RF Concepts

RF Linearity Parameters – P1dB, OIP3, and SFDR

RF system linearity determines the signal handling range. P1dB sets the compression limit; OIP3 sets the intermodulation limit. How these parameters define system SFDR and back-off requirements.

Linearity Parameters Summary

ParameterDefinitionMeasured How
P1dB (IP1dB)Power where gain drops 1 dB from linearCW power sweep with power meter
IIP3Extrapolated input intercept of IM3 with fundamentalTwo-tone test with spectrum analyzer
OIP3Output-referred IP3 = IIP3 + G₀Derived from IIP3 measurement
SFDRSpurious-Free Dynamic RangeComputed from IIP3 and noise floor

Relationship Between Linearity Parameters

  OIP3 ≈ OP1dB + 9.6 dB  (Class A approximation)
  OP1dB ≈ OIP3 − 9.6 dB
  
  SFDR = (2/3)(IIP3 − noise_floor)  [input-referred]
  
  Cascaded OIP3:
  1/OIP3_total = 1/OIP3_N + G_N/OIP3_{N-1} + G_N·G_{N-1}/OIP3_{N-2} + ...
  (Last high-gain stage dominates linearity)

Back-Off for OFDM Modulation

  OFDM signals have high PAPR (Peak-to-Average Power Ratio):
  LTE 20 MHz: PAPR ≈ 8–10 dB
  5G NR 100 MHz: PAPR ≈ 10–12 dB
  
  Required PA back-off from OP1dB:
  Back-off ≈ PAPR + 3 dB (safety margin) ≈ 13–15 dB
  
  At +40 dBm OP1dB (GaN PA): average TX power ≈ +25 to +27 dBm
RF View S-Parameter Analysis: RF View analyzes small-signal S21 gain, S11/S22 match, and stability from VNA .s2p files. Combine with bench P1dB and two-tone IIP3 measurements for complete amplifier characterization. Free on Android.

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