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Math Reference

All formulas with full explanation and derivation context are in the guide:

Reference Equations (Guide)


Unit conversions

ConversionFormula
dBm → WP(W)=10((P(dBm)30)/10)P(W) = 10 ^ ((P(dBm) − 30) / 10)
W → dBmP(dBm) = 10 · log₁₀(P(W)) + 30
dB → linearx = 10 ^ (x(dB) / 10)
linear → dBx(dB) = 10 · log₁₀(x)
MHz → Hzmultiply by 10⁶

References

  • Friis, H.T. (1944). "Noise Figures of Radio Receivers." Proc. IRE, 32(7), 419–422.
  • Razavi, B. (2012). RF Microelectronics, 2nd ed. Prentice Hall. Ch. 2.
  • Pozar, D.M. (2012). Microwave Engineering, 4th ed. Wiley. Ch. 10.