Wireless 101
M04 · L03
Getting the Message Back

FM Demodulation

FM transmission encodes audio in frequency variations. Demodulation does the reverse: it extracts the audio from those frequency changes. Several elegant circuits accomplish this — each with different tradeoffs.

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Wireless 101
M04 · L03
The Challenge

What We Need to Recover

An FM signal's amplitude is constant — the information is in its instantaneous frequency. To demodulate, we must convert frequency variations into amplitude variations.

FM Signal
s(t) = A\cos\!\left(2\pi f_c t + 2\pi k_f\!\int x(\tau)\,d\tau\right)
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Wireless 101
M04 · L03
Method 1

Slope Detector

A tuned circuit has a slope in its frequency response. Detune it slightly: now different frequencies produce different amplitudes. Apply an envelope detector — you have FM demodulation.

Simple
Circuit
Poor
Linearity
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Wireless 101
M04 · L03
Method 2

Foster-Seeley Discriminator

Two detuned circuits, one above and one below center frequency. Their outputs are subtracted: at center frequency, they cancel (zero output). As frequency shifts, one dominates — the difference is the audio.

Key Property
Linear response over a wider range than slope detector. Used in classic FM radios from 1936 onward.
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Wireless 101
M04 · L03
Method 3

Ratio Detector

A variant of the Foster-Seeley with an added capacitor that rejects amplitude variations. Since FM noise often appears as amplitude variations, this gives natural noise rejection — no limiter needed.

AM
Rejection
Simple
No Limiter
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Wireless 101
M04 · L03
Method 4

Phase-Locked Loop

A Voltage-Controlled Oscillator (VCO) tracks the FM signal's frequency. The control voltage needed to keep the VCO locked is exactly the original audio signal.

FM In
→
Phase Detector
→
Loop Filter
→
VCO
→
Audio = VCO Control
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Wireless 101
M04 · L03
PLL Math

Why the PLL Works

The VCO frequency is proportional to its control voltage. When locked, the VCO output matches the FM signal's instantaneous frequency — so the control voltage directly tracks the message signal.

VCO Equation
f_{\text{vco}}(t) = f_0 + k_v\,v(t)
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Wireless 101
M04 · L03
Modern Method

Digital FM Demodulation

Software-defined radios digitize the FM signal first. Demodulation becomes simple arithmetic: compute the phase difference between successive samples.

Digital FM Demod
x[n] = \arg\!\left(s[n]\cdot s^*[n-1]\right)
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Wireless 101
M04 · L03
The Full Chain

FM Receiver Block Diagram

Antenna
→
BPF
→
LNA
→
Mixer
→
IF Filter
→
Limiter
→
Demod
→
De-emph
→
Audio
  • BPF — selects desired station
  • LNA — low-noise amplifier
  • Limiter — removes AM noise before demod
  • De-emphasis — undoes pre-emphasis from transmitter
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Wireless 101
M04 · L03
FM's Secret Weapon

The Capture Effect

When two FM signals arrive at the same frequency, the stronger one wins completely. The limiter suppresses the weaker signal. A 3 dB power advantage is enough for full capture. AM has no such protection.

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Wireless 101
Knowledge Check

Check what stuck

Four questions from this lesson. Answer to see why — the explanation appears whether you were right or wrong. Nothing is scored or saved.

Question 1 of 0
Score 0/0

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Wireless 101
Key Takeaways
Summary

Key Takeaways

  • FM demodulation converts frequency → amplitude
  • Slope detector: simple but nonlinear
  • Foster-Seeley: better linearity, needs limiter
  • Ratio detector: natural AM rejection
  • PLL demodulator: elegant, widely used in ICs
  • Digital: just compute phase difference between samples
  • Limiter + FM demod gives the capture effect
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Wireless 101
Up Next
Three Down, One To Go

FM Mastered

You now understand FM — concept, math, bandwidth, and demodulation, and you have seen how a PLL elegantly recovers the original audio. One lesson left in Module 4: putting AM and FM side by side, with every number on the table.

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