From 7bc656ca2a026d91a845dd4d8bfeb812021cdf4d Mon Sep 17 00:00:00 2001 From: jaseg Date: Sat, 19 May 2018 14:43:28 +0200 Subject: Add multichannel LED driver post --- docs/404.html | 74 - docs/categories/index.html | 78 - docs/categories/index.xml | 14 - docs/css/fonts.css | 7 - docs/css/style.css | 211 -- docs/images/daylight_spectrum_dvd.jpg | Bin 79150 -> 0 bytes docs/images/driver_ringing_strong.jpg | Bin 285952 -> 0 bytes docs/images/driver_ringing_weak.jpg | Bin 292100 -> 0 bytes docs/images/electronics_whole.jpg | Bin 438776 -> 0 bytes docs/images/hsv_cylinder.png | Bin 293981 -> 0 bytes docs/images/preamp_back.jpg | Bin 340446 -> 0 bytes docs/images/preamp_front.jpg | Bin 308167 -> 0 bytes docs/images/preamp_schematic.jpg | Bin 277414 -> 0 bytes docs/images/processed_plot_cheap_rgb.svg | 2453 ------------------- docs/images/raw_plot_cheap_rgb.svg | 2574 -------------------- docs/images/rgb_cube.svg | 222 -- docs/images/spectrograph_step1_parts.jpg | Bin 284254 -> 0 bytes docs/images/spectrograph_step2.jpg | Bin 277234 -> 0 bytes docs/images/spectrograph_step3.jpg | Bin 256192 -> 0 bytes docs/images/spectrograph_step4_complete.jpg | Bin 303777 -> 0 bytes docs/images/zeus_hammer_breadboard.jpg | Bin 445768 -> 0 bytes docs/images/zeus_hammer_breadboard_original.jpg | Bin 2474273 -> 0 bytes docs/images/zeus_hammer_schematic.jpg | Bin 148056 -> 0 bytes docs/images/zeus_hammer_schematic_original.jpg | Bin 1893757 -> 0 bytes docs/index.html | 101 - 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- - - - - - jaseg.net | jaseg.net - - - -
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- - - - - - - - - - - - diff --git a/docs/index.xml b/docs/index.xml deleted file mode 100644 index af0a31a..0000000 --- a/docs/index.xml +++ /dev/null @@ -1,52 +0,0 @@ - - - - jaseg.net - https://jaseg.net/ - Recent content on jaseg.net - Hugo -- gohugo.io - en-us - Thu, 03 May 2018 11:59:37 +0200 - - - - - - Zeus Hammer - https://jaseg.net/posts/zeus-hammer/ - Thu, 03 May 2018 11:59:37 +0200 - - https://jaseg.net/posts/zeus-hammer/ - 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 PS/2 keyboards. -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. - - - - Multichannel Led Driver - https://jaseg.net/posts/multichannel-led-driver/ - Wed, 02 May 2018 11:31:14 +0200 - - https://jaseg.net/posts/multichannel-led-driver/ - - - - - Wifi Led Driver - https://jaseg.net/posts/wifi-led-driver/ - Wed, 02 May 2018 11:31:03 +0200 - - https://jaseg.net/posts/wifi-led-driver/ - - - - - Led Characterization - https://jaseg.net/posts/led-characterization/ - Wed, 02 May 2018 11:18:38 +0200 - - https://jaseg.net/posts/led-characterization/ - 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! - - - - \ No newline at end of file diff --git a/docs/posts/index.html b/docs/posts/index.html deleted file mode 100644 index bed5ad4..0000000 --- a/docs/posts/index.html +++ /dev/null @@ -1,102 +0,0 @@ - - - - - - Posts | jaseg.net - - - -
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Posts

- - - - - - - - - - diff --git a/docs/posts/index.xml b/docs/posts/index.xml deleted file mode 100644 index 096d9cd..0000000 --- a/docs/posts/index.xml +++ /dev/null @@ -1,52 +0,0 @@ - - - - Posts on jaseg.net - https://jaseg.net/posts/ - Recent content in Posts on jaseg.net - Hugo -- gohugo.io - en-us - Thu, 03 May 2018 11:59:37 +0200 - - - - - - Zeus Hammer - https://jaseg.net/posts/zeus-hammer/ - Thu, 03 May 2018 11:59:37 +0200 - - https://jaseg.net/posts/zeus-hammer/ - 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 PS/2 keyboards. -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. - - - - Multichannel Led Driver - https://jaseg.net/posts/multichannel-led-driver/ - Wed, 02 May 2018 11:31:14 +0200 - - https://jaseg.net/posts/multichannel-led-driver/ - - - - - Wifi Led Driver - https://jaseg.net/posts/wifi-led-driver/ - Wed, 02 May 2018 11:31:03 +0200 - - https://jaseg.net/posts/wifi-led-driver/ - - - - - Led Characterization - https://jaseg.net/posts/led-characterization/ - Wed, 02 May 2018 11:18:38 +0200 - - https://jaseg.net/posts/led-characterization/ - 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! - - - - \ No newline at end of file diff --git a/docs/posts/led-characterization/index.html b/docs/posts/led-characterization/index.html deleted file mode 100644 index 06f369f..0000000 --- a/docs/posts/led-characterization/index.html +++ /dev/null @@ -1,459 +0,0 @@ - - - - - - Led Characterization | jaseg.net - - - -
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Led Characterization

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2018/05/02

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Preface

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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! This observation led me down a rabbit hole of color -perception and LED peculiarities.

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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 -multichannel LED driver project for its great color resolution and low hardware requirements.

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- An illustration of the RGB color cube. -
An illustration of the RGB color cube. - Picture by - Maklaan from Wikimedia Commons, - CC-BY-SA 3.0 -
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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 "hue" or -"brightness", and computing a measure of those from RGB values is not easy.

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Colors and Color Spaces

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Color spaces are a mathematical abstraction of the concept of color. When we say "RGB", most of the time we actually -mean sRGB, a standardized notion of how to map three numbers labelled "red", "green" and "blue" onto a perceived -color. HSV is an early attempt to more closely align these numbers with our perception. After HSV, a number of other -perceptual color spaces such as XYZ (CIE 1931) and CIE Lab/LCh 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.

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- An illustration of the HSV color space as a cylinder. -
An illustration of the HSV color space as a cylinder. - Picture by - SharkD from Wikimedia Commons, - CC-BY-SA 3.0 -
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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 monochromatic spectral locus, that is the curve of points you get in -XYZ for pure visible wavelengths.

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As you can see, sRGB is much smaller than XYZ or even the part within the monochromatic locus that we can perceive. In -particular in the blues and greens we loose a lot of colors to sRGB.

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Illustration of the measured sRGB color space within XYZ. The thick, white line is the spectral - locus. - - mkv/h264 download / - webm download -
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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:

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  • 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 multichannel LED -driver project. Below are pictures of ringing on the edges of an LED driver's waveform.
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  • 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 looks much brighter than the red channel.
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  • The precise colors of the red, green and blue channels of the LEDs are unknown. Though the red channel looks red, it -may be of a slightly different hue compared to the reference red used in sRGB which would also skew the RGB color -space.
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- Strong ringing on the LED voltage waveform edge at about
-        100% overshoot during about 70% of the cycle time. -
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.
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- Weak ringing on the LED voltage waveform edge at about 30%
-        overshoot during about 20% of the cycle time. -
Adding a resistor dampened the ringing somewhat, but ultimately it cannot be eliminated - entirely.
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These last two errors are tricky to compensate. What I needed for that was basically a model of the perceived 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.

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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.

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Measuring the spectrum

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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 spectrograph, 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.

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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 `monochromator`_, 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 camera obscura does a remarkably nice job.

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For the monochromator component several things could be used. A prism would work, but I did not have any. The -alternative is a diffraction grating. 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.

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Household spectra

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From this starting point, a few seconds on my favorite search engine yielded an article by two researchers from the -National Science Museum in Tokyo 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 -phosphor. 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.

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The ingredients. The cup of coffee and Madoka Magica DVD set are essential to the eventual - function of the appartus.
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Step 1: Cut to size and mark down all holes as described in the manual
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Step 2: Cut out all holes
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The finished result with the back side showing. The viewing window is on the bottom of the other - side.
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Now that I had a spectrograph, I needed a somewhat predictable way of measuring the spectrum it gave me.

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Measuring a spectrum

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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.

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The daylight spectrum as seen using a DVD as a grating. - Picture by - Xofc from Wikimedia Commons, - CC-BY-SA 4.0 -
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Measuring light intensity

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Looking around my lab, I found a bag of SFH2701 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 BPW34 photodiode shows that this photodiode's light current is exactly proportional to illuminance over at -least three orders of magnitude. The SFH2701 datasheet does not include a similar graph but its performance will be -similar. The SFH2701 photodiodes I had at hand were perfect for the job compared to the vintage BPW34 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 -BPW34 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 SFH2701 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.

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To convert the photodiode's tiny photocurrent into a measurable voltage I built another copy of the transimpedance -amplifier circuit I already used in the multichannel LED driver. A transimpedance amplifier 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 impedance 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.

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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.

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- A drawing of the photodiode preamplifier's schematic -
The photodiode preamplifier schematic. Schematic drawn with an unlicensed copy of - DaveCAD.
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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.

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For easy replacement, all passives setting gain and frequency response are on a small, pluggable carrier PCB made from a -SMD-to-DIP adapter.

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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.

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The front side of the preamplifier board.
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The wiring of the photodiode preamp.
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Given a way to measure intensity what remains missing is a way to scan a single photodiode across the spectrum.

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Scanning the projection

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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 A4988 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.

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The SFH2701 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.

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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.

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The whole unit with photodiode preamplifier, linear stage, photodiode and stepper motor driver finally looks like this:

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- 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. -
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.
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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.

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The capture process

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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.

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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.

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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.

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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.

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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.

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After one color channel is captured, the LED tape has to be manually set to the next color and the next measurement can -begin.

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- 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. -
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. -
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Data analysis

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Data analysis consists of three major steps: Offset- and stray light removal, wavelength and amplitude calibration and -color space mapping.

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Offset removal

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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.

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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.

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Wavelength- and amplitude calibration

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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.

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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.

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- 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
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A plot of the processed measurements. From left to right, the three peaks are blue, green and red. -
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Color space mapping

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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' color matching functions. The color matching functions describe how -strong the color space's idealized standard observer 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.

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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.

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In XYZ space, the set of colors that can be produced with this LED tape is described by the parallelepiped 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 project repo.

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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. - - mkv/h264 download / - webm download -
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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.

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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. - - mkv/h264 download / - webm download -
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Firmware implementation

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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.

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My implementation of these conversions in the ESP8266 firmware of my Wifi LED driver can be found on Github.

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Multichannel Led Driver

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2018/05/02

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Wifi Led Driver

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2018/05/02

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Zeus Hammer

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2018/05/03

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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 PS/2 keyboards.

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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.

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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.

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Built on a breadboard, the circuit looks like this.

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The completed system looks like this.

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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.

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