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feat: TODOs; clean up precision pitfall section

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Martin Kennedy 2025-03-30 15:38:24 -04:00
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Midterm.md
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@ -1,4 +1,8 @@
# Fun with Signals # Audio Visualization for less than $10!
## TODO: introduction
## TODO: Block diagram
## Input signal: ["Line level"](https://en.wikipedia.org/wiki/Line_level) ## Input signal: ["Line level"](https://en.wikipedia.org/wiki/Line_level)
@ -107,20 +111,19 @@ For example, $G_2 = 440 \times 2^{\left(\frac{-26}{12}\right)} \approx 98 \ \tex
- How precise should I be? - How precise should I be?
<details> Because of the *quality factor* ($Q$) of the band-pass Because of the *quality factor* ($Q$) of the band-pass filters we're
filters we're going to construct, the precision of your measurement going to construct, the precision of your measurement here is not
here is not important past the first one or two significant important past the first one or two significant figures. If you
figures. If you can't tell between 800 Hz and 810 Hz, don't fret can't tell between 800 Hz and 810 Hz, don't fret it. (Get it? Fret?)
it. (Get it? Fret?) </details>
#### Our values #### Our values
| A440, note | Frequency, Hz | Frequency, rad./s | | A440, note | Frequency, Hz | Frequency, rad./s |
|-----------|---------------|-------------------| |------------|---------------|-------------------|
| $G_4$ | 392 | 2463 | | $G_2$ | 98 | 616 |
| $G_2$ | 98 | | | $G_4$ | 392 | 2463 |
| $G_8$ | 5588 | 35108 | | $G_8$ | 5588 | 35108 |
### An aside about the attributes of passive bandpass filters ### An aside about the attributes of (passive) bandpass filters
Band-pass filters .,.,. TODO: Band-pass filters .,.,.