NaNa Lab EngineeringE143 · Signals and sampling

ONE FORMULA, ONE ANSWER

Sampling Jitter SNR Calculator

Estimate the signal-to-noise ratio imposed solely by timing jitter when sampling a sine wave. Choose input units and calculate one value within the stated conditions.

Inputs

Greater than zero after conversion to SI

Greater than zero after conversion to SI

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Jitter-limited SNR

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Enter values and select Calculate.

FORMULA

SNR_j = −20 log₁₀(2πfσt)

Assumptions

Required: a single sinusoidal input and small, uncorrelated RMS timing errors. This tool limits 2πfσt to 0.1 rad or less. σt is the total RMS timing jitter over the relevant integration bandwidth; root-sum-square combination applies only to independent jitter sources. Excluded: quantization, thermal noise, distortion, multiple tones and large phase errors.

Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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