This shows you the differences between two versions of the page.
— |
courses:ec330_2013:activercfilter [2013/01/17 02:47] (current) |
||
---|---|---|---|
Line 1: | Line 1: | ||
+ | ====== Active RC universal filter ====== | ||
+ | * **Goals:** | ||
+ | * Understand the operation of an active RC (i.e. opamp-RC) filter | ||
+ | * Use LF347 quad opamp for this experiment | ||
+ | ===== To be done before the lab session ===== | ||
+ | The circuit below can have inputs V<sub>i1,R</sub>, V<sub>i1,C</sub>, V<sub>i2,R</sub>, V<sub>i2,C</sub>, V<sub>i3,R</sub> and output V<sub>1</sub>, V<sub>2</sub>, V<sub>3</sub>. | ||
+ | |||
+ | Determine the following: | ||
+ | * Transfer functions for all input-output combinations. | ||
+ | * The components on which the resonance frequency and the quality factor depend on. | ||
+ | * The components on which the zeroes depend on. | ||
+ | * Component values for a bandpass filter (with V<sub>1</sub> as output) with a resonance frequency of 10kHz and a quality factor of 10. Determine where you will apply the input. | ||
+ | |||
+ | {{:courses:ec330:ttbiquad.png?600}} | ||
+ | |||
+ | ===== To be done in the lab session ===== | ||
+ | |||
+ | * Build a bandpass filter (with V<sub>1</sub> as output) for a resonance frequency of 10kHz and a quality factor of 10. Where will you apply the input? (Omit all unnecessary components from the circuit) Verify its operation. | ||
+ | * While keeping the circuit the same, can you take the output from a different point to realize a lowpass filter? Verify it. | ||
+ | * What are the minimum modifications required to get a notch filter output at V<sub>1</sub>? Verify it. | ||
+ | * Make the minimum modifications required to obtain a maximally flat lowpass response and verify it. A maximally flat all pole lowpass response has only the highest power of ω in the denominator of |H(jω)|<sup>2</sup>. | ||
+ | * Modify the above circuit to get a highpass filter output at V<sub>1</sub>? Verify it. | ||
+ | * Restore the circuit to the bandpass filter in the first part. Replace the opamp LF347 with LM324 which has an identical pin configuration(hopefully you don't have a mess of wires running over the chip!) What do you see? Why? | ||
+ | |||
+ | * **Applications:** Active RC filters are the most popular topologies of RC filters. For example, they are used as intermediate frequency filters in radio receivers(=radios, mobile phones, GPS, ...). At very high frequencies, active RC filters cannot be realized because of difficulties in realizing stable feedback loops with high gains, and g<sub>m</sub>-C filters are used instead. |