kTB Noise Power Calculator

Thermal noise power is a function of

  • Temperature T
  • Bandwidth B
  • Boltzmann’s Constant k = 1.380649 × 10-23 m2 kg s-2 K-1

kTB Noise Power Formula

Thermal noise power is calculated using the following:

Pn = 10 * log10 (kTB/1mW)

The units are dBm. If the bandwidth selected is 1 Hz, then it the unit for noise power is dBm/Hz.

The temperature has to be higher than 0 Kelvin

Noise Power Example Calculation

At room temperature (27oC) the noise power in a 1 Hz bandwidth is -173.83 dBm/Hz.

Noise power increases with temperature and bandwidth.

For a Radio Receiver or Spectrum Analyzer that is set to 1 Hz resolution bandwidth (RBW), this is the lowest signal power that can be detected. In practice, the threshold is higher by about 10 dB or more depending on the noise figure of the receiver.