverter consists ...
  • Understanding the Voltage T...
  • The Width-to-Length (W/L) r...

Final Test

Revision Tests