Filters and Signals
Model class: Exact ideal relationship
FFT bin and record-length planner
Calculate FFT bin spacing, record duration, and Nyquist frequency from sample rate and record length.
Interactive engine
Start with the stated conditions.
Values stay in this browser. Choose a representative scenario, then calculate deliberately.
Example ready
Calculate to inspect the result.
The result will identify the direct answer, assumptions, and any warning that changes the next decision.
How much does each input matter?
Each row holds every other input fixed at its current value and moves one input by ±10%, using the same model as the main result. It identifies which input is the binding lever, not a full tolerance stack.
Assumptions to check
- The entered FFT-record-planner values represent the stated operating condition.
- This exact ideal relationship is evaluated in the declared lumped or first-pass model.
- A FFT-record-planner calculation is not a component qualification or safety approval.
What this FFT-record-planner calculation establishes
Calculate FFT bin spacing, record duration, and Nyquist frequency from sample rate and record length. The useful result is the stated electrical quantity and the decision it supports, not an unstated claim about a finished product. This engine keeps the governing relationship visible so an input, unit, condition, or model boundary can be reviewed before a value becomes a component or layout choice.
Bin spacing equals sample rate divided by record length; record duration is the reciprocal of bin spacing, and Nyquist frequency is half the sample rate. Treat the number as a first-pass result for the declared operating point. When a source, load, temperature, frequency, waveform, component tolerance, or measurement condition changes, repeat the calculation at the relevant corner rather than assuming the nominal answer persists.
Worked decision context
fs = 1 MHz and N = 10,000 give 100 Hz bin spacing, a 10 ms record duration, and a 500 kHz Nyquist frequency. That example verifies the equation and illustrates the scale of the result, but it does not select a part by itself. Compare the result with available values, ratings, tolerance bands, and the receiving circuit or physical environment before implementation.
Use the primary output to identify the binding constraint. If it leaves little margin, document which input dominates and use selected-part data, a higher-fidelity model, simulation, or measurement. This is especially important when a small numerical difference changes a thermal, timing, noise, or reliability decision.
Limits and validation handoff
It gives the ideal rectangular-window resolution. Window shape, spectral leakage, coherent sampling, and channel memory limits change the achievable frequency resolution. The calculation does not silently include omitted parasitics, installation conditions, manufacturing variation, or product policy. Those conditions can be decisive even when the arithmetic is exact for the selected model.
Record inputs, units, model assumptions, and the intended decision with the result. Verify the leading risk against the selected component data sheet and a representative measurement when the circuit has consequential energy, high voltage, safety, compliance, or reliability requirements.
Common mistakes
- Treating the FFT-record-planner result as a guaranteed operating limit rather than a first-pass exact ideal relationship estimate.
- Mixing a data-sheet value measured under one condition with this FFT-record-planner calculation performed at another.
- Selecting a component before checking the boundary this calculation names: it gives the ideal rectangular-window resolution. Window shape, spectral leakage, coherent sampling, and channel memory limits change the achievable frequency resolution.
Model limit and handoff
Keep the entered FFT-record-planner conditions with the calculation, then validate the binding limit using the selected component, physical implementation, and representative operating corner.
FAQs
Is this FFT-record-planner result sufficient to approve a design?
No. It applies exact ideal relationship reasoning to the entered FFT-record-planner values and names the checks that still need selected-part data, a higher-fidelity model, or measurement. It gives the ideal rectangular-window resolution. Window shape, spectral leakage, coherent sampling, and channel memory limits change the achievable frequency resolution.
What does this FFT-record-planner calculator assume that could make the result wrong?
Bin spacing equals sample rate divided by record length; record duration is the reciprocal of bin spacing, and Nyquist frequency is half the sample rate. If the entered values do not match the real operating condition, the result no longer describes the actual circuit.
Where should this FFT-record-planner result go next?
Compare this FFT-record-planner result with Sampling, aliasing, windows, and FFT records, then use the stated next decision below the calculator to move from this first-pass number toward an implementation.