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Noise Filtering Using €1 Filter (2020)

92 点作者 dsego6 个月前

8 条评论

duped6 个月前
Why are we reinventing wheels and giving them bad names<p>This is an exponential moving average aka first order average and has been used for decades. It&#x27;s introductory material in any DSP class.<p>There are multiple varying derivations of the coefficients that have different meanings, the best one for this example would be as an approximation of an N-point moving average (derivation of that is an exercise to the reader, but it&#x27;s like five minutes of whiteboarding)
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tobinfricke6 个月前
This has the same vibes as &quot;Tan&#x27;s method&quot;, wherein someone managed to rediscover and publish the well-known trapezoidal rule for integration from Calculus in a medical journal<p><a href="https:&#x2F;&#x2F;academia.stackexchange.com&#x2F;questions&#x2F;9602&#x2F;rediscovery-of-calculus-in-1994-what-should-have-happened-to-that-paper" rel="nofollow">https:&#x2F;&#x2F;academia.stackexchange.com&#x2F;questions&#x2F;9602&#x2F;rediscover...</a>
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Tade06 个月前
I &quot;invented&quot; this filter in middle school when I was deep into audio processing but didn&#x27;t have the theoretical foundations yet.<p>Adding a βX_{i-2} term allows for a filter with sharper cutoff, but makes determining the parameters more difficult.<p>The Z-transform is helpful here:<p><a href="https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Z-transform" rel="nofollow">https:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Z-transform</a>
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roger_6 个月前
A normal EWMA filter is a special case of a Kalman filter and I bet this could be re-cast as one too. Might need an extra state or adaptive process noise though.
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CasperH2O6 个月前
We&#x27;ve been happily using this algorithm for motion sensor (IMU, gyroscope and accelerometer) filtering to game control input for some time in the open source application Handheld Companion [1].<p>There&#x27;s also another nice page with explanation on how to tune the parameters [2] and there&#x27;s a great visual with your mouse [3].<p>[1] <a href="https:&#x2F;&#x2F;github.com&#x2F;Valkirie&#x2F;HandheldCompanion">https:&#x2F;&#x2F;github.com&#x2F;Valkirie&#x2F;HandheldCompanion</a><p>[2] <a href="https:&#x2F;&#x2F;gery.casiez.net&#x2F;1euro&#x2F;" rel="nofollow">https:&#x2F;&#x2F;gery.casiez.net&#x2F;1euro&#x2F;</a><p>[3] <a href="https:&#x2F;&#x2F;gery.casiez.net&#x2F;1euro&#x2F;InteractiveDemo&#x2F;" rel="nofollow">https:&#x2F;&#x2F;gery.casiez.net&#x2F;1euro&#x2F;InteractiveDemo&#x2F;</a>
echoangle6 个月前
The title on HN includes „€1“, the original uses the „1€“ (which makes more sense I think, even when considering the reference to $1).
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rzzzt6 个月前
Patient following of links resolves the mystery I&#x27;m sure everyone is asking:<p><pre><code> The ‘1€’ name is an homage to the $1 recognizer [10]: we believe that the 1€ filter can make filtering input signals simpler and better, much like the $1 recognizer did for gestures </code></pre> <a href="https:&#x2F;&#x2F;dl.acm.org&#x2F;doi&#x2F;10.1145%2F2207676.2208639?cid=81100168597" rel="nofollow">https:&#x2F;&#x2F;dl.acm.org&#x2F;doi&#x2F;10.1145%2F2207676.2208639?cid=8110016...</a>
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meindnoch6 个月前
Ok. And where&#x27;s the Bode plot?
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