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authorjaseg <git@jaseg.net>2018-05-19 14:43:28 +0200
committerjaseg <git@jaseg.net>2018-05-19 14:43:47 +0200
commit7bc656ca2a026d91a845dd4d8bfeb812021cdf4d (patch)
tree4f1896fe65afc9079e766602184cf0126d29913a /docs
parent24ad9ee7a0a8095d56c330a39321f40dee020dcb (diff)
downloadblog-7bc656ca2a026d91a845dd4d8bfeb812021cdf4d.tar.gz
blog-7bc656ca2a026d91a845dd4d8bfeb812021cdf4d.tar.bz2
blog-7bc656ca2a026d91a845dd4d8bfeb812021cdf4d.zip
Add multichannel LED driver post
Diffstat (limited to 'docs')
-rw-r--r--docs/404.html74
-rw-r--r--docs/categories/index.html78
-rw-r--r--docs/categories/index.xml14
-rw-r--r--docs/css/fonts.css7
-rw-r--r--docs/css/style.css211
-rw-r--r--docs/images/daylight_spectrum_dvd.jpgbin79150 -> 0 bytes
-rw-r--r--docs/images/driver_ringing_strong.jpgbin285952 -> 0 bytes
-rw-r--r--docs/images/driver_ringing_weak.jpgbin292100 -> 0 bytes
-rw-r--r--docs/images/electronics_whole.jpgbin438776 -> 0 bytes
-rw-r--r--docs/images/hsv_cylinder.pngbin293981 -> 0 bytes
-rw-r--r--docs/images/preamp_back.jpgbin340446 -> 0 bytes
-rw-r--r--docs/images/preamp_front.jpgbin308167 -> 0 bytes
-rw-r--r--docs/images/preamp_schematic.jpgbin277414 -> 0 bytes
-rw-r--r--docs/images/processed_plot_cheap_rgb.svg2453
-rw-r--r--docs/images/raw_plot_cheap_rgb.svg2574
-rw-r--r--docs/images/rgb_cube.svg222
-rw-r--r--docs/images/spectrograph_step1_parts.jpgbin284254 -> 0 bytes
-rw-r--r--docs/images/spectrograph_step2.jpgbin277234 -> 0 bytes
-rw-r--r--docs/images/spectrograph_step3.jpgbin256192 -> 0 bytes
-rw-r--r--docs/images/spectrograph_step4_complete.jpgbin303777 -> 0 bytes
-rw-r--r--docs/images/zeus_hammer_breadboard.jpgbin445768 -> 0 bytes
-rw-r--r--docs/images/zeus_hammer_breadboard_original.jpgbin2474273 -> 0 bytes
-rw-r--r--docs/images/zeus_hammer_schematic.jpgbin148056 -> 0 bytes
-rw-r--r--docs/images/zeus_hammer_schematic_original.jpgbin1893757 -> 0 bytes
-rw-r--r--docs/index.html101
-rw-r--r--docs/index.xml52
-rw-r--r--docs/posts/index.html102
-rw-r--r--docs/posts/index.xml52
-rw-r--r--docs/posts/led-characterization/index.html459
-rw-r--r--docs/posts/multichannel-led-driver/index.html94
-rw-r--r--docs/posts/wifi-led-driver/index.html94
-rw-r--r--docs/posts/zeus-hammer/index.html117
-rw-r--r--docs/sitemap.xml47
-rw-r--r--docs/tags/index.html78
-rw-r--r--docs/tags/index.xml14
-rw-r--r--docs/video/led_within_srgb_fancy_camera_path_scale=2.5.mkvbin2676955 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_fancy_camera_path_scale=2.5.webmbin1822963 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=1.0.mkvbin1223799 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=1.0.webmbin789099 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=2.5.mkvbin1559120 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=2.5.webmbin920089 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=3.mkvbin1709475 -> 0 bytes
-rw-r--r--docs/video/led_within_srgb_scale=3.webmbin925593 -> 0 bytes
-rw-r--r--docs/video/sRGB.mkvbin1269287 -> 0 bytes
-rw-r--r--docs/video/sRGB.webmbin791821 -> 0 bytes
-rw-r--r--docs/video/scale=1.mkvbin1011548 -> 0 bytes
-rw-r--r--docs/video/scale=1.webmbin758345 -> 0 bytes
-rw-r--r--docs/video/scale=2.5.mkvbin1296564 -> 0 bytes
-rw-r--r--docs/video/scale=2.5.webmbin882674 -> 0 bytes
-rw-r--r--docs/video/scale=5.mkvbin1571645 -> 0 bytes
-rw-r--r--docs/video/scale=5.webmbin879476 -> 0 bytes
51 files changed, 0 insertions, 6843 deletions
diff --git a/docs/404.html b/docs/404.html
deleted file mode 100644
index bb77343..0000000
--- a/docs/404.html
+++ /dev/null
@@ -1,74 +0,0 @@
-<!DOCTYPE html>
-<html lang="en-us">
- <head>
- <meta charset="utf-8">
- <meta name="viewport" content="width=device-width, initial-scale=1">
- <title>404 Page not found | jaseg.net</title>
- <link rel="stylesheet" href="/css/style.css" />
- <link rel="stylesheet" href="/css/fonts.css" />
-
- <header>
-
-
- <link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.12.0/styles/atom-one-light.min.css">
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- </head>
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- for (var i = 0; i < tagNames.length; i++) {
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- <div id="license-info">
- &#169;2018 by Sebastian Götte. This work is licensed under
- <a href="https://creativecommons.org/licenses/by-sa/4.0/">CC-BY-SA 4.0</a>.
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- </body>
-</html>
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diff --git a/docs/categories/index.html b/docs/categories/index.html
deleted file mode 100644
index 4509997..0000000
--- a/docs/categories/index.html
+++ /dev/null
@@ -1,78 +0,0 @@
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-<html lang="en-us">
- <head>
- <meta charset="utf-8">
- <meta name="viewport" content="width=device-width, initial-scale=1">
- <title>Categories | jaseg.net</title>
- <link rel="stylesheet" href="/css/style.css" />
- <link rel="stylesheet" href="/css/fonts.css" />
-
- <header>
-
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- <link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.12.0/styles/atom-one-light.min.css">
- <script src="//cdnjs.cloudflare.com/ajax/libs/highlight.js/9.12.0/highlight.min.js"></script>
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- <body>
- <br/>
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-<h1>Categories</h1>
-
-<ul class="terms">
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- var tags = document.getElementsByTagName(tagName), i, tag;
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- var tagNames = ['img', 'embed', 'object'];
- for (var i = 0; i < tagNames.length; i++) {
- center_el(tagNames[i]);
- }
-})();
-</script>
-
-
- <div id="license-info">
- &#169;2018 by Sebastian Götte. This work is licensed under
- <a href="https://creativecommons.org/licenses/by-sa/4.0/">CC-BY-SA 4.0</a>.
- </div>
- </footer>
- </body>
-</html>
-
diff --git a/docs/categories/index.xml b/docs/categories/index.xml
deleted file mode 100644
index 485ed46..0000000
--- a/docs/categories/index.xml
+++ /dev/null
@@ -1,14 +0,0 @@
-<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
-<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
- <channel>
- <title>Categories on jaseg.net</title>
- <link>https://jaseg.net/categories/</link>
- <description>Recent content in Categories on jaseg.net</description>
- <generator>Hugo -- gohugo.io</generator>
- <language>en-us</language>
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- <atom:link href="https://jaseg.net/categories/index.xml" rel="self" type="application/rss+xml" />
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deleted file mode 100644
index c851143..0000000
--- a/docs/css/fonts.css
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deleted file mode 100644
index 07b1293..0000000
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- line-height: 20pt;
- font-size: 12pt;
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- text-shadow: 0px 1px 1px #fe3ea0;
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-.article-meta h1, .article-meta h2 {
- margin-top: 1em;
- color: white;
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-.terms { font-size: .9em; }
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- float: left
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- color: #ff6bb6;
- text-decoration: none;
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- background: #83cbe3;
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- position: relative;
- width: 100%;
- height: 1.75rem;
- font-size: .875rem;
- background: #83cbe3;
- font-family: 'Baloo', sans-serif;
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- /* color: #ff99cc; */
- color: #ff6bb6;
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-li {
- padding-bottom: 1em;
-}
-
-header ul,
-header ol {
- margin: 0;
- padding: 0;
- list-style: none
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-header nav {
- padding: 0 0.5rem
-}
-
-header a {
- color: #fff;
- line-height: 1.75rem;
- padding: 0 0.5rem
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-header a:hover,
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- color: #fff
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-/* Code Boxes */
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- border: 1px solid #ddd;
- box-shadow: 5px 5px 5px #eee;
- background: #f8f8f8;
- padding: 1em;
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- text-align: justify;
- word-wrap: break-word;
- font-family: "Source Serif Pro", "Times New Roman", serif;
- color: #555;
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- color: white;
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-a::selection {
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- padding: 3px 1em 3px;
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index d01242e..0000000
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diff --git a/docs/images/driver_ringing_strong.jpg b/docs/images/driver_ringing_strong.jpg
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diff --git a/docs/images/electronics_whole.jpg b/docs/images/electronics_whole.jpg
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- <span class="date">2018/05/03</span>
- <a href="/posts/zeus-hammer/">Zeus Hammer</a>
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-
- <li>
- <span class="date">2018/05/02</span>
- <a href="/posts/multichannel-led-driver/">Multichannel Led Driver</a>
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-
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- <span class="date">2018/05/02</span>
- <a href="/posts/wifi-led-driver/">Wifi Led Driver</a>
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- <span class="date">2018/05/02</span>
- <a href="/posts/led-characterization/">Led Characterization</a>
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-
-
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- <li>
- <span class="date">2018/05/03</span>
- <a href="/posts/zeus-hammer/">Zeus Hammer</a>
- </li>
-
- <li>
- <span class="date">2018/05/02</span>
- <a href="/posts/multichannel-led-driver/">Multichannel Led Driver</a>
- </li>
-
- <li>
- <span class="date">2018/05/02</span>
- <a href="/posts/wifi-led-driver/">Wifi Led Driver</a>
- </li>
-
- <li>
- <span class="date">2018/05/02</span>
- <a href="/posts/led-characterization/">Led Characterization</a>
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diff --git a/docs/posts/index.xml b/docs/posts/index.xml
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-<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
-<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
- <channel>
- <title>Posts on jaseg.net</title>
- <link>https://jaseg.net/posts/</link>
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-
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- <item>
- <title>Zeus Hammer</title>
- <link>https://jaseg.net/posts/zeus-hammer/</link>
- <pubDate>Thu, 03 May 2018 11:59:37 +0200</pubDate>
-
- <guid>https://jaseg.net/posts/zeus-hammer/</guid>
- <description>In case you were having an inferiority complex because your friends&#39; IBM Model M keyboards are so much louder than the shitty rubber dome freebie you got with your pc... Here&#39;s the solution: Zeus Hammer, a simple typing cadence enhancer for PS/2 keyboards.
-The connects to the keyboard&#39;s PS/2 clock line and briefly actuates a large solenoid on each key press. An interesting fact about PS/2 is that the clock line is only active as long as either the host computer or the input device actually want to send data.</description>
- </item>
-
- <item>
- <title>Multichannel Led Driver</title>
- <link>https://jaseg.net/posts/multichannel-led-driver/</link>
- <pubDate>Wed, 02 May 2018 11:31:14 +0200</pubDate>
-
- <guid>https://jaseg.net/posts/multichannel-led-driver/</guid>
- <description></description>
- </item>
-
- <item>
- <title>Wifi Led Driver</title>
- <link>https://jaseg.net/posts/wifi-led-driver/</link>
- <pubDate>Wed, 02 May 2018 11:31:03 +0200</pubDate>
-
- <guid>https://jaseg.net/posts/wifi-led-driver/</guid>
- <description></description>
- </item>
-
- <item>
- <title>Led Characterization</title>
- <link>https://jaseg.net/posts/led-characterization/</link>
- <pubDate>Wed, 02 May 2018 11:18:38 +0200</pubDate>
-
- <guid>https://jaseg.net/posts/led-characterization/</guid>
- <description>Preface Recently, I have been working on a small driver for ambient lighting using 12V LED strips like you can get inexpensively from China. I wanted to be able to just throw one of these somewhere, stick down some LED tape, hook it up to a small transformer and be able to control it through Wifi. When I was writing the firmware, I noticed that when fading between different colors, the colors look all wrong!</description>
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-<div class="article-meta">
-<h1><span class="title">Led Characterization</span></h1>
-
-<h2 class="date">2018/05/02</h2>
-<p class="terms">
-
-
-
-
-
-</p>
-</div>
-
-
-
-<main>
-<div class="document">
-
-
-<div class="section" id="preface">
-<h2>Preface</h2>
-<p>Recently, I have been working on a <a class="reference external" href="https://jaseg.net/posts/wifi-led-driver/">small driver</a> for ambient lighting using 12V LED strips like you can get
-inexpensively from China. I wanted to be able to just throw one of these somewhere, stick down some LED tape, hook it up
-to a small transformer and be able to control it through Wifi. When I was writing the firmware, I noticed that when
-fading between different colors, the colors look <em>all wrong</em>! This observation led me down a rabbit hole of color
-perception and LED peculiarities.</p>
-<p>The idea of the LED driver was that it can be used either with up to eight single-color LED tapes or, much more
-interesting, with up to two RGB or RGBW (red-green-blue-white) LED tapes. For ambient lighting high color resolution was
-really important so you could dim it down a lot without flickering. I ended up using the same driver stage I used in the
-<a class="reference external" href="https://jaseg.net/posts/multichannel-led-driver/">multichannel LED driver</a> project for its great color resolution and low hardware requirements.</p>
-<figure>
- <img src="/images/rgb_cube.svg" alt="An illustration of the RGB color cube.">
- <figcaption>An illustration of the RGB color cube.
- <a href="https://commons.wikimedia.org/wiki/File:RGB_color_cube.svg">Picture</a> by
- <a href="https://commons.wikimedia.org/wiki/User:Maklaan">Maklaan from Wikimedia Commons</a>,
- <a href="https://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA 3.0</a>
- </figcaption>
-</figure><p>To make setting colors over Wifi more intuitive I implemented support for HSV colors. RGB is fine for communication
-between computers, but I think HSV is easier to work with when manually inputting colors from the command line. RGB is
-close to how most monitors, cameras and the human visual apparatus work on a very low level but doesn't match
-higher-level human color perception very well. When we describe a color we tend to think in terms of &quot;hue&quot; or
-&quot;brightness&quot;, and computing a measure of those from RGB values is not easy.</p>
-</div>
-<div class="section" id="colors-and-color-spaces">
-<h2>Colors and Color Spaces</h2>
-<p><a class="reference external" href="https://en.wikipedia.org/wiki/Color_space">Color spaces</a> are a mathematical abstraction of the concept of color. When we say &quot;RGB&quot;, most of the time we actually
-mean <a class="reference external" href="https://en.wikipedia.org/wiki/SRGB">sRGB</a>, a standardized notion of how to map three numbers labelled &quot;red&quot;, &quot;green&quot; and &quot;blue&quot; onto a perceived
-color. <a class="reference external" href="https://en.wikipedia.org/wiki/HSL_and_HSV">HSV</a> is an early attempt to more closely align these numbers with our perception. After HSV, a number of other
-<em>perceptual</em> color spaces such as <a class="reference external" href="https://en.wikipedia.org/wiki/CIE_1931_color_space">XYZ (CIE 1931)</a> and <a class="reference external" href="https://en.wikipedia.org/wiki/Lab_color_space">CIE Lab/LCh</a> were born, further improving this alignment. In
-this mathematical model, mapping a color from one color space into another color space is just a coordinate
-transformation.</p>
-<figure>
- <img src="/images/hsv_cylinder.png" alt="An illustration of the HSV color space as a cylinder.">
- <figcaption>An illustration of the HSV color space as a cylinder.
- <a href="https://commons.wikimedia.org/wiki/File:HSV_color_solid_cylinder.png">Picture</a> by
- <a href="https://commons.wikimedia.org/wiki/User:SharkD">SharkD from Wikimedia Commons</a>,
- <a href="https://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA 3.0</a>
- </figcaption>
-</figure><p>CIE 1931 XYZ is much larger than any other color space, which is why it is a good basis to express other color spaces
-in. In XYZ there are many coordinates that are outside of what the human eye can perceive. Below is an illustration of
-the sRGB space within XYZ. The wireframe cube is (0,0,0) to (1,1,1) in XYZ. The colorful object in the middle is what
-of sRGB fits inside XYZ, and the lines extending out from it indicate the space that can be expressed in sRGB but not in
-XYZ. The fat white curve is a projection of the <em>monochromatic spectral locus</em>, that is the curve of points you get in
-XYZ for pure visible wavelengths.</p>
-<p>As you can see, sRGB is <em>much</em> smaller than XYZ or even the part within the monochromatic locus that we can perceive. In
-particular in the blues and greens we loose <em>a lot</em> of colors to sRGB.</p>
-<figure>
- <video controls loop>
- <source src="/video/sRGB.mkv" type="video/h264">
- <source src="/video/sRGB.webm" type="video/webm">
- Your browser does not support the HTML5 video tag.
- </video>
- <figcaption>Illustration of the measured sRGB color space within XYZ. The thick, white line is the spectral
- locus.
-
- <a href="/video/sRGB.mkv">mkv/h264 download</a> /
- <a href="/video/sRGB.webm">webm download</a>
- </figcaption>
-</figure><p>The wrong colors I got when fading between colors were caused by this coordinate transformation being askew. Thinking
-over the problem, there are several sources for imperfections:</p>
-<ul class="simple">
-<li>The LED driver may not be entirely linear. For most modulations such as PWM the brightness will be linear starting
-from a certain value, but there is probably an offset caused by imperfect edges of the LED current. This offset can be
-compensated with software calibration. I built a calibration setup for driver linearity in the <a class="reference external" href="https://jaseg.net/posts/multichannel-led-driver/">multichannel LED
-driver</a> project. Below are pictures of ringing on the edges of an LED driver's waveform.</li>
-<li>The red, green and blue channels of the LEDs used on the LED tape are not matched. This skews the RGB color space.
-In practice, the blue channel of my RGB tape to me <em>looks</em> much brighter than the red channel.</li>
-<li>The precise colors of the red, green and blue channels of the LEDs are unknown. Though the red channel <em>looks</em> red, it
-may be of a slightly different hue compared to the reference red used in <a class="reference external" href="https://en.wikipedia.org/wiki/SRGB">sRGB</a> which would also skew the RGB color
-space.</li>
-</ul>
-<figure>
- <figure class="side-by-side">
- <img src="/images/driver_ringing_strong.jpg" alt="Strong ringing on the LED voltage waveform edge at about
- 100% overshoot during about 70% of the cycle time.">
- <figcaption>The shift register logic output of the multichannel LED driver directly driving a small mosfet's
- gate through an inch or so of PCB trace caused extremely bad ringing at high driving
- frequencies.</figcaption>
- </figure><figure class="side-by-side">
- <img src="/images/driver_ringing_weak.jpg" alt="Weak ringing on the LED voltage waveform edge at about 30%
- overshoot during about 20% of the cycle time.">
- <figcaption>Adding a resistor dampened the ringing somewhat, but ultimately it cannot be eliminated
- entirely.</figcaption>
- </figure>
-</figure><p>These last two errors are tricky to compensate. What I needed for that was basically a model of the <em>perceived</em> colors
-of the LED tape's color channels. A way of doing his is to record the spectra of all color channels and then evaluate
-their respective XYZ coordinates. If all three channels are measured in one go with the same setup the relative
-magnitudes of the channels in XYZ will be accurate.</p>
-<p>To map any color to the LEDs, the color's XYZ coordinates simply have to be mapped onto the linear coordinate system
-produced by these three points within XYZ. LEDs are mostly linear in their luminous flux vs. current characteristic so
-this model will be adequate. The spectral integrals mapping the channels' measured responses to XYZ need only be
-calculated once and their results can be used as scaling factors thereafter.</p>
-</div>
-<div class="section" id="measuring-the-spectrum">
-<h2>Measuring the spectrum</h2>
-<p>In order to compensate for the cheap LED tape's non-ideal performance I had to measure the LED's red, green and blue
-channels' spectra. The obvious thing would be to go out and buy a <a class="reference external" href="https://en.wikipedia.org/wiki/Ultraviolet%E2%80%93visible_spectroscopy">spectrograph</a>, or ask someone to borrow theirs. The
-former is kind of expensive, and I did not want to wait two weeks for the thing to arrive. The latter I could probably
-not do every time I got new LED tape. Thus the only choice was to build my own.</p>
-<p>Luckily, building your own spectrometer is really easy. The first thing you need is something that splits incident light
-into its constituent wavelengths. In professional devices this is called the <em>`monochromator`_</em>, since it allows extraction
-of small color bands from the spectrum. The second thing is some sort of optics that project the incident light onto a
-screen behind the monochromator. In professional devices lenses or curved mirrors are used. In a simple homebrew job a
-pinhole as you would use in a <a class="reference external" href="https://en.wikipedia.org/wiki/Pinhole_camera">camera obscura</a> does a remarkably nice job.</p>
-<p>For the monochromator component several things could be used. A prism would work, but I did not have any. The
-alternative is a <a class="reference external" href="https://en.wikipedia.org/wiki/Diffraction_grating">diffraction grating</a>. Professional gratings are quite specialized pieces of equipment and thus
-rather expensive. Luckily, there is a common household item that works almost as well: A regular CD or DVD. The
-microscopic grooves that are used to record data in a CD or DVD work the same as the grooves in a professional
-diffraction grating.</p>
-</div>
-<div class="section" id="household-spectra">
-<h2>Household spectra</h2>
-<p>From this starting point, a few seconds on my favorite search engine yielded an <a class="reference external" href="http://www.candac.ca/candacweb/sites/default/files/BuildaSpectroscope.pdf">article by two researchers from the
-National Science Museum in Tokyo</a> providing a nice blueprint for a simple cardboard-and-DVD construction for use in
-classrooms. I replicated their device using a DVD and it worked beautifully. Daylight and several types of small LEDs I
-had around did show the expected spectra. Small red, yellow, green, and blue LEDs showed narrow spectra, daylight one
-continuous broad one, and white LEDs a continuous broad one with a distinct bright spot in the blue part. The
-single-color LED spectra are quite narrow since they are determined by the LED's semiconductor's band gap, which is
-specific to the semiconductor used and is quite precise. White LEDs are in fact a blue LED chip covered with a so-called
-<em>phosphor</em>. This phosphor is not elementary phosphorus but an anorganic compound that absorbs the LED chip's blue light
-and re-emits a broader spectrum of more yellow-ish wavelengths instead. The final LED spectrum is a superposition of
-both spectra, with some of the original blue light leaking through the phosphor mixing with the broadband yellow
-spectrum of the phosphor.</p>
-<figure>
- <figure class="side-by-side">
- <img src="/images/spectrograph_step1_parts.jpg">
- <figcaption>The ingredients. The cup of coffee and Madoka Magica DVD set are essential to the eventual
- function of the appartus.</figcaption>
- </figure><figure class="side-by-side">
- <img src="/images/spectrograph_step2.jpg">
- <figcaption>Step 1: Cut to size and mark down all holes as described in <a
- href="http://www.candac.ca/candacweb/sites/default/files/BuildaSpectroscope.pdf">the manual</a></figcaption>
- </figure>
- <figure class="side-by-side">
- <img src="/images/spectrograph_step3.jpg">
- <figcaption>Step 2: Cut out all holes</figcaption>
- </figure><figure class="side-by-side">
- <img src="/images/spectrograph_step4_complete.jpg">
- <figcaption>The finished result with the back side showing. The viewing window is on the bottom of the other
- side.</figcaption>
- </figure>
-</figure><p>Now that I had a spectrograph, I needed a somewhat predictable way of measuring the spectrum it gave me.</p>
-</div>
-<div class="section" id="measuring-a-spectrum">
-<h2>Measuring a spectrum</h2>
-<p>Pointing a camera at the spectrograph would be the obvious thing to do. This produces pretty images but has one critical
-flaw: I wanted to acquire quantitative measurements of brightness across the spectrum. Since I don't have a precise
-technical datasheet specifying the spectral response of any of my cameras I can't compare the absolute brightness of
-different colors on their pictures. Some other sensor was needed.</p>
-<figure>
- <img src="/images/daylight_spectrum_dvd.jpg">
- <figcaption>The daylight spectrum as seen using a DVD as a grating.
- <a href="https://commons.wikimedia.org/wiki/File:SpectresSolaires-DVD.jpg">Picture</a> by
- <a href="https://commons.wikimedia.org/wiki/User:Xofc">Xofc from Wikimedia Commons</a>,
- <a href="https://creativecommons.org/licenses/by-sa/4.0/">CC-BY-SA 4.0</a>
- </figcaption>
-</figure><div class="section" id="measuring-light-intensity">
-<h3>Measuring light intensity</h3>
-<p>Looking around my lab, I found a bag of <a class="reference external" href="https://dammedia.osram.info/media/resource/hires/osram-dam-2495903/SFH%202701.pdf">SFH2701</a> visible-light photodiodes. Their
-datasheet includes their spectral response so I can compensate for that, allowing precise-ish absolute intensity
-measurements. Just like LEDs, photodiodes are extremely linear across several orders of magnitude. The datasheet of the
-classic <a class="reference external" href="http://www.vishay.com/docs/81521/bpw34.pdf">BPW34</a> photodiode shows that this photodiode's light current is exactly proportional to illuminance over at
-least three orders of magnitude. The <a class="reference external" href="https://dammedia.osram.info/media/resource/hires/osram-dam-2495903/SFH%202701.pdf">SFH2701</a> datasheet does not include a similar graph but its performance will be
-similar. The <a class="reference external" href="https://dammedia.osram.info/media/resource/hires/osram-dam-2495903/SFH%202701.pdf">SFH2701</a> photodiodes I had at hand were perfect for the job compared to the vintage <a class="reference external" href="http://www.vishay.com/docs/81521/bpw34.pdf">BPW34</a> since their
-active sensing area is really small (0.6mm by 0.6mm) compared to the BPW34 (a whopping 3mm by 3mm). If I were to use a
-<a class="reference external" href="http://www.vishay.com/docs/81521/bpw34.pdf">BPW34</a> I would have to insert some small apterture in front of it so it does not catch too broad a part of the
-spectrum at once. The <a class="reference external" href="https://dammedia.osram.info/media/resource/hires/osram-dam-2495903/SFH%202701.pdf">SFH2701</a> is small enough that if I just point it at the projected spectrum directly I will
-already get only a small part of the spectrum inside its 0.6mm active area.</p>
-<p>To convert the photodiode's tiny photocurrent into a measurable voltage I built another copy of the <a class="reference external" href="https://en.wikipedia.org/wiki/Transimpedance_amplifier">transimpedance
-amplifier</a> circuit I already used in the <a class="reference external" href="https://jaseg.net/posts/multichannel-led-driver/">multichannel LED driver</a>. A <a class="reference external" href="https://en.wikipedia.org/wiki/Transimpedance_amplifier">transimpedance amplifier</a> is an
-amplifiert that produces a large voltage from a small current. The weird name comes from the fact that it works kind of
-like an amplified resistor (which can be generalized as an <em>impedance</em> electrically). Apply a current to a resistor and
-you get a voltage. A transimpedance amplifiert does the same with the difference that its input always stays at 0V,
-making it look like an ideal current sink to the connected current source.</p>
-<p>Transimpedance amplifiers are common in optoelectronics to convert small photocurrents to voltages. In this instance I
-built a very simple circuit with a dampened transimpedance amplifier stage followed by a simple RC filter for noise
-rejection and a regular non-inverting amplifier using another op-amp from the same chip to further boost the filtered
-transimpedance amplifier output. I put all the passives setting amplifier response (the gain-setting resistors and the
-filter resistor and capacitors) on a small removable adapter so I could easily change them if necessary. I put a small
-trimpot on the virtual ground both amplifers use as a reference so I could trim that if necessary.</p>
-<figure>
- <img src="/images/preamp_schematic.jpg" alt="A drawing of the photodiode preamplifier's schematic">
- <figcaption>The photodiode preamplifier schematic. Schematic drawn with an unlicensed copy of
- DaveCAD.</figcaption>
-</figure><p>Following are pictures of the preamplifier board. The connectors on the top-left side are two copies of the analog
-signal for the ADC and a small panel meter. The SMA connector is used as the photodiode input since coax cables are
-generally low-leakage and have built-in shielding. The circuit is powered via the micro-USB connector and the analog
-ground bias voltage can be adjusted using the trimpot.</p>
-<p>For easy replacement, all passives setting gain and frequency response are on a small, pluggable carrier PCB made from a
-SMD-to-DIP adapter.</p>
-<p>Flying-wire construction is just fine for this low-frequency circuit. In a high-speed photodiode preamp, the
-transimpedance amplifier circuit would be highly sensitive to stray capacitance, but we're not aiming at high speed
-here.</p>
-<figure>
- <figure class="side-by-side">
- <img src="/images/preamp_front.jpg">
- <figcaption>The front side of the preamplifier board.</figcaption>
- </figure><figure class="side-by-side">
- <img src="/images/preamp_back.jpg">
- <figcaption>The wiring of the photodiode preamp.</figcaption>
- </figure>
-</figure><p>Given a way to measure intensity what remains missing is a way to scan a single photodiode across the spectrum.</p>
-</div>
-<div class="section" id="scanning-the-projection">
-<h3>Scanning the projection</h3>
-<p>A cheap linear stage can be found in any old CD or DVD drive. These drives use a small linear stage based on a
-stepper-driven screw to move the laser unit radially. Removing the laser unit and connecting a leftover stepper driver
-module I was left with a small linear stage with about 45 steps per cm without microstepping enabled. The driver I used
-was an <a class="reference external" href="https://www.pololu.com/file/0J450/A4988.pdf">A4988</a> module that required at least 8V motor drive voltage. I used a small micro USB-input boost converter
-module to generate a stable 10V supply for the motor driver, with the USB's 5V rail used as a logic supply for the motor
-driver.</p>
-<p>The <a class="reference external" href="https://dammedia.osram.info/media/resource/hires/osram-dam-2495903/SFH%202701.pdf">SFH2701</a> can easily be mounted to the linear stage using a small SMD breakout board glued in place with thin wires
-connecting it to the transimpedance amplifier. The DVD drive linear stage is not very strong so it is important that
-this wire does not put too much strain on it.</p>
-<p>Above the photodiode, I mounted a small piece of paper on the linear stage to be used as a projection screen to align
-the linear stage in front of the spectrometer viewing window. A line on the screen paper points to the photodiode die in
-parallel to the linear stage allowing precise alignment.</p>
-<p>The whole unit with photodiode preamplifier, linear stage, photodiode and stepper motor driver finally looks like this:</p>
-<figure>
- <img src="/images/electronics_whole.jpg" alt="The complete electronics setup of the spectrograph. In the back
- there is the DVD drive stepper stage. In front of it, mounted on a piece of wood are a small USB-to-12V
- switching-regulator module to power the stepper motor in the top left, below on the bottom left is the
- photodiode preamp and on the right is a breadboard with the stepper driver module and lots of jumper wires
- interconnecting everything. On the right of the breadboard, a buspirate is attached to interface everything to a
- computer. On the bottom edge of the piece of wood, two LED panel meters are mounted for readout of the preamp
- output and the stepper supply voltages.">
- <figcaption>The complete electronics setup. The buspirate on the right interfaces to a computer and controls the
- stepper driver and ADC'es the preamp output. The two panel meters show the preamp output and stepper voltage for
- setup.</figcaption>
-</figure><p>The projection of the spectrum can be adjusted by moving the light source relative to the entry slot and by moving
-around the grating DVD.</p>
-</div>
-<div class="section" id="the-capture-process">
-<h3>The capture process</h3>
-<p>To capture a spectrum, first the light source has to be mounted near the spectrograph's entry slot. The LED tape I
-tested I just taped face-down directly into it. Next, the grating DVD has to be adjusted to make sure the spectrum
-covers a sensible part of the photodiode's path. Mostly, this boils down to adjusting the photodiode distance and height
-to match the vertical extent and wiggling the grating DVD to adjust the projection's horizontal position.</p>
-<p>After the optics are set-up, the photodiode preamplifier has to be adjusted. In my experiments, most LED tape at 5GΩ
-required a high-ish amplification. The goal in this step is to maximize the peak response of the preamp to be just
-shy of its VCC rail to make best use of its dynamic range. To adjust the pre-amp, I took several very coarsely-spaced
-measurements to give me an estimate of the peak while I did not yet know its precise location.</p>
-<p>Since stray daylight totally swamped out the weak projection of the LED's spectrum I shielded the entire setup with a
-small box made of black cardboard and two black t-shirts on top. This shielding proved adequate for all my measurements
-but I had to be careful not to accidentially move the DVD that was stuck into the spectrograph with the shielding
-t-shirts.</p>
-<p>For capturing a single spectrum I wrote a small python script that will automatically move the stepper in adjustable
-intervals and take two measurements at each point, one with the LED tape off that can be used for offset calibration and
-one with the LED tape on. All measurements are stored in a sqlite database that can then be accesssed from other
-scripts.</p>
-<p>I built a small script that shows the progress of the current run and an jupyter notebook for data analysis. The jupyter
-notebook is capable of live-updating a graph with the in-progress spectrum's data. This was quite useful as a sanity
-check for when I made some mistake easy to spot in the resulting data.</p>
-<p>After one color channel is captured, the LED tape has to be manually set to the next color and the next measurement can
-begin.</p>
-<figure>
- <img src="/images/raw_plot_cheap_rgb.svg" alt="A plot with three wide peaks, two large peaks on both sides and
- one smaller one in the middle. The middle one overlaps the two on the sides. The large ones are about 2.5V in
- amplitude. Overall, the plot is about 300 stepper steps wide with each peak being around 130 steps wide.">
- <figcaption>A plot of the raw preamp output voltage versus stepper position. From left to right, the three peaks
- are blue, green and red. Step 0 corresponds to the bottommost stepper position and the shortest wavelength.
- </figcaption>
-</figure></div>
-<div class="section" id="data-analysis">
-<h3>Data analysis</h3>
-<p>Data analysis consists of three major steps: Offset- and stray light removal, wavelength and amplitude calibration and
-color space mapping.</p>
-<div class="section" id="offset-removal">
-<h4>Offset removal</h4>
-<p>The first task is to remove the offset caused by dark current as well as stray light of the LED's bright primary
-reflection on the DVD. The LED is very bright and only a small part of its light gets reflected by the grating towards
-the photodiode screen. The remaining part of the light is reflected onto the table in front of the DVD spectrograph.
-Though I covered all of this with black cardboard, some of that light ultimately gets reflected onto the photodiode.
-This causes a large offset, in particular in the blue part of the spectrum since in this part the photodiode is closest
-to the spectrograph's opening.</p>
-<p>The composite offset can be approximated with a second-order polynomial that is fitted to all the data outside of the
-main peak's area. Since at this point the wavelength of each data point is still unknown this is done with a rough first
-estimate of the three colors' peaks' locations and widths.</p>
-</div>
-<div class="section" id="wavelength-and-amplitude-calibration">
-<h4>Wavelength- and amplitude calibration</h4>
-<p>The photodiode's response is strongly wavelength-dependent. In particular in the blue band, the photodiode's sensitivity
-gets very poor down to about 20% at the edge to ultraviolet. This effect is strong enough to move the apparent location
-of the blue peak towards red.</p>
-<p>The problem is that in order to remove this non-linearity, we would already have to know the wavelength of the measured
-light. Since I don't, I settled for a two-step process. First, a coarse wavelength calibration is done relative to the
-red peak and the short-wavelength edge of the blue peak. The photodiode measurements are then sensitivity-corrected
-using this coarse measurement. Then all three channel peaks are measured in the resulting data and a fine wavelength
-estimate is produced by a least-squares fit of a linear function. This fine estimate is then used for a second
-sensitivity correction of all original measurements and the scale is changed from stepper motor step count to
-wavelength in nanometers.</p>
-<figure>
- <img src="/images/processed_plot_cheap_rgb.svg" alt="A plot with three wide peaks, all three of different
- heights. The leftmost peak is highest at 6nA, the middle peak lowest at 1.6nA and the rightmost peak in between
- at 4nA. The middle one overlaps the two on the sides. Overall, the plot spans about 300nm on its x axis with
- each peak being around 100nm wide.">
- <figcaption>A plot of the processed measurements. From left to right, the three peaks are blue, green and red.
- </figcaption>
-</figure><!-- FIXME re-do these measurements, avoiding clipping -->
-<!-- FIXME re-do calibration using CCFL -->
-<!-- FIXME calibration for brightness imbalance due to wedge-shaped projection of spectrum -->
-</div>
-<div class="section" id="color-space-mapping">
-<h4>Color space mapping</h4>
-<p>Finally, to achieve the objective of measuring the LED tape's channels' precise color coordinates the measured spetra
-have to be matched against the color spaces' <em>color matching functions</em>. The color matching functions describe how
-strong the color space's idealized <em>standard observer</em> would react to light at a particular wavelength. Going from a
-measured spectrum to color coordinates XYZ works by integrating over the product of the measurement and each color
-coordinate's color matching function.</p>
-<p>The result are three color coordinates X, Y and Z for each channel R, G and B yielding nine coordinates in total. When
-written as a matrix conversion between XYZ color space and LED-RGB color space is as simple as multiplying that matrix
-(or its inverse) and a vector from one of the color spaces.</p>
-<p>In XYZ space, the set of colors that can be produced with this LED tape is described by the <a class="reference external" href="https://en.wikipedia.org/wiki/Parallelepiped">parallelepiped</a> spanned by
-the three channel's XYZ vectors. In the following figures, you can see a three-dimensional model of the RGB LED's color
-space (colorful) as well as sRGB (white) for comparison plotted within CIE 1931 XYZ. There is no natural map to scale
-both so for this illustration the LED color space has been scaled to fit. These figures were made with blender and a few
-lines of python. The blender project file including all settings and the python script to generate the color space
-models can be found in the <a class="reference external" href="https://github.com/jaseg/led_drv">project repo</a>.</p>
-<figure>
- <video controls loop>
- <source src="/video/led_within_srgb_scale=1.0.mkv" type="video/h264">
- <source src="/video/led_within_srgb_scale=1.0.webm" type="video/webm">
- Your browser does not support the HTML5 video tag.
- </video>
- <figcaption>Illustration of the measured LED color space scaled to fit within XYZ with sRGB (light gray) for
- comparison. The thick, white line is the spectral locus.
-
- <a href="/video/led_within_srgb_scale=1.0.mkv">mkv/h264 download</a> /
- <a href="/video/led_within_srgb_scale=1.0.webm">webm download</a>
- </figcaption>
-</figure><p>As you can see, the result is pretty disappointing. The LED's color space parallepiped is very narrow, which is because
-the blue channel is much brighter than the other two channels. An easy fix for this is to scale-up the RGB space and
-drop any values outside XYZ. The scaling factor is a trade-off between color space coverage and brightness. You can
-produce the most colors when you clip all channels to brightness of the weakest channel (green in this case), but that
-will make the result very dim. Scaling brightness like that stretches the RGB parallelepiped along its major axis. Up to
-a point the number of possible colors (the gamut) increases at expense of maximum brightness. When the parallelepiped is
-stretched far enought for all three channel vectors to be outside the 1,1,1 XYZ-cube, maximum brightness continues to
-decrease but the gamut stays constant. I don't know a simple scientific way to solve this problem, so I just played
-around with a couple of factors and settled on 2.5 as a reasonable compromise. Below is an illustration.</p>
-<figure>
- <video controls loop>
- <source src="/video/led_within_srgb_fancy_camera_path_scale=2.5.mkv" type="video/h264">
- <source src="/video/led_within_srgb_fancy_camera_path_scale=2.5.webm" type="video/webm">
- Your browser does not support the HTML5 video tag.
- </video>
- <figcaption>Illustration of the measured LED color space at scale factor 2.5 within XYZ with sRGB (light gray)
- for comparison. The thick, white line is the spectral locus.
-
- <a href="/video/led_within_srgb_fancy_camera_path_scale=2.5.mkv">mkv/h264 download</a> /
- <a href="/video/led_within_srgb_fancy_camera_path_scale=2.5.webm">webm download</a>
- </figcaption>
-</figure></div>
-</div>
-</div>
-<div class="section" id="firmware-implementation">
-<h2>Firmware implementation</h2>
-<p>In the end, the above measurements yield two matrices: One for mapping XYZ to RGB, and one for mapping RGB to XYZ. Of
-the several versions of CIE XYZ I chose the CIE 1931 XYZ color space as a basis for the firmware because it is most
-popular. Mapping a color coordinate in one color space to the other is as simple as performing nine floating-point
-multiplications and six additions. Mapping Lab or Lch to RGB is done by first mapping Lab/Lch to XYZ, then XYZ to RGB.
-Lab to XYZ is somewhat complex since it requires a floating-point power for gamma correction, but any self-respecting
-libc will have one of those so this is still no problem. Lch also requires floating-point sine and cosine functions, but
-these should still be no problem on most hardware.</p>
-<p>My implementation of these conversions in the ESP8266 firmware of my <a class="reference external" href="https://jaseg.net/posts/wifi-led-driver/">Wifi LED driver</a> can be found <a class="reference external" href="https://github.com/jaseg/esp_led_drv/blob/master/user/led_controller.c">on Github</a>.</p>
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-<h1><span class="title">Zeus Hammer</span></h1>
-
-<h2 class="date">2018/05/03</h2>
-<p class="terms">
-
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-<p>In case you were having an inferiority complex because your friends' IBM Model M keyboards are so much louder than the
-shitty rubber dome freebie you got with your pc... Here's the solution: Zeus Hammer, a simple typing cadence enhancer
-for <a class="reference external" href="https://en.wikipedia.org/wiki/PS/2_port">PS/2</a> keyboards.</p>
-<!-- FIXME: add demo video -->
-<p>The connects to the keyboard's PS/2 clock line and briefly actuates a large solenoid on each key press. An interesting
-fact about PS/2 is that the clock line is only active as long as either the host computer or the input device actually
-want to send data. In case of a keyboard that's the case when a key is pressed or when the host changes the keyboard's
-LED state, otherwise the clock line is silent. We ignore the LED activity for now as it's generally coupled to key
-presses. By just triggering an NE555 configured as astable flipflop we can stretch each train of clock pulses to a
-pulse a few tens of milliseconds long that is enough to actuate the solenoid.</p>
-<img alt="/images/zeus_hammer_schematic.jpg" src="/images/zeus_hammer_schematic.jpg" />
-<p>Since PS/2 sends each key press and key release separately this circuit will pulse twice per keystroke. It would be
-possible to ignore one of them but I figure the added noise just adds to the experience.</p>
-<p>Built on a breadboard, the circuit looks like this.</p>
-<img alt="/images/zeus_hammer_breadboard.jpg" src="/images/zeus_hammer_breadboard.jpg" />
-<p>The completed system looks like this.</p>
-<!-- FIXME: add image of completed system -->
-<p>Since my solenoid did not have a tensioning spring I used a rubber band and some vinyl tape to make an adjustable
-tensioner. The small orange USB hub serves as an end-stop because I had nothing else of the right shape. The sound and
-resonance of the thing can be adjusted to taste by moving the end stop, adjusting the tensioning rubber and tuning the
-excitation duration using the potentiometer. My particular solenoid was a bit slow so I added some pieces of circuit
-board as shims between the plunger and the case to limit the plunger's travel inside the solenoid core. Here is another
-video of the thing in action in which I tune and de-tune the mechanical resonance using the potentiometer.</p>
-<!-- FIXME: add video w/ tune/detune -->
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