Noise modeling in BJTs: How many fundamental noise sources are typically modeled for a bipolar junction transistor in small-signal analysis?

Difficulty: Medium

Correct Answer: 2

Explanation:


Introduction / Context:
Accurate noise modeling is crucial for low-noise amplifiers and precision analog design. For small-signal BJTs, an equivalent input-referred noise model captures the essential random processes with a minimal set of sources.


Given Data / Assumptions:

  • Small-signal, midband operation.
  • Equivalent noise model uses input-referred sources.
  • Low-frequency 1/f noise may be considered separately.


Concept / Approach:
In the widely used two-source model, a BJT is represented by an input-referred noise voltage source (primarily due to base resistance thermal noise and correlated effects) in series with the input, and an input-referred noise current source (primarily due to base/collector shot noise) in parallel with the input. These two sources are sufficient to predict output noise with source resistance and circuit gain.


Step-by-Step Solution:

Represent base spreading resistance thermal noise as an equivalent voltage source v_n.Represent base/collector junction shot noise as an equivalent current source i_n at the input.Use standard noise analysis to compute total output noise given source resistance and transfer functions.


Verification / Alternative check:
Many texts present more detailed physical sources (thermal, shot, flicker), but the input-referred representation condenses them to two uncorrelated sources for most design calculations.


Why Other Options Are Wrong:

1: inadequate to capture both voltage and current noise contributions.3 or 4: overcounts relative to the standard compact two-source representation used in design.


Common Pitfalls:

Confusing physical processes (shot, thermal, flicker) with the simplified input-referred model (two sources).


Final Answer:

2

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