HISTORICAL DRAWING · 1942

Synchronized frequency hopping

How much time remains after retuning and synchronization allowances?

H. K. Markey (Hedy Lamarr) & G. Antheil, US 2,292,387 "Secret Communication System", sheet 1
H. K. Markey (Hedy Lamarr) & G. Antheil, US 2,292,387 "Secret Communication System", sheet 1. View the original source and attribution ↗

A contemporary sketch model

Every number below is a modern illustrative assumption. The historical drawing supplies a question; the source model is an exercise in reasoning about it.

dwell = 20 ms "Illustrative dwell per channel"
settling = 2 ms in 1..6 "Assumed radio retuning time"
syncError = 1 ms "Assumed worst timing misalignment"
usableDwell := dwell-settling-2*syncError [ms]
dutyFraction := usableDwell/dwell
check usefulTime: usableDwell >= 10 ms
check positiveBudget: dutyFraction >= 0
sweep Retune: settling = 1, 2, 6 ms

Model limits

Static timing budget only; no generated hop sequence, RF propagation, modulation, interference resilience or security claim.

Explore it with your agent

Create a Study, inspect the installed capabilities, and use this source as a starting point. Ask the agent to explain the equations and assumptions, then replace illustrative inputs with measured evidence for your own design.

This example includes a scalar sweep. Use napkin_sketch to add the model and napkin_run to inspect the sweep; the source editor’s scalar comparison view is for simple scenarios.

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