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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.


YAGEO CE X5R Multilayer Ceramic Capacitors | New Product Brief

YAGEO CE X5R Multilayer Ceramic Capacitors | New Product Brief

YAGEO CE X5R Multilayer Ceramic Capacitors deliver high-density capacitance in a compact, embedded form factor tailored for advanced module integration. Watch and learn all about their features, specs, applications, and more!


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.


Armstrong’s Method of FM Generation

Armstrong’s Method of FM Generation

This article explores the concept of indirect FM generation and the basic operation of the Armstrong modulator.


Understanding Varactor and PLL-Based FM Generation Using Crystal Oscillators

Understanding Varactor and PLL-Based FM Generation Using Crystal Oscillators

In this article, we examine two different methods of producing wideband FM signals. Both use crystal oscillators to provide improved frequency stability.


Improving the Frequency Deviation and Stability of a Direct FM Generator

Improving the Frequency Deviation and Stability of a Direct FM Generator

In this article, we explore the limitations of LC oscillators for direct FM generation and how to deal with them using multipliers and automatic frequency control (AFC) circuits.


Using Varactor Diodes for FM Signal Generation

Using Varactor Diodes for FM Signal Generation

Learn how a varactor diode's variable capacitance, together with an LC tank circuit, can drive a voltage-controlled oscillator (VCO) to create FM waveforms.


An FM Generator Circuit Using the Capacitance of a Collector-Base Junction

An FM Generator Circuit Using the Capacitance of a Collector-Base Junction

In this article, we examine a reactance modulator design that employs the variable capacitance of a bipolar junction transistor to modulate the output of a Colpitts oscillator.


Introduction to Reactance Modulators for Generating FM Signals

Introduction to Reactance Modulators for Generating FM Signals

In this article, we'll introduce the fundamental concepts of direct FM generation and examine a key FM modulation circuit: the reactance modulator.


Estimating FM Bandwidth: Solved Examples

Estimating FM Bandwidth: Solved Examples

In this article, we'll illustrate the usefulness of Carson's rule for bandwidth estimation by working through a series of example problems.


Exploring the Relationship Between FM Wave Bandwidth and the Modulation Index

Exploring the Relationship Between FM Wave Bandwidth and the Modulation Index

In this article, we'll investigate how varying the amplitude and frequency of the modulating tone impacts the bandwidth of FM signals. We'll also compare the modulation index in AM and FM schemes.


Three Methods for Estimating the Transmission Bandwidth of FM Signals

Three Methods for Estimating the Transmission Bandwidth of FM Signals

Along with introducing Carson's rule for bandwidth estimation, this article explains how to calculate the required transmission bandwidth based on either the sidebands or the total power of the signal.


Exploring Bessel Functions: Understanding the Spectrum of Tone-Modulated FM

Exploring Bessel Functions: Understanding the Spectrum of Tone-Modulated FM

In this article, we’ll learn about the essential properties of Bessel functions and what they can tell us about the bandwidth of practical FM signals.


Introduction to Wideband FM Signals

Introduction to Wideband FM Signals

Learn how Bessel functions and the modulation index can help us understand the bandwidth of wideband frequency-modulated (FM) signals.