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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.


Practical Insights Into Narrowband FM With a Single-Frequency Input

Practical Insights Into Narrowband FM With a Single-Frequency Input

In this article, we’ll use phasor diagrams to compare narrowband FM and conventional AM. We’ll also discuss the problem of oscillator phase noise and work through an example problem.


Introduction to Narrowband Angle Modulation

Introduction to Narrowband Angle Modulation

Using a simple example, this article examines the frequency spectra of frequency-modulated (FM) and phase-modulated (PM) waves for a low modulation index.


Understanding the Differences Between Phase and Frequency Modulation

Understanding the Differences Between Phase and Frequency Modulation

Learn why phase modulation (PM) and frequency modulation (FM) can produce waveforms that are nearly identical or completely different from one another, depending on the nature of the message signal.


A Guide to Calculating IM3 and IP3 for Nonlinear RF Circuits

A Guide to Calculating IM3 and IP3 for Nonlinear RF Circuits

Learn to confidently determine intermodulation distortion products and the third-order intercept point of RF circuits by working through a selection of example problems.


Startup Intros ‘Most Advanced’ Multi-Gigahertz Timing and Clock Devices

Startup Intros ‘Most Advanced’ Multi-Gigahertz Timing and Clock Devices

Unveiled today, the new timing chips from Mixed-Signal Devices offer 2 GHz performance and use scalable CMOS to overcome the limits of analog alternatives.


News Jun 03, 2025 by Jeff Child
Using Instantaneous Frequency to Represent PM and FM Signals

Using Instantaneous Frequency to Represent PM and FM Signals

In this article, we’ll explore the mathematical relationship between phase modulation (PM) and frequency modulation (FM). We’ll then learn how a PM modulator can be used to generate FM signals, and vice versa.


Understanding Intermodulation Distortion and the Third-Order Intercept Point In RF Systems

Understanding Intermodulation Distortion and the Third-Order Intercept Point In RF Systems

Learn how the two-tone input test helps us evaluate the nonlinearity of RF systems operating on real-world signals.


Introduction to Phase Modulation for RF Systems

Introduction to Phase Modulation for RF Systems

In this article, we introduce the basic principles of phase modulation (PM) and use example waveforms to clarify the often-confusing relationship between the PM wave and the message signal.


Exploring the Operation of the Weaver Modulator for Single-Sideband Modulation

Exploring the Operation of the Weaver Modulator for Single-Sideband Modulation

Using graphical representations to support our mathematical analysis, we walk through the process of how the Weaver modulator transforms the signal frequency spectrum.


Introduction to Weaver’s Method for SSB Signal Generation

Introduction to Weaver’s Method for SSB Signal Generation

Learn about the Weaver modulator, an RF circuit that improves on older forms of SSB modulation by removing the need for either sharp bandpass filters or quadrature phase shifters.


How Phasors Help Us Understand Bandpass Signals

How Phasors Help Us Understand Bandpass Signals

Using phasors, we explore how real-valued bandpass signals are represented as complex baseband signals in the models used by RF communication systems.


A Visual Approach to Understanding the Phasing Method for SSB Modulation

A Visual Approach to Understanding the Phasing Method for SSB Modulation

This article uses 3D models of the frequency spectrum to demystify the complex mathematical concepts, such as the Hilbert transform and the shifting property, that make the phasing method possible.


The Phasing Method and Hilbert Transforms for Single-Sideband Modulation

The Phasing Method and Hilbert Transforms for Single-Sideband Modulation

SSB modulation improves bandwidth efficiency by eliminating either the upper or lower sideband. Learn about the circuits and mathematics that make this possible without the use of sharp filters.


Introduction to Single-Sideband Modulation: The Filter Method

Introduction to Single-Sideband Modulation: The Filter Method

Learn about a classic amplitude modulation (AM) technique that’s been used in voice transmission for nearly a century.


Demodulating Double-Sideband AM Signals

Demodulating Double-Sideband AM Signals

We examine RF demodulation circuits used for both double-sideband suppressed carrier (DSB-SC) signals and double-sideband signals with a carrier.