PPM and PPB to Hz Convertor

This convertor is designed to help engineers and technicians determine the frequency variation of oscillators based on their specified stability in parts per million (PPM) or parts per billion (PPB).

How the Conversion Works

The conversion calculates the frequency deviation (Δf) from the nominal frequency using the stability value provided in PPM or PPB units. It also provides the minimum and maximum possible frequencies.

Conversion Formula

Δf (Hz) = f × (stability in PPM) / 1,000,000

Minimum Frequency: f_min = f – Δf

Maximum Frequency: f_max = f + Δf

Explanation of the Formula

The formula takes the nominal oscillator frequency (f) and multiplies it by the fractional stability (stability / 1,000,000) to compute the absolute frequency deviation in Hz. If stability is given in PPB, it is first converted to PPM by dividing by 1000. Adding and subtracting this deviation from the nominal frequency yields the frequency range.

Example Calculation

For a 10 MHz oscillator with a stability of 5 PPM:

Δf = 10,000,000 × 5 / 1,000,000 = 50 Hz

Minimum Frequency: f_min = 10,000,000 – 50 = 9,999,950 Hz

Maximum Frequency: f_max = 10,000,000 + 50 = 10,000,050 Hz

Why this PPM/PPB to Hz Convertor is useful:

1. Quickly estimate oscillator frequency variation for precise timing applications.

2. Supports both PPM and PPB units for flexibility with datasheets.

3. Essential for RF design, clock generation, and synchronization tasks.

4. Reduces calculation errors when converting stability specifications to actual frequency deviation.

5. Saves time in system design and performance verification.