Langford Analytic · Knowledge Base

PSD Slope Reference

A quick reference for PSD slopes in dB/octave, their power-law equivalents and common engineering meanings.

Random Vibration2 min read
referencePSDslopedBoctavepower law

Slope Reference

dB/octavePower LawPSD Ratio per OctaveMeaning
0G ∝ f⁰1:1Flat — constant spectral density
+3G ∝ f¹2:1PSD doubles per octave
+6G ∝ f²4:1PSD quadruples per octave
-3G ∝ f⁻¹1:2PSD halves per octave
-6G ∝ f⁻²1:4PSD quarters per octave

Conversion

m = S / 3.01  (dB/octave to power-law exponent)
S = m × 3.01  (power-law to dB/octave)
1 decade = 3.32 octaves