OBSERVATION CHAMBER / ACTIVE

Temporal Aliasing Observatory

Compare a continuously rotating signal with discrete samples and observe forward, frozen, or reversed readings caused by Nyquist and exposure ambiguity.

time / aliasing Observation Model

TIME / ALIASING

When fast motion becomes a slower sample

Compare continuous motion with the observations left by a finite sampling rate.

PLAYBACK WAITING
OBSERVATION WAITING
READOUT SET PARAMETERS

TRUE CONTINUOUS MOTION is the moving phase at the true frequency f₀. SAMPLED OBSERVATIONS are the points recorded at rate fₛ. Exposure averages motion during each sample; jitter is a percentage of one sample interval (Ts) that shifts the sample time. The wrapped phase error uses a ±180° boundary; crossing it changes the visible alias relation.

Choose a preset or start the model.

True frequency f₀
2.5 Hz
Sample rate fₛ
12.0 Hz
Nyquist frequency
6.0 Hz
Alias frequency
+2.5 Hz
Alias order
k = 0
Phase step
+75°
Exposure gain
1.000
Timing jitter (realized)
±0.00 ms
Sample count
0
Observation state
WAITING

OBSERVATION CONTRACT

Sampling behavior, not ability

This browser-local model compares a continuous phase with finite observations. It does not evaluate ability, timing skill, accuracy, attention, health, or any person. No camera, microphone, audio input, external API, or uploaded signal is used.

WHAT TO WATCH

A slower trace can come from a faster motion

  • Raise the true frequency above half the sample rate and compare the moving phase with the sampled points.
  • Move sample phase to see the same alias frequency begin at a different offset.
  • Increase exposure or the jitter ratio to soften and spread the observations; watch the wrapped phase cross ±180°.

MODEL NOTE

Sampling folds frequency

falias = f0 − kfs, with k chosen for the nearest observable band. The sign shows the visible direction of the sampled motion.

The Nyquist frequency is fs/2. Exposure applies a finite-window gain, jitter perturbs sample times as a ratio of Ts, and a wrapped phase difference is read across its ±180° boundary. This is a visual model, not a measurement of real-world accuracy.

OBSERVATION POLICY

This chamber visualizes sampling and exposure ambiguity. It does not score, rank, or evaluate visual acuity, timing ability, attention, or personal traits.