Modulation Calculator

Calculate modulation index for amplitude, frequency, and phase modulation

Calculate Modulation Index

V

Amplitude of the modulating signal

V

Amplitude of the carrier signal

Modulation Index Results

0.0000
μa (Amplitude Modulation Index)
No modulation

Formula used: μa = Am / Ac

Optimal range: 0.5 ≤ μa ≤ 1.0 for efficient AM without distortion

Modulation Analysis

Example Calculation

FM Radio Station Example

Scenario: FM broadcast station

Maximum frequency deviation (Δf): 75 kHz

Highest message signal frequency (fm): 15 kHz

Modulation type: Frequency Modulation

Calculation

μf = Δf / fm

μf = 75,000 Hz / 15,000 Hz

μf = 5

This is wideband FM with good signal quality

Modulation Types

AM

Amplitude Modulation

μa = Am / Ac

Range: 0 to 1 (ideal)

FM

Frequency Modulation

μf = Δf / fm

No upper limit

PM

Phase Modulation

μp = Δθ

Radians (0 to π typical)

Modulation Tips

AM: Keep modulation index ≤ 1 to avoid distortion

FM: Higher index provides better noise immunity

PM: Often used in digital communication systems

Higher modulation index = wider bandwidth requirement

Understanding Modulation

What is Modulation?

Modulation is the process of converting data into radio waves by adding information from a low-frequency signal to a high-frequency carrier signal. The carrier signal can travel long distances but doesn't carry useful information until modulated.

Types of Modulation

  • Amplitude Modulation (AM): Varies carrier amplitude
  • Frequency Modulation (FM): Varies carrier frequency
  • Phase Modulation (PM): Varies carrier phase

Modulation Index

The modulation index quantifies the degree of modulation. It represents the ratio of the message signal variation to the carrier signal characteristics.

AM: μa = Am / Ac

FM: μf = Δf / fm

PM: μp = Δθ

Applications

  • • AM: AM radio broadcasting, aviation communication
  • • FM: FM radio, two-way radio, television audio
  • • PM: Digital communication, satellite systems