Receiver Sensitivity

The minimum signal level a receiver can detect at a specified data rate and error rate — a critical link budget parameter.

What is Receiver Sensitivity?

Receiver sensitivity (often written as S_min or simply "sensitivity") is the minimum input signal power, in dBm, at which a receiver can reliably demodulate and decode a signal at a specified performance standard — typically a target bit error rate (BER) or packet error rate (PER).

More negative sensitivity means a more sensitive receiver. A receiver with −105 dBm sensitivity can detect signals 100,000 times weaker than one with −55 dBm sensitivity. Sensitivity is determined by three fundamental factors: the thermal noise floor, the receiver's noise figure, and the minimum SNR required by the modulation and coding scheme.

In link budget calculations, receiver sensitivity is the lower boundary that received signal power must exceed to establish a functional link. The margin between received power and sensitivity is the fade margin.

Why Does It Matter?

Quick Receiver Sensitivity Calculator

Formulas Used by LinkBudgetPro

\[ N_{\text{floor}} = -174 + 10\log_{10}(B_{\text{Hz}}) + \text{NF} \quad [\text{dBm}] \]

\(-174\) dBm/Hz = thermal noise density at 290 K · \(B_{\text{Hz}}\) = channel bandwidth in Hz

\[ \text{SNR}_{\text{req}} = 10\log_{10}\!\left(2^{R\,/\,(B \cdot N_s)} - 1\right) \]

Shannon-derived minimum SNR for target rate \(R\) [b/s], bandwidth \(B\) [Hz], \(N_s\) spatial streams

\[ S = N_{\text{floor}} + \text{SNR}_{\text{req}} \quad [\text{dBm}] \]

Receiver sensitivity: minimum received signal power to achieve the target data rate

\(-174\) dBm/Hz is the Johnson-Nyquist thermal noise power spectral density at room temperature (290 K).

Parameter Explanation

ParameterSymbolUnitDescription
BandwidthBWHz / MHzChannel bandwidth — wider channels raise the noise floor
Noise FigureNFdBReceiver noise added above thermal floor. LNA: 1–3 dB, typical radio: 5–12 dB
Required SNRSNR_mindBMinimum SNR needed by the modulation/coding scheme
Thermal noise floorN₀dBm/Hz−174 dBm/Hz at 290 K (room temperature)
Noise floorNdBmTotal noise power in the channel: N₀ + 10·log₁₀(BW) + NF
Receiver SensitivityS_mindBmMinimum detectable signal = noise floor + required SNR
Spatial StreamsN_sNumber of MIMO spatial streams = min(Tx antennas, Rx antennas)

Worked Example

Calculate receiver sensitivity for a 10 MHz channel, 6 dB noise figure, targeting 20 Mbps data rate with 1 spatial stream:

BW = 10 MHz = 10×10⁶ Hz; NF = 6 dB; Rate = 20 Mbps
Noise Floor = −174 + 10·log₁₀(10×10⁶) + 6
Noise Floor = −174 + 70 + 6 = −98 dBm
Spectral efficiency = 20×10⁶ / (10×10⁶ × 1) = 2.0 b/s/Hz
SNR_required = 10·log₁₀(2² − 1) = 10·log₁₀(3) = 4.77 dB
Sensitivity = −98 + 4.77
Sensitivity ≈ −93.2 dBm

When Should You Use It?

Related Calculations

Calculate receiver sensitivity from bandwidth and noise figure in the full RF link budget calculator.

Open Full RF Link Budget Calculator