E.10Noise Figure Cascade

Enter the gain and noise figure of each stage in order; empty stages are ignored.

For passive lossy stages (filter, cable, mixer) NF ≈ loss.

Results

Total noise figure
—
Total gain
—
Noise temperature
—
Noise floor
—
Sensitivity
—
Stages used
—

    Formulas

    Friis
    F = F₁ + (F₂ − 1)/G₁ + (F₃ − 1)/(G₁G₂) + … (F, G linear)
    Noise temperature
    T_e = (F − 1) · 290 K
    Sensitivity
    S = −174 dBm/Hz + NF + 10·log₁₀(B) + SNR

    Why the first stage matters

    In the Friis formula, the noise contribution of later stages is divided by the gain of the preceding stages. The first stage therefore dominates the total noise figure: placing a high-gain, low-noise LNA first reduces the impact of lossy, noisy stages behind it. Any loss between antenna and LNA (cable, filter) adds directly to the total NF.