224-A1

• Activity: Filter Design

1. You are tasked to design an active 7th-order low-pass Butterworth filter using op-amp integrators, with $f_{-3{\text{dB}}}=1\,\mathrm {MHz}$ and $R_{S}=R_{L}=1\,\mathrm {\Omega }$. The gain of the active filter should be set to 1 (0 dB), and should have an output RMS noise voltage of $100\,\mathrm {\mu V}$.
2. Verify your design by simulating it using SPICE (ngspice or the SPICE simulator of your choice). Include a comparison between the magnitude response of the passive and active filter implementations.
3. You need to submit a report detailing all your steps, and submit it via email.
4. We will allot 2 weeks for this exercise.
5. Let me know if you have any questions. Good luck!

You can use the table below:

Figure 1: Butterworth LC element values.