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RF AM to PM Conversion Calculator (Phase Distortion)

Calculate AM-to-PM conversion coefficient (Kp in °/dB) to quantify phase modulation distortion caused by amplitude fluctuations in RF amplifiers.

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AM to PM Conversion Coefficient
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Input Parameters Specification

Third Order Intercept (TOI) The theoretical point where the power of third-order intermodulation products equals the fundamental output power, measured in dBm.
Input Power Level (PIN) The baseline operational RF signal excitation amplitude level injected at the input port terminal boundary of the device under test.
Gain of the DUT (G) The characteristic absolute linear power amplification transmission gain coefficient of the active component framework, measured in dB.

Practical Operational Examples

Example 1: High Linearity RF Amplifier Test
• Third Order Intercept (TOI) = 45.00 dBm | Input Power Level = 10.00 dBm
• Device Amplification Gain = 15.00 dB
• Calculated Non-linear Conversion Output Coefficient: 1.320000 deg/dB
Example 2: Deep Compression Mismatch Channel
• Third Order Intercept (TOI) = 30.00 dBm | Input Power Level = 15.00 dBm
• Device Amplification Gain = 12.00 dB
• Calculated Non-linear Conversion Output Coefficient: 20.916870 deg/dB

AM to PM Conversion Transformation Matrix

The signal flow schema illustrates how an active device's non-linear compression profiles cleanly convert input amplitude variations (AM) into severe phase shifts (PM) downstream.

Time Amplitude AM (dB) Power sweep Mag(Amin) PM (deg) Input Stimulus Input DUT Output Time Amplitude AM (dB) Mag(AMout) PM (deg) Mag(Pmout) Output Response AM-PM Conversion = Mag(Pmout) Mag(Amin) (deg/dB)

Formulas & Mathematical Logic

Intermodulation Conversion Factor (m Power Formulation):
m = -((TOI - PIN - G) / 10)
AM-to-PM Conversion Output Result Equation:
Result = 13.2 * 10^m   (expressed in deg/dB)

The calculation predicts structural phase shift deviations (degrees/dB) under non-linear operational behaviors where power tracking variance sweeps trigger severe amplitude-to-phase intermodulation distortions inside RF components.

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About this tool

RF AM to PM Conversion Calculator (Phase Distortion) is a free online calculator tool. Use it to get instant, accurate results for your electronics calculations.