BeginnerTopic 16 of 104Electronics & Embedded
Small-signal models
Linearised transistor models using gm and ro for AC analysis.
In depth
Linearising around the Q-point yields g_m, r_π, r_o (BJT) or g_m, r_o (MOSFET). Hybrid-π and T models enable AC gain, input/output impedance and bandwidth calculations. DC and AC analyses are separated by superposition.
Key points
- Short-circuit DC sources for AC
- High-frequency models add capacitances
- Valid for small signals only
Exampleg_m=40·I_C for a BJT at room temperature (A/V per A).
Small-signal models let you predict how an amplifier responds to small AC signals, which is the basis of gain, bandwidth and impedance design.
What is Small-signal models?
Linearised transistor models using gm and ro for AC analysis.
Why is it important to understand small-signal models?
Small-signal models let you predict how an amplifier responds to small AC signals, which is the basis of gain, bandwidth and impedance design.
What is transconductance?
The change in output current per change in input voltage, gm, which sets the gain of a transistor stage.
Why is the small-signal model linear?
It linearises the device around its operating point, which is valid as long as the AC signal stays small.
How is Small-signal models used in practice?
Typical applications include calculating the gain of a transistor amplifier at mid-band, finding the input and output impedance of a common-source stage and estimating the frequency response of a feedback amplifier.
What should I learn before Small-signal models?
Study "CMOS inverter" first (topic 15 of 104 in Electronics & Embedded). It covers the groundwork this topic builds on.
What are the key points of Small-signal models?
Short-circuit DC sources for AC. High-frequency models add capacitances. Valid for small signals only.
Can you give an example of Small-signal models?
g_m=40·I_C for a BJT at room temperature (A/V per A).
What comes after Small-signal models?
The next topic is "Operational amplifier", which builds directly on this one.
How difficult is Small-signal models?
It is classed as Beginner in Electronics & Embedded (topic 16 of 104). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.