229-A2.2

Activity: Noise Analysis

• Instructions: This activity is structured as a tutorial with a design problem at the end. Should you have any questions, clarifications, or issues, please contact your instructor as soon as possible.
• At the end of this activity, the student should be able to:

1. Understand and observe the effects of noise in electronic circuits.

Simulating Resistor Noise

Consider a simple RC circuit shown in Fig. 1. The noise generated by the resistor is:

${\overline {v_{R}^{2}}}=4kTR\Delta f$

(1)

Thus, for a resistor $R=1\mathrm {k\Omega }$ and a temperature $T=300K$, and with $k=1.38\times 10^{-23}\mathrm {\tfrac {J}{K}}$the spot noise is equal to:

${\frac {\overline {v_{R}^{2}}}{\Delta d}}=4kTR=1.66\times 10^{-17}$

(2)

Thus, the total output integrated noise, shaped by the transfer function of the RC circuit is: