// multi-utility computation suite · offline · instant · precise
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sci.power-spectral-density Calculator
Calculates the power spectral density (PSD) of a signal from Fourier transform, estimating how power is distributed across frequencies. PSD units are (amplitude²/Hz) — integrating PSD over a frequency band gives the mean-squared amplitude in that band.
Inputs
Amplitude
Maximum displacement from equilibrium. Energy carried by a wave is proportional to amplitude squared.
Frequency
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Noise Floor
Reference formula or conversion factor shown for context.
Bandwidth
Horizontal extent perpendicular to the length.
Results
signal power (V^2)
The meaningful information component, separated from noise.
signal PSD (dBV^2)
The meaningful information component, separated from noise.
SNR (dB)
Sample size or count used in the calculation.
noise floor
Random or irrelevant variation in the measurement.
total noise in BW (V^2)
The combined total across all inputs and components.
SNR rule of thumb
A widely used practical approximation or heuristic for this field — useful for quick estimates but not a substitute for rigorous calculation.