Wireless 101
M03 · L04
Adding Up the Bill

Limitations of AM

AM plainly works — it reached most of the planet and it is still on the air. So why did engineers spend two decades looking for something else? Four complaints. Three are fixable. One is not.

01 / 17
Wireless 101
M03 · L04
Complaint One

A 50 kW Electricity Bill

At m = 1 a 50 kW medium-wave station radiates 33.3 kW of carrier that conveys nothing. The sidebands get 16.7 kW — and since they are mirror images, only 8.3 kW of that is non-redundant. One sixth of the bill is doing the job.

33.3
kW carrier
16.7
kW sidebands
8.3
kW non-redundant
02 / 17
Wireless 101
M03 · L04
The Formula

Efficiency Peaks at One Third

Divide the sideband power by the total and this is what you get. It rises with m and tops out at exactly 1/3 when m = 1. There is no modulation depth at which standard AM is efficient.

Modulation Efficiency
\eta=\frac{m^{2}/2}{1+m^{2}/2}=\frac{m^{2}}{2+m^{2}}\quad\Rightarrow\quad \eta_{\max}=\tfrac{1}{3}
03 / 17
Wireless 101
Interactive
Try It

Where the Power Goes

m1.00
33.3% useful · −4.8 dB
04 / 17
Wireless 101
M03 · L04
And That Was the Best Case

Real Programme Material Is Quieter

Speech and music spend most of their time well below their peaks. At an average depth of m = 0.3 the efficiency is 0.09/2.09 = 4.3% — a handicap of −13.7 dB before the signal has travelled one metre.

But Be Fair
The carrier buys the diode receiver. AM spends two thirds of its power making receivers cheap
05 / 17
Wireless 101
M03 · L04
Complaint Two — The Real One

Noise Is the Signal

Thermal noise, lightning, a switching supply, a brush motor — every disturbance adds to the wave, and adding changes amplitude. AM put the message in the amplitude. So the detector has no way, even in principle, to tell an envelope change the transmitter made from one a lightning strike made.

06 / 17
Wireless 101
M03 · L04
Why It Cannot Be Fixed

There Is No Limiter

An FM receiver clips the incoming wave to a constant height and throws every amplitude variation away, noise included, because none of its message was in the amplitude. Put that circuit in front of an envelope detector and it erases the message and keeps the noise.

The Deepest Limitation
AM has no knob that converts bandwidth into noise immunity. A wider AM channel just admits more noise
07 / 17
Wireless 101
M03 · L04
Complaint Three

Fading That Is Selective

Plain fading only makes a station quiet, and the AGC handles it. But an HF delay spread of about 1 ms puts the channel’s coherence bandwidth near 160 Hz — and a carrier and its sidebands are kilohertz apart. They fade independently.

08 / 17
Wireless 101
M03 · L04
The Hostile Arithmetic

The Carrier Fades, m Doubles

Let the carrier fade 6 dB while the sidebands do not. Its amplitude halves, so the modulation index the receiver sees becomes 2m. A well-behaved m = 0.6 arrives as 1.2 — over-modulation and envelope reversal, with nothing changed at the transmitter.

You Have Heard This
The hollow, watery swirl of a distant night-time AM station
09 / 17
Wireless 101
M03 · L04
Complaint Four

Every Impulse Is a Click

Commutator motors, dimmers, switching supplies, power lines, cheap LED drivers. All broadband, all impulsive, all strongest at exactly the low frequencies AM broadcasting lives on. An impulse is a large brief amplitude event — the worst possible shape of interference for a detector that reads amplitude.

Why the Band Sounds Worse Than in 1960
The transmitters have not changed. Your house has
10 / 17
Wireless 101
M03 · L04
Sharing a Channel

No Capture Effect

Two AM signals on one frequency simply add, because that is what amplitudes do. You hear both stations plus a whistle at the difference between their carriers, and nothing in the receiver can pick one. FM’s limiter suppresses the weaker almost completely — so AM’s answer has to be regulatory: licensed spacing, protected contours, power cuts at sunset.

11 / 17
Wireless 101
M03 · L04
Get This Right

Redundancy, Not Width

AM is narrow — 2fm beats everything in Module 4. The waste is that the two sidebands are mirror images, so DSB spends 2fm to deliver fm. And the bill is paid in fidelity: a 10 kHz channel halved leaves about 5 kHz of audio, which is why AM sounds dull.

SSB Fixes It, and Charges You
Half the bandwidth, no idle carrier — and no phase reference, so you need M3-L3’s coherent detector
12 / 17
Wireless 101
M03 · L04
The Specification Writes Itself

What a Fix Would Need

  • Put the information where amplitude noise cannot reach — frequency or phase
  • Keep the envelope constant, so a limiter can flatten it safely
  • Spend all the power on the message — no idle carrier term
  • Offer a trade: a knob that buys noise immunity with bandwidth
  • Degrade to one usable station rather than two ruined ones

Carson argued in 1922 that frequency modulation only widened the band. He was right for narrowband — and Armstrong showed in 1933 that going deliberately wide changes the answer.

13 / 17
Wireless 101
M03 · L04
Not Obsolete

When the Defect Is a Feature

Aviation voice is AM partly because there is no capture effect. If two aircraft transmit at once, both are heard — garbled, whistling, obviously overlapping. Under FM the weaker aircraft would simply vanish, with no indication it had ever spoken.

And Medium Wave
One transmitter covers a country; the receiver runs a month on two dry cells. In an emergency, that wins
14 / 17
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

15 / 17
Wireless 101
Key Takeaways
Summary

Key Takeaways

  • Efficiency is m²/(2+m²) — peak 1/3, and only 4.3% at a real m = 0.3
  • That carrier buys the diode receiver: it is a trade, not pure waste
  • The irreparable defect: noise is amplitude, and so is the message
  • Selective fading is the same defect — a faded carrier doubles the effective m
  • No capture effect, so co-channel signals just add
  • The bandwidth complaint is redundancy, not width — SSB fixes it, coherently
16 / 17
Module Complete
Up Next
Module 3 Complete

Module 3 Complete!

You have built amplitude modulation from the idea to the equation, taken it apart with a diode, and totalled up its bill. Everything on the fix-it list points the same way: keep the amplitude constant and put the message in the frequency.

Up Next: Module 4
17 / 17