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Build Your Own Clock With Analog Dials, Part 3

Build Your Own Clock With Analog Dials, Part 3

To complete this project, we add backlight control and temperature-sensing functionality to the clock we built in the previous installments.


Diode-Based Phase Detectors: Key Principles and Example Circuits

Diode-Based Phase Detectors: Key Principles and Example Circuits

We examine phase detectors that leverage either the nonlinear characteristics or switching capabilities of diodes to perform multiplication.


Build Your Own Clock With Analog Dials, Part 2

Build Your Own Clock With Analog Dials, Part 2

We continue our design of a clock that uses analog ammeters to display time and temperature. In this installment, we examine the second of the two circuits that enable the timekeeping function.


Using Gilbert Multipliers as Phase Detectors in PLLs

Using Gilbert Multipliers as Phase Detectors in PLLs

This article explores the operation of the Gilbert-cell phase detector for both small and large signals.


Build Your Own Clock With Analog Dials, Part 1

Build Your Own Clock With Analog Dials, Part 1

This project turns old-school analog ammeters into a working clock that can also display the ambient temperature.


Three Ways to Accelerate Cell Layout in DTCO

Three Ways to Accelerate Cell Layout in DTCO

The device technology co-optimization (DTCO) methodology requires generating large numbers of layouts. This article introduces a few ways of speeding up this time-consuming process using automation.


Introduction to the Gilbert Multiplier

Introduction to the Gilbert Multiplier

This article explores the Gilbert cell, a widely used analog multiplier circuit.


Second-Order Type-2 PLLs: Bode Diagrams, Bandwidth, and Overshoot

Second-Order Type-2 PLLs: Bode Diagrams, Bandwidth, and Overshoot

Learn how to select the zero frequency, damping factor, and loop bandwidth for one of the most popular PLL configurations.


Introduction to Second-Order Type-2 PLLs

Introduction to Second-Order Type-2 PLLs

This article explains how Type-2 PLLs with an integrator loop filter outperform Type-1 systems. To do so, we'll examine the PLL behavior for frequency step and frequency ramp inputs.


Understanding the Time-Domain Response of PLLs With Lag-Lead Filters

Understanding the Time-Domain Response of PLLs With Lag-Lead Filters

In this article, we examine how adding a zero to the PLL loop filter affects the transient behavior and steady-state errors.


Understanding the PDK Generation Process

Understanding the PDK Generation Process

In this article, we'll walk through the steps of generating a Process Design Kit (PDK) for digital standard cell libraries.


Exploring the Bode Plots of PLLs With a Lag-Lead Loop Filter

Exploring the Bode Plots of PLLs With a Lag-Lead Loop Filter

In this article, we derive design equations for a second-order PLL with a lag-lead filter by examining its Bode plots.


Introducing the Lag-Lead Filter

Introducing the Lag-Lead Filter

Learn how using a pole-zero loop filter improves PLL performance and design flexibility over the simpler lag filter.


Analyzing the Lag Filter’s Effect on PLL Performance

Analyzing the Lag Filter’s Effect on PLL Performance

In this article, we evaluate the designs of two simple frequency synthesizers to learn how a second-order PLL with a lag filter can provide a faster rise time than a first-order PLL.


Understanding the Limitations of the Second-Order Type-1 PLL With a Lag Filter

Understanding the Limitations of the Second-Order Type-1 PLL With a Lag Filter

In this article, we analyze the steady-state errors and Bode plots for a second-order PLL with a simple, first-order loop filter.


Introduction to Second-Order Type-1 PLLs

Introduction to Second-Order Type-1 PLLs

Learn how adding a lowpass loop filter to a PLL with a single integrator impacts both the frequency-domain and time-domain response.


Understanding the Limitations of the First-Order PLL

Understanding the Limitations of the First-Order PLL

Higher-order PLLs are more commonly used than first-order PLLs. To explain why, we explore the first-order PLL's behavior in response to two inputs: a frequency step and frequency ramp.


Analyzing First-Order PLLs Using Linear Models

Analyzing First-Order PLLs Using Linear Models

In this article, we'll use the linearized model of a first-order PLL to understand its response to a simple input change. We'll then use Matlab simulations to visualize the signals.


Building a Push-Pull Level Shifter to Connect an MCU and a Low-Voltage Display

Building a Push-Pull Level Shifter to Connect an MCU and a Low-Voltage Display

In this project, we'll build and demonstrate a discrete analog solution to the incompatible logic levels of an Arduino Uno and an Elecrow e-paper HMI display.


Projects Nov 23, 2025 by Don Wilcher
Analyzing a First-Order PLL in Acquisition Mode With a Nonlinear Model

Analyzing a First-Order PLL in Acquisition Mode With a Nonlinear Model

In this article, we'll use a nonlinear mathematical model to improve our understanding of how a first-order PLL locks to a signal.