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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.


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.


Knowledge and Nostalgia: 2025’s Top Educational Articles

Knowledge and Nostalgia: 2025’s Top Educational Articles

Ring in the new year with this roundup of All About Circuits' most popular educational content, both technical and historical.


News Dec 31, 2025 by Abby Garfinkle
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.


MAX232: The Single-Supply Transceiver That Shrunk RS-232 to One Chip

MAX232: The Single-Supply Transceiver That Shrunk RS-232 to One Chip

Introduced in the late 1980s, Maxim’s MAX232 made RS-232 interfaces trivial with dual drivers, dual receivers, and their +/-10 V rails—all from a single +5 V supply.


News Dec 19, 2025 by Luke James
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.


Nordic Semi Unveils Bluetooth LE SoC for Next Gen Healthcare Wearables

Nordic Semi Unveils Bluetooth LE SoC for Next Gen Healthcare Wearables

The new low-power BLE SoC targets medical designs such as wearable biosensors and glucose monitors.


News Dec 05, 2025 by Duane Benson
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.


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.


Foundations for PLL Nonlinear Analysis: Modeling the Phase Detector and VCO

Foundations for PLL Nonlinear Analysis: Modeling the Phase Detector and VCO

The phase-locked loop (PLL) is widely used in contemporary analog and digital communication systems. In this article, we develop a nonlinear model for the analog PLL by analyzing its key components.


Building High-Performance Automotive Ethernet Networks with Microchip LAN938x Switches | Tech Guide

Building High-Performance Automotive Ethernet Networks with Microchip LAN938x Switches | Tech Guide

In this Tech Guide from Mouser Electronics, explore how Microchip’s LAN938x 100BASE-T1 Gigabit Ethernet Switches enable secure, low-latency automotive networks with Layer 2+ switching, AVB/TSN support, and energy-efficient performance. Watch now to get started!


FM Demodulation Using a Phase-Locked Loop

FM Demodulation Using a Phase-Locked Loop

PLL demodulators are popular, easy to implement, and offer superior noise performance compared to many other FM demodulator circuits. Learn how they operate in this article.


Basic Principles and Implementation of the Quadrature FM Demodulator

Basic Principles and Implementation of the Quadrature FM Demodulator

Learn how an analog multiplier or AND gate can function as a quadrature detector for FM demodulation.


FM-to-AM Conversion Using the Foster-Seeley Discriminator

FM-to-AM Conversion Using the Foster-Seeley Discriminator

Learn how the Foster-Seeley discriminator, a classic analog circuit for FM demodulation, achieves its superior linearity.


Understanding Slope Detectors for FM Demodulation

Understanding Slope Detectors for FM Demodulation

In this article, we'll analyze the single-tuned discriminator for FM-to-AM conversion. We'll then discuss the balanced discriminator and how it provides improved linearity across a wider bandwidth.


Introduction to Frequency Discriminators for FM Demodulation

Introduction to Frequency Discriminators for FM Demodulation

In this article, we will examine the basic principles of FM demodulation through the simplest frequency discriminator: a differentiator.


FM Generation Techniques: Solved Examples

FM Generation Techniques: Solved Examples

In this article, we'll solidify our understanding of the reactance modulator and Armstrong modulator circuits by working through a series of design problems.