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How does a differential pair amplify the difference between two input signals while rejecting common-mode noise?

1 Answer

A differential pair is a fundamental building block in analog electronics and is commonly used in amplifier and signal processing circuits. It consists of two transistors (usually bipolar junction transistors or field-effect transistors) that are connected in a configuration that amplifies the voltage difference between two input signals while rejecting any common-mode noise present in those signals. Let's explore how this works:

Differential Amplification:
When two input signals, Vin+ and Vin-, are applied to the bases (in the case of BJTs) or gates (in the case of FETs) of the two transistors, their base-emitter or gate-source voltages vary accordingly. This leads to a corresponding variation in the collector (for BJTs) or drain (for FETs) currents of the transistors. Since the transistors are in a differential configuration, they respond to the voltage difference (Vdiff) between Vin+ and Vin-, amplifying this difference in the output stage.

The output voltage, Vout, is taken from the collectors or drains of the two transistors. The voltage difference between these points is the amplified difference between the two input signals. In an ideal scenario, when only differential input signals are present, the common-mode signals (signals that are present in both inputs with equal magnitude and phase) will be canceled out, and only the differential signal will appear at the output.

Common-Mode Rejection:
One of the key advantages of a differential pair is its ability to reject common-mode noise. Common-mode noise is any unwanted signal that appears in both input signals with the same magnitude and phase. Examples include interference from external sources or power supply noise. When common-mode signals are present, they affect both transistors in the differential pair similarly, causing equal and opposite changes in the collector or drain currents of the transistors.

Since the differential pair amplifies the voltage difference between its inputs, any common-mode signals will be treated as part of the common-mode gain, which should ideally be very small. In a well-designed differential pair, the common-mode gain is minimized, resulting in significant rejection of common-mode noise. This is critical in applications where noise rejection is essential, such as in audio circuits or data communication systems.

By carefully engineering the biasing and configuration of the differential pair, designers can optimize its performance for differential amplification while ensuring robust common-mode rejection.

Balanced Operation:
To achieve proper differential amplification and common-mode noise rejection, it's crucial to maintain balanced operation in the differential pair. This means ensuring that the two transistors are matched in terms of their characteristics (e.g., threshold voltage, transconductance, etc.) and that the biasing conditions are symmetrical.

In summary, a differential pair amplifies the voltage difference between two input signals while effectively canceling out common-mode noise. This makes it a fundamental component in various electronic circuits where amplification and noise rejection are critical, such as in operational amplifiers, instrumentation amplifiers, and communication interfaces.
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