PPM/PPB to Hz Conversion Formula
Δf = f × (stability / 10⁶)
Formula Explanation
This PPM/PPB to Hz conversion calculator converts frequency stability values given in parts per million (PPM) or parts per billion (PPB) into an actual frequency variation in Hertz. The oscillator frequency (f) is multiplied by the normalized stability factor (stability divided by one million) to determine the absolute frequency deviation (Δf). Minimum and maximum frequencies can also be derived as f – Δf and f + Δf, respectively.
Uses of PPM/PPB to Hz Conversion Calculator
Engineers and technicians use this PPM/PPB to Hz conversion calculator in various applications, including:
- Estimating frequency variation in oscillators and signal generators.
- Designing frequency-sensitive RF and communication systems.
- Checking the impact of component tolerances on signal stability.
- Verifying timing accuracy in precision electronics and instrumentation.
- Educational purposes to understand frequency stability metrics.
Formula Example
Assume an oscillator frequency of 10 MHz with a stability of 50 PPM.
Δf = 10,000,000 × (50 / 1,000,000) = 500 Hz
Minimum frequency: fmin = 10,000,000 – 500 = 9,999,500 Hz
Maximum frequency: fmax = 10,000,000 + 500 = 10,000,500 Hz
This indicates the oscillator may vary by ±500 Hz around the nominal 10 MHz frequency.