Common-Mode Rejection Ratio (CMRR)

The common-mode rejection ratio (CMRR) in a differential amplifier serves as a measure of the amplifier’s ability to reject unwanted common-mode signals, such as noise. It is defined as the ratio of the differential gain (Av(d)) to the common-mode gain (Acm).

Common-Mode Rejection Ratio (CMRR)

A higher CMRR indicates better performance, as it implies a higher differential gain and lower common-mode gain. In practical terms, a CMRR of 10,000, for instance, means that the desired differential input signal is amplified 10,000 times more than unwanted common-mode noise. This ratio is crucial in eliminating noise or interference, contributing to the overall effectiveness of the differential amplifier.

This ratio is the Common-Mode Rejection Ratio, CMRR.

CMRR=Av(d)/Acm

The higher the CMRR, the better. A very high value of CMRR means that the differential gain Av(d) is high and the common-mode gain Acm is low.

The CMRR is often expressed in decibels (dB) as:

CMRR (dB)=20log10(Av(d)​/Acm)

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