Receiver DesignSystem Analysis

Noise Figure & Cascade Analysis

Every electronic amplifier adds a tiny bit of static — like each person in a telephone game adding confusion. The first amplifier matters most.

Interactive Signal Chain — Reorder Stages
The green bars show signal level and red bars show noise level at each stage output. The SNR label shows how noise figure degrades the signal-to-noise ratio.
LNAG=+15dBNF=1.5dBFilterG=-2dBNF=2dBMixerG=-6dBNF=6dBIF AmpG=+20dBNF=5dBInSNR≈34dBLNASNR≈33dBFilterSNR≈32dBMixerSNR≈32dBIF AmpSNR≈31dBSignalNoise

Cascade NF: 3.04 dB

Reorder stages to see how cascade NF changes. LNA first = lowest system NF.

LNAG=+15dB NF=1.5dB
FilterG=-2dB NF=2dB
MixerG=-6dB NF=6dB
IF AmpG=+20dB NF=5dB
Core Concepts

Quick Reference
Key noise figure formulas
Thermal noise floorN = kTB = −174 dBm/Hz
Noise factorF = SNR_in / SNR_out
Noise figureNF = 10 log₁₀(F)
Friis cascadeF = F₁ + (F₂−1)/G₁ + ...
Noise temperatureT_e = 290 × (F − 1) K
SensitivityS = −174 + NF + 10log(B) + SNR_min