Lesson 10 · Capstone

Information in Phase

Relationships between phases can represent and transmit information.

A signal does not have to be stored only in amplitude. Information can also be represented by phase and by the phase difference between systems. This is an educational binary phase model — a real communications system involves additional engineering not shown here.

Sender to receiver chainSenderReceiver100%0%0%0%0%0%0%0%0%

Original message

10110010

Received (decoded)

Bit errors: 0Accuracy: 0%Receiver signal: 0%Seed: 7

Live explanation

What is happening?

Press Send to begin transmitting the message through the chain.

Controls

Send a message

1.20 bit/s
3.00
0.20
0.15
0.60

Controls how strongly the receiver accepts a weakened phase signal. Low sensitivity requires a stronger incoming signal.

What to notice

  • Phase can represent information.
  • Relative phase can remain meaningful during transmission.
  • Noise introduces uncertainty.
  • Stronger coupling may preserve coherence.
  • Excessive damping can weaken the signal.
  • A receiver uses a decision rule to interpret the phase.

Show the maths

Optional — the intuition already covers the important ideas.

0 → Φ = 0  ·  1 → Φ = π

The receiver assigns each incoming phase to the reference (0 or π) it is closer to. When noise pushes the received phase across the decision boundary, an error appears.

Finished this lesson?

Mark it complete to track your progress across the series.