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Merge pull request #408 from jclsn/fix/typos-in-dvs-internals3
dvs-internals3: Fix typos
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content/news/2025-08-27-dvs-internals-pt3.md

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@@ -157,7 +157,7 @@ caused by mechanical drift.
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Interestingly, the Traktor MK2 system also uses a [Linear Feedback Shift Register](https://en.wikipedia.org/wiki/Linear-feedback_shift_register) - but with different properties. While Serato’s LFSR has a
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**20-bit** length, Traktor’s uses a **110-bit** register with a minimum
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run length of two symbols. The generator polynomial of the the LFSR was found
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run length of two symbols. The generator polynomial of the LFSR was found
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by using the [Berlekamp-Massey algorithm](https://en.wikipedia.org/wiki/Berlekamp%E2%80%93Massey_algorithm).
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The number of unique states an LFSR can generate is:
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That’s an astronomically high number-far beyond what’s required for this
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application.
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But how many states are actually needed? With a 2500 Hz carrier, you get 2500 bits per second.<br>
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But how many states are actually needed? With a 2500 Hz carrier, you get 2500 bits per second.<br>
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For 12 minutes of timecode:
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$$4\,500\,000 \text{ states} \cdot 128 \text{ bit} = 576\,000\,000 \text{ bit} = 72\,000\,000 \text{ byte} = 68.66 \text{ MB}$$
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> **Disadvantage:** The memory footprint is large-even a single side of timecode can exceed 27 MB.
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> **Disadvantage:** The memory footprint is large - even a single side of timecode can exceed 27 MB.
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This makes storing a full lookup table impractical in production software.
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