Receiver Desensitisation Calculator

Work out how much sensitivity a receiver loses to interference, and the isolation that keeps desense inside a budget.

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Worked example: −130 dBm of interference on a 12.5 kHz receiver

Desense: 1.46 dB

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How it works

Desense formula: receiver desensitisation from I/N

Receiver desensitisation, or desense, is the sensitivity a receiver loses when unwanted power lands in its passband. The interference adds to the receiver's own noise as power, so the noise floor rises, and the rise in dB is the sensitivity lost. It depends only on the interference to noise ratio, I/N: how far the interference sits above or below the noise floor in the same bandwidth.

ITU-R F.758-8 gives the rise, there called the degradation in fade margin, as 10 log₁₀(1 + I/N) with I/N as a power ratio. Turned round, the same relation gives the most interference a desense budget allows. The noise floor comes from the receiver bandwidth and noise figure, and noise figure is defined against a 290 K source (ITU-R P.372).

N = k (Tₐ + T₀(F − 1)) B

N = −173.98 + 10 log₁₀(B) + NF, in dBm, when Tₐ = 290 K

D = 10 log₁₀(1 + 10^((I − N)/10))

Iₘₐₓ = N + 10 log₁₀(10^(D/10) − 1)

D
desense, the rise in the noise floor and the sensitivity lost, in dB
I
interference power in the receiver bandwidth, in dBm
N
receiver noise floor, in watts in the first line and in dBm after it
I − N
interference to noise ratio, I/N, in dB
Iₘₐₓ
the most interference that keeps the desense to D, in dBm
k
Boltzmann constant, 1.380649 × 10⁻²³ J/K
T₀, Tₐ
the 290 K reference temperature, and the antenna noise temperature, in kelvin
F, NF
receiver noise factor, and the noise figure, 10 log₁₀ F, in dB
B
receiver noise bandwidth, in Hz

Standards

  • ITU-R F.758-8 Annex 1 §4.1 c): desense as the degradation in margin caused by interference
  • ITU-R P.372: noise figure defined at 290 K, for the receiver noise floor k(Tₐ + 290(F − 1))B
  • ITU-R P.1411-13 §4.1.1 Table 4 and §4.2.1 Table 8 (outdoors) and ITU-R P.1238-13 §3.1 Table 2 (indoors): site-general distance coefficients for the range loss

Worked example

Worked example: −130 dBm of interference on a 12.5 kHz receiver

A land mobile receiver with a 12.5 kHz bandwidth and a 7 dB noise figure, its antenna at 290 K, picks up −130 dBm of interference in its passband.

StepWorkingResult
Noise floor−173.98 + 10 log₁₀(12500) + 7−126.01 dBm
Interference to noise ratio, I/N−130 − (−126.01)−3.99 dB
I/N as a power ratio10^(−3.99/10)0.399
Desense10 log₁₀(1 + 0.399)1.46 dB

Interference about 4 dB below the noise floor still costs 1.46 dB of sensitivity: the floor rises to −124.55 dBm, so a wanted signal needs 1.46 dB more to keep the same SNR. Level with the floor, at −126.01 dBm, the desense would be 3.01 dB, and 10 dB above it, at −116.01 dBm, 10.41 dB. In free space, 1.46 dB of desense shortens the range by about 15 per cent.

FAQ

Frequently asked questions

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What is receiver desensitisation?

Desensitisation, or desense, is the loss of receiver sensitivity when unwanted power lands in the receiver passband and raises its noise floor. The receiver does not need to be tuned to the interferer, because broadband transmitter noise and reciprocal mixing both put noise across the band. The rise in noise floor, in dB, is the sensitivity lost.

How is desense calculated?

The interference power and the receiver noise floor are added as linear powers in the same bandwidth, and the desense is the rise above the original floor: D = 10 log₁₀ (1 + 10^((I − N)/10)). Interference 6 dB below the floor gives about 1 dB of desense, interference equal to the floor gives 3 dB, and well above the floor the desense is about how far the interference sits above it.

How much desense is acceptable?

It is set by the service's own protection criteria or by the system or site specification, not by one universal figure. For the fixed service, ITU-R F.758-8 Table 5 gives an aggregate interference to noise ratio of −6 dB between 30 MHz and 3 GHz and −10 dB above 3 GHz as the generally applicable values for long-term interference, which cost 0.97 dB and 0.41 dB of desense. Turned round, a 1 dB desense budget allows interference up to 5.87 dB below the noise floor, and a 0.5 dB budget up to 9.14 dB below it.

What causes desense at a shared site?

The usual causes are transmitter broadband noise, reciprocal mixing and front end overload. A nearby transmitter emits noise across a wide band that falls on the receive frequency, even though the carrier is on another channel. A strong off-channel carrier can also mix with the receiver's local oscillator phase noise to create noise in the passband. The calculator models these two, as well as any measured in-band interferer. It does not model the receiver's front end circuits, so overload by the same strong carrier is left out: a receiver's measured blocking figure covers both effects.

How much isolation do I need between a colocated transmitter and receiver?

Enough to bring the transmitter noise at the receive frequency below the level that gives your allowable desense. The calculator works this out from the desense budget, the transmitter power and its noise density, and shows the margin against the isolation you already have. Isolation for transmitter noise comes from antenna separation or from filtering at the transmitter output, such as a cavity or duplexer: noise already on the receive frequency cannot be filtered out at the receiver.

How does desense affect coverage range?

Desense reduces sensitivity dB for dB, which shortens the usable range. With a power-law path loss, the range shrinks to 10^(−D/(10n)) of its original value, where D is the desense and n the path loss exponent. In free space (n = 2), 1 dB of desense costs about 11 per cent of range and 3 dB about 29 per cent. The ITU-R site-general models (P.1411, P.1238) give other exponents over the distances they were fitted to.

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