Signal zero-padding frequency grid calculator

Calculate padded FFT spacing and original observation reciprocal duration with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use padded FFT spacing and original observation reciprocal duration to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Sample rate (Hz)
1000
Original sample count
100
Zero-padded FFT length
1024
Padded FFT spacing (Hz)
0.976562
Original observation reciprocal duration (Hz)
10
Inserted zeros
924

Try another scenario

Sample rate (Hz)
1100
Original sample count
100
Zero-padded FFT length
1024
Padded FFT spacing (Hz)
1.074219
Original observation reciprocal duration (Hz)
11
Inserted zeros
924
Calculation method

Calculation method

Padded FFT spacing (Hz)

Sample rate / padded length.

Original observation reciprocal duration (Hz)

Sample rate / original count; zero padding does not improve true resolution.

Inserted zeros

Padded minus original length.

Symbols and units
a
Sample rate (Hz)
b
Original sample count
c
Zero-padded FFT length

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Sample rate, original-padded lengths. Returns Bin grid and unchanged resolution note. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Sample rate (Hz): minimum 1e-12, maximum 1000000000000.0. Original sample count: minimum 2, maximum 1000000. Zero-padded FFT length: minimum 2, maximum 1000000.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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