CALCULATORS / SIGNALS, SAMPLING AND DATA

Sensor data-rate and storage budget calculator

Raw sampled data rate plus supplied framing expansion.

signals-data-rate.napkin / editable

SCENARIO COMPARISON

Compare the numbers.

This source describes an analytical model. Its quantities and checks are the view.

Scenario	raws^-1	encodeds^-1
	64000	76800
	51200	61440

All calculated quantities are listed with the inputs. Switch to Source to inspect the equations.

SCENARIOS / CALCULATED VALUESSAME SOURCE

Change an input to see the consequences.

link rate budget76800.00 s^-1✓ passes

BASELINE INPUTS

channels4 sampleRate1000 Hzbits16 overheadFactor1.2

CALCULATED

raw64000 s^-1

encoded76800 s^-1

Edits change the baseline source.

THE SOURCE

Edits below update the same model.

# Sensor data-rate and storage budget
# Scope: Raw sampled data rate plus supplied framing expansion.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

channels = 4
sampleRate = 1000 Hz
bits = 16
overheadFactor = 1.2

raw := channels*sampleRate*bits [s^-1]
encoded := raw*overheadFactor [s^-1]

check link rate budget: encoded <= 100000 s^-1

scenario alternative: channels = 3.2

Calculated from your source · not saved

Baseline · Baseline

link rate budget76800.00 s^-1 ✓ passes

alternative · alternative

link rate budget61440.00 s^-1 ✓ passes

Illustrative first-order example. Checks are editable requirements, not design standards. The broader topic may require additional equations, data, and validation.

Formula and units

This example uses the following equations. Input names and units match the editable source above.

raw: raw = channels*sampleRate*bits [s^-1]
encoded: encoded = raw*overheadFactor [s^-1]

Original worked example

These are the baseline values in the downloadable source. Edits above let you test your own values.

Given

channels: 4
sample rate: 1000 Hz
bits: 16
overhead factor: 1.2

Calculated

raw: 64000 s^-1
encoded: 76800 s^-1

Assumptions and limits

Raw sampled data rate plus supplied framing expansion.

The requirement checks use the limits written in this example. Passing a check does not establish that the model covers every load, material behavior, or operating condition in a real design.

Download this .napkin example ↓

Take it further with your agent

Napkin keeps the inputs, equations, checks and assumptions together in one study. Your agent sets it up; you change the numbers.

Try with Claude ↗

codex 'Use Napkin (https://napkin.engineering/mcp, or the local Napkin plugin) to build a study: Sensor data-rate and storage budget. Inputs: channel count; sample rate; bits; framing; duration. Outputs: raw/payload data rate; storage demand. Model scope: Sampled-data models with stated bandwidth and noise assumptions. Read napkin_capabilities and the current snapshot. Ask me for the values that matter, label assumptions with units, author .napkin source, validate it and apply it with napkin_source using the current revision, then open the study. Add checks for the limits I supply. Keep unsupported analyses explicit.'

Claude needs the Napkin connector; Codex needs the Napkin plugin. Set up your agent ↗

The broader study

The topic brief below describes the broader scope. The worked example above states the particular calculation it implements.

Inputs: channel count, sample rate, bits, framing, duration
Outputs: raw/payload data rate, storage demand
Modes: calculate, compare, sweep
Drawing: Signal, samples and spectrum

EXECUTABLE WORKED EXAMPLE · FIRST-ORDER MODEL · CHECK THE SCOPE & ASSUMPTIONS