Question
Wilhelm Cauer, who designed an “elliptic” type of these devices, also names a ladder topology used to create them from inductors and capacitors. For 10 points each:
[10e] Name these devices that are designed to stop all frequencies in their stopband. The “low-pass” type of these devices allows low-frequency signals to pass through.
ANSWER: filters [accept low-pass filters or elliptic filters]
[10m] Butterworth filters are designed to maintain a flat frequency response in the passband as compared to this Russian scientist’s namesake filters, whose poles are found using his namesake polynomials denoted by “T sub n.”
ANSWER: Pafnuty Chebyshev [or Pafnuty Lvovich Chebyshev; accept Chebyshev filters or Chebyshev polynomials]
[10h] Butterworth filters have a worse value of this quantity than Chebyshev filters, meaning that the stopband is not as well-defined because the response has a smaller slope at its edges.
ANSWER: roll-off
<Physics>
Summary
2024 ACF Nationals | 2024-04-21 | Y | 20 | 17.50 | 95% | 80% | 0% |
Data
Arizona State | Cornell B | 10 | 10 | 0 | 20 |
Berkeley B | Virginia | 10 | 0 | 0 | 10 |
Brown | Chicago C | 10 | 10 | 0 | 20 |
Illinois | Columbia A | 10 | 0 | 0 | 10 |
Columbia B | Waterloo | 10 | 10 | 0 | 20 |
Chicago D | Cornell A | 10 | 10 | 0 | 20 |
Duke | NYU | 10 | 0 | 0 | 10 |
Georgia Tech | WUSTL B | 10 | 10 | 0 | 20 |
Harvard | Johns Hopkins | 10 | 10 | 0 | 20 |
Kentucky | Iowa State | 10 | 0 | 0 | 10 |
Michigan | North Carolina B | 10 | 10 | 0 | 20 |
Claremont Colleges | Minnesota A | 10 | 10 | 0 | 20 |
Rutgers | Minnesota B | 10 | 10 | 0 | 20 |
Indiana | North Carolina A | 10 | 10 | 0 | 20 |
McGill | Ottawa | 0 | 10 | 0 | 10 |
Stanford | Penn | 10 | 10 | 0 | 20 |
Northwestern | Vanderbilt | 10 | 10 | 0 | 20 |
Chicago B | WUSTL A | 10 | 10 | 0 | 20 |
Yale A | Chicago A | 10 | 10 | 0 | 20 |
Purdue | Yale B | 10 | 10 | 0 | 20 |