In this post we calculate the sensitivity of a Frequency Modulation Radio Receiver.

Sensitivity is the minimum power of an RF signal that can be detected by a receiver. It depends on noise figure and minimum required Signal-to-Noise Ratio (SNR).

The SNR depends on the modulation format. Typically the SNR increases with the complexity of modulation. For instance digital modulation formats typically require higher levels of SNR than analog modulation. As well, higher order modulations have greater requirements than lower order ones. For instance 1024 QAM requires more SNR than 64 QAM.

In general, radio systems that are more sensitive cost more to build than those that are less sensitive. This is because they take better quality RF components such as low noise amplifiers, filters and oscillators – all of which contribute to noise. The lower the noise figure of these circuit components, the lower the noise and the higher the SNR.

## FM Sensitivity Values in dBm, Volt and dBf

The sensitivity of an FM tuner is sometimes specified in dBf (deciBel relative to Femtowatt). For instance the Clarion tuner has a sensitivity of 8 dBf. A level between 8 dBf and 12 dBf is considered very good.

Use the dBf to dBm calculator to find that this equates to -112 dBm.

-112 dBm converts to

• 0.56 μV for a 50 ohm impedance
• 0.69 μV for 75 ohm

Note that is the Root-mean-square or RMS voltage

## Sensitivity of FM chips

It’s difficult to find the sensitivity numbers in many of the FM data sheets that we came across online. However the Si4720 is an exception.

Below is an excerpt from the data sheet

The sensitivity in a 50 ohm system with an SNR of 26 dB is 1.1 μV. This converts to -106 dBm. Using the dBm to dBf calculator, the equivalent is 14 dBf.

The sensitivity for Radio Data System operation is 15 μV which equates to -83 dBm or 37 dBf.