aboutsummaryrefslogtreecommitdiffstats
path: root/doc
diff options
context:
space:
mode:
authorsara <sara.halter@gmx.ch>2021-12-17 17:37:37 +0100
committersara <sara.halter@gmx.ch>2021-12-17 17:37:37 +0100
commitcce0f8d226dd0da2cff58a87277f51ca184083af (patch)
treea131b671b4b562fb25422faaa5d9322c7b2c2232 /doc
parentDoku (diff)
parentForgot a picture in 9239fa6 (diff)
downloadFading-cce0f8d226dd0da2cff58a87277f51ca184083af.tar.gz
Fading-cce0f8d226dd0da2cff58a87277f51ca184083af.zip
Merge remote-tracking branch 'origin/master'
Diffstat (limited to '')
-rw-r--r--doc/poster/pictures/B210_Board-Large_2.jpgbin0 -> 803975 bytes
-rw-r--r--doc/poster/pictures/gui_screenshot.pngbin0 -> 307457 bytes
-rw-r--r--doc/poster/pictures/sketch.pngbin836640 -> 796186 bytes
-rw-r--r--doc/poster/pictures/sketch_corrected.svg726
-rw-r--r--doc/poster/poster_draft_17122021.pdfbin0 -> 784029 bytes
-rw-r--r--doc/thesis/Fading.tex64
-rw-r--r--doc/thesis/chapters/theory.tex62
7 files changed, 426 insertions, 426 deletions
diff --git a/doc/poster/pictures/B210_Board-Large_2.jpg b/doc/poster/pictures/B210_Board-Large_2.jpg
new file mode 100644
index 0000000..88bdb58
--- /dev/null
+++ b/doc/poster/pictures/B210_Board-Large_2.jpg
Binary files differ
diff --git a/doc/poster/pictures/gui_screenshot.png b/doc/poster/pictures/gui_screenshot.png
new file mode 100644
index 0000000..42f9707
--- /dev/null
+++ b/doc/poster/pictures/gui_screenshot.png
Binary files differ
diff --git a/doc/poster/pictures/sketch.png b/doc/poster/pictures/sketch.png
index 9fc533a..37443cf 100644
--- a/doc/poster/pictures/sketch.png
+++ b/doc/poster/pictures/sketch.png
Binary files differ
diff --git a/doc/poster/pictures/sketch_corrected.svg b/doc/poster/pictures/sketch_corrected.svg
index e6ae423..37df5df 100644
--- a/doc/poster/pictures/sketch_corrected.svg
+++ b/doc/poster/pictures/sketch_corrected.svg
@@ -13,7 +13,7 @@
viewBox="0 0 291.16 100.21"
version="1.2"
id="svg249"
- sodipodi:docname="sketch.svg"
+ sodipodi:docname="sketch_corrected.svg"
inkscape:version="1.0.2 (e86c870879, 2021-01-15)"
inkscape:export-filename="/home/god/Documents/Fading/doc/poster/pictures/sketch.png"
inkscape:export-xdpi="2400"
@@ -43,12 +43,13 @@
id="namedview251"
showgrid="false"
inkscape:zoom="2.4589422"
- inkscape:cx="176.83521"
+ inkscape:cx="175.20849"
inkscape:cy="37.899979"
inkscape:window-x="0"
inkscape:window-y="372"
inkscape:window-maximized="1"
- inkscape:current-layer="svg249" />
+ inkscape:current-layer="svg249"
+ inkscape:document-rotation="0" />
<defs
id="defs82">
<g
@@ -256,385 +257,374 @@
height="150"
x="-7.5"
y="-22.5" />
+ <path
+ style="fill:none;stroke:#000000;stroke-width:1.18618;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="m 85.492188,28.519543 5.624999,-8.437497 H 79.867189 Z m 0,0"
+ id="path84" />
+ <path
+ style="fill:none;stroke:#000000;stroke-width:1.18618;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 85.492188,28.519543 V 42.58204"
+ id="path86" />
+ <path
+ style="fill:none;stroke:#000000;stroke-width:0.790776;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 85.492188,28.519543 V 20.082046"
+ id="path88" />
<g
- id="surface1">
+ style="fill:#000000;fill-opacity:1"
+ id="g94">
+ <use
+ xlink:href="#glyph0-1"
+ x="61.541512"
+ y="19.061728"
+ id="use90"
+ width="100%"
+ height="100%" />
+ <use
+ xlink:href="#glyph0-2"
+ x="68.78698"
+ y="19.061728"
+ id="use92"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ clip-path="url(#clip1)"
+ clip-rule="nonzero"
+ id="g98">
<path
- style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 0.000488549 56.694637 L 5.669833 65.198653 L -5.668856 65.198653 Z M 0.000488549 56.694637 "
+ style="fill:none;stroke:#000000;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="m 141.7341,0.00119283 5.66934,8.50401617 h -11.33869 z m 0,0"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path84" />
+ id="path96" />
+ </g>
+ <g
+ clip-path="url(#clip2)"
+ clip-rule="nonzero"
+ id="g102">
<path
- style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 0.000488549 56.694637 L 0.000488549 42.521276 "
+ style="fill:none;stroke:#000000;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 141.7341,0.00119283 V -14.172168"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path86" />
+ id="path100" />
+ </g>
+ <path
+ style="fill:none;stroke:#000000;stroke-width:0.790776;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 226.11716,84.769532 V 76.332034"
+ id="path104" />
+ <g
+ style="fill:#000000;fill-opacity:1"
+ id="g110">
+ <use
+ xlink:href="#glyph0-3"
+ x="235.57553"
+ y="75.312279"
+ id="use106"
+ width="100%"
+ height="100%" />
+ <use
+ xlink:href="#glyph0-2"
+ x="242.52444"
+ y="75.312279"
+ id="use108"
+ width="100%"
+ height="100%" />
+ </g>
+ <path
+ style="fill:#f0f0f0;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.790776;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 169.86717,28.519543 226.11716,42.58204 V 14.457046 L 169.86717,0.3945505 Z m 0,0"
+ id="path134" />
+ <path
+ style="fill:#f0f0f0;fill-opacity:1;fill-rule:nonzero;stroke:none"
+ d="m 57.367188,84.769531 h 84.375002 l 28.125,14.0625 H 85.492188 Z m 0,0"
+ id="path136" />
+ <g
+ clip-path="url(#clip3)"
+ clip-rule="nonzero"
+ id="g140">
<path
- style="fill:none;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 0.000488549 56.694637 L 0.000488549 65.198653 "
+ style="fill:none;stroke:#000000;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M -28.346233,0.00119283 H 56.693932 L 85.040654,-14.172168 H 4.88549e-4 Z m 0,0"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path88" />
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g94">
- <use
- xlink:href="#glyph0-1"
- x="61.541513"
- y="19.061728"
- id="use90" />
- <use
- xlink:href="#glyph0-2"
- x="68.786979"
- y="19.061728"
- id="use92" />
- </g>
- <g
- clip-path="url(#clip1)"
- clip-rule="nonzero"
- id="g98">
- <path
- style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 141.734098 0.00119283 L 147.403442 8.505209 L 136.064754 8.505209 Z M 141.734098 0.00119283 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path96" />
- </g>
- <g
- clip-path="url(#clip2)"
- clip-rule="nonzero"
- id="g102">
- <path
- style="fill:none;stroke-width:1.19553;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 141.734098 0.00119283 L 141.734098 -14.172168 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path100" />
- </g>
+ id="path138" />
+ </g>
+ <path
+ style="fill:none;stroke:#7f7fff;stroke-width:1.97696;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 91.917967,22.81642 197.99217,21.488295 219.55076,65.683598"
+ id="path142" />
+ <path
+ style="fill:#7f7fff;fill-opacity:1;fill-rule:nonzero;stroke:none"
+ d="m 222.98437,72.71875 c -0.625,-2.273438 -1.10546,-6.234375 -0.88281,-9.246094 l -5.86328,2.859375 c 2.51172,1.679688 5.33984,4.496094 6.74609,6.386719"
+ id="path144" />
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g148">
+ <use
+ xlink:href="#glyph3-2"
+ x="134.02409"
+ y="15.94728"
+ id="use146"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g152">
+ <use
+ xlink:href="#glyph4-1"
+ x="138.34503"
+ y="17.429596"
+ id="use150"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g156">
+ <use
+ xlink:href="#glyph3-3"
+ x="142.77908"
+ y="15.94728"
+ id="use154"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g160">
+ <use
+ xlink:href="#glyph3-4"
+ x="147.15799"
+ y="15.94728"
+ id="use158"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g164">
+ <use
+ xlink:href="#glyph4-1"
+ x="151.45071"
+ y="17.429596"
+ id="use162"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ clip-path="url(#clip4)"
+ clip-rule="nonzero"
+ id="g168">
<path
- style="fill:none;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 141.734098 0.00119283 L 141.734098 8.505209 "
+ style="fill:none;stroke:#7f7fff;stroke-width:1.99255;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M 2.642246,55.887542 28.34721,-7.085488 127.419,4.060286"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path104" />
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g110">
- <use
- xlink:href="#glyph0-3"
- x="235.575525"
- y="75.31228"
- id="use106" />
- <use
- xlink:href="#glyph0-2"
- x="242.524452"
- y="75.31228"
- id="use108" />
- </g>
+ id="path166" />
+ </g>
+ <path
+ style="fill:#7f7fff;fill-opacity:1;fill-rule:nonzero;stroke:none"
+ d="m 219.69141,79.867188 c -2.35157,-0.171876 -6.2461,-1.046876 -9.00782,-2.269532 l 0.73047,6.484375 c 2.42188,-1.804687 6.01953,-3.523437 8.27735,-4.214843"
+ id="path170" />
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g174">
+ <use
+ xlink:href="#glyph3-2"
+ x="79.821404"
+ y="74.223862"
+ id="use172"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g178">
+ <use
+ xlink:href="#glyph4-2"
+ x="84.142342"
+ y="75.706177"
+ id="use176"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g182">
+ <use
+ xlink:href="#glyph3-3"
+ x="88.576385"
+ y="74.223862"
+ id="use180"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g186">
+ <use
+ xlink:href="#glyph3-4"
+ x="92.955299"
+ y="74.223862"
+ id="use184"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g190">
+ <use
+ xlink:href="#glyph4-2"
+ x="97.248024"
+ y="75.706177"
+ id="use188"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ clip-path="url(#clip5)"
+ clip-rule="nonzero"
+ id="g194">
<path
- style="fill:none;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 134.647417 63.781317 C 148.163292 58.860011 154.277522 49.607956 168.663484 49.607956 "
+ style="fill:none;stroke:#7f7fff;stroke-width:1.99255;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M -6.47595,60.549003 -70.866316,42.521276 127.482,8.139064"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path112" />
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g116">
- <use
- xlink:href="#glyph1-1"
- x="256.525368"
- y="38.023246"
- id="use114" />
- </g>
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g120">
- <use
- xlink:href="#glyph2-1"
- x="259.270725"
- y="38.023246"
- id="use118" />
- </g>
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g124">
- <use
- xlink:href="#glyph1-1"
- x="265.449019"
- y="38.023246"
- id="use122" />
- </g>
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g128">
- <use
- xlink:href="#glyph3-1"
- x="270.940726"
- y="38.023246"
- id="use126" />
- </g>
- <g
- style="fill:rgb(0%,0%,0%);fill-opacity:1;"
- id="g132">
- <use
- xlink:href="#glyph2-2"
- x="281.374472"
- y="38.023246"
- id="use130" />
- </g>
+ id="path192" />
+ </g>
+ <path
+ style="fill:#7f7fff;fill-opacity:1;fill-rule:nonzero;stroke:none"
+ d="m 219.69141,78.03125 c -2.21094,-0.824219 -5.70313,-2.753906 -8.01172,-4.699219 l -1.11719,6.429688 c 2.83203,-1.054688 6.76953,-1.695313 9.12891,-1.730469"
+ id="path196" />
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g200">
+ <use
+ xlink:href="#glyph3-2"
+ x="36.192352"
+ y="27.433727"
+ id="use198"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g204">
+ <use
+ xlink:href="#glyph4-3"
+ x="40.513287"
+ y="28.916042"
+ id="use202"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g208">
+ <use
+ xlink:href="#glyph3-3"
+ x="44.94733"
+ y="27.433727"
+ id="use206"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g212">
+ <use
+ xlink:href="#glyph3-4"
+ x="49.326244"
+ y="27.433727"
+ id="use210"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#7f7fff;fill-opacity:1"
+ id="g216">
+ <use
+ xlink:href="#glyph4-3"
+ x="53.618969"
+ y="28.916042"
+ id="use214"
+ width="100%"
+ height="100%" />
+ </g>
+ <path
+ style="fill:#f0f0f0;fill-opacity:1;fill-rule:nonzero;stroke:none"
+ d="m 29.242188,84.769531 -28.125,-14.0625 v -56.25 l 28.125,14.0625 z m 0,0"
+ id="path218" />
+ <g
+ clip-path="url(#clip6)"
+ clip-rule="nonzero"
+ id="g222">
<path
- style="fill-rule:nonzero;fill:rgb(94.999695%,94.999695%,94.999695%);fill-opacity:1;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 85.040654 56.694637 L 141.734098 42.521276 L 141.734098 70.867998 L 85.040654 85.041358 Z M 85.040654 56.694637 "
+ style="fill:none;stroke:#000000;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="M -56.692955,0.00119283 -85.039677,14.174554 v 56.693444 l 28.346722,-14.173361 z m 0,0"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path134" />
- <path
- style=" stroke:none;fill-rule:nonzero;fill:rgb(94.999695%,94.999695%,94.999695%);fill-opacity:1;"
- d="M 57.367188 84.769531 L 141.742188 84.769531 L 169.867188 98.832031 L 85.492188 98.832031 Z M 57.367188 84.769531 "
- id="path136" />
- <g
- clip-path="url(#clip3)"
- clip-rule="nonzero"
- id="g140">
- <path
- style="fill:none;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M -28.346233 0.00119283 L 56.693932 0.00119283 L 85.040654 -14.172168 L 0.000488549 -14.172168 Z M -28.346233 0.00119283 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path138" />
- </g>
+ id="path220" />
+ </g>
+ <g
+ clip-path="url(#clip7)"
+ clip-rule="nonzero"
+ id="g226">
<path
- style="fill:none;stroke-width:1.99255;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(50%,50%,100%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 6.476927 62.442722 L 113.387376 63.781317 L 135.115926 19.237593 "
+ style="fill:none;stroke:#ff7f7f;stroke-width:2.83466;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1"
+ d="m 11.902175,58.135595 c -0.09449,-0.314964 -0.216538,-0.622053 -0.366145,-0.917331 m 5.795329,-0.72048 c -0.192915,-0.629927 -0.437012,-1.244106 -0.736227,-1.834662 m 6.161475,0.196852 C 22.469203,53.911146 22.103058,52.989878 21.654234,52.10798 m 6.527621,1.114183 c -0.377957,-1.263791 -0.870087,-2.492149 -1.464581,-3.669325 m 6.893765,2.027578 c -0.476382,-1.578755 -1.090561,-3.114203 -1.834663,-4.586658 m 7.259911,2.948847 C 38.465415,48.048886 37.729188,46.20635 36.835479,44.438616 m 7.629992,3.866178 c -0.669297,-2.208682 -1.527573,-4.362245 -2.57089,-6.42132 m 7.996138,4.78351 c -0.763787,-2.527583 -1.744111,-4.984299 -2.937035,-7.342589 m 8.36622,5.700841 c -0.858276,-2.838609 -1.964586,-5.606352 -3.303181,-8.255983 m 8.728428,6.618172 c -0.952764,-3.157509 -2.181122,-6.228404 -3.669325,-9.173314 m 9.09851,7.535504 C 65.123145,38.277141 63.772739,34.89522 62.134928,31.655032 m 9.464656,8.456772 C 70.453904,36.32043 68.981449,32.631419 67.194031,29.09989 m 9.8308,9.370167 C 75.788599,34.367656 74.190159,30.371556 72.253133,26.544748 M 82.454016,36.832246 C 81.119358,32.410945 79.398869,28.107755 77.316172,23.989606 M 87.879263,35.194435 C 86.450116,30.458171 84.607579,25.847891 82.375275,21.430527 M 93.308448,33.556625 C 91.780875,28.505397 89.816289,23.584091 87.434377,18.875385 M 98.733696,31.914877 C 97.111633,26.548685 95.025,21.324227 92.49348,16.320243 m 11.6694,13.956824 C 102.44633,24.595911 100.23371,19.060426 97.556519,13.761164 M 109.58813,28.639256 C 107.77709,22.6392 105.44242,16.800563 102.61562,11.206022 m 12.40169,15.795423 C 113.10785,20.686426 110.65113,14.536762 107.67472,8.65088 m 12.76784,16.708818 c -2.00396,-6.629984 -4.58272,-13.0828 -7.70873,-19.267897 m 13.13398,17.630086 C 123.7733,16.77694 121.06855,10.013098 117.79293,3.536659 m 13.50406,18.547418 c -2.19293,-7.263848 -5.01973,-14.330843 -8.44102,-21.10256 m 13.86627,19.464749 c -2.28742,-7.578811 -5.24021,-14.956833 -8.80717,-22.019891"
transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path142" />
- <path
- style=" stroke:none;fill-rule:nonzero;fill:rgb(50%,50%,100%);fill-opacity:1;"
- d="M 222.984375 72.71875 C 222.359375 70.445312 221.878906 66.484375 222.101562 63.472656 L 216.238281 66.332031 C 218.75 68.011719 221.578125 70.828125 222.984375 72.71875 "
- id="path144" />
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g148">
- <use
- xlink:href="#glyph3-2"
- x="134.0241"
- y="15.94728"
- id="use146" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g152">
- <use
- xlink:href="#glyph4-1"
- x="138.345036"
- y="17.429595"
- id="use150" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g156">
- <use
- xlink:href="#glyph3-3"
- x="142.779081"
- y="15.94728"
- id="use154" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g160">
- <use
- xlink:href="#glyph3-4"
- x="147.157992"
- y="15.94728"
- id="use158" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g164">
- <use
- xlink:href="#glyph4-1"
- x="151.450719"
- y="17.429595"
- id="use162" />
- </g>
- <g
- clip-path="url(#clip4)"
- clip-rule="nonzero"
- id="g168">
- <path
- style="fill:none;stroke-width:1.99255;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(50%,50%,100%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 2.642246 55.887542 L 28.34721 -7.085488 L 127.419003 4.060286 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path166" />
- </g>
- <path
- style=" stroke:none;fill-rule:nonzero;fill:rgb(50%,50%,100%);fill-opacity:1;"
- d="M 219.691406 79.867188 C 217.339844 79.695312 213.445312 78.820312 210.683594 77.597656 L 211.414062 84.082031 C 213.835938 82.277344 217.433594 80.558594 219.691406 79.867188 "
- id="path170" />
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g174">
- <use
- xlink:href="#glyph3-2"
- x="79.821404"
- y="74.22386"
- id="use172" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g178">
- <use
- xlink:href="#glyph4-2"
- x="84.14234"
- y="75.706175"
- id="use176" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g182">
- <use
- xlink:href="#glyph3-3"
- x="88.576385"
- y="74.22386"
- id="use180" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g186">
- <use
- xlink:href="#glyph3-4"
- x="92.955296"
- y="74.22386"
- id="use184" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g190">
- <use
- xlink:href="#glyph4-2"
- x="97.248022"
- y="75.706175"
- id="use188" />
- </g>
- <g
- clip-path="url(#clip5)"
- clip-rule="nonzero"
- id="g194">
- <path
- style="fill:none;stroke-width:1.99255;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(50%,50%,100%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M -6.47595 60.549003 L -70.866316 42.521276 L 127.481996 8.139064 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path192" />
- </g>
- <path
- style=" stroke:none;fill-rule:nonzero;fill:rgb(50%,50%,100%);fill-opacity:1;"
- d="M 219.691406 78.03125 C 217.480469 77.207031 213.988281 75.277344 211.679688 73.332031 L 210.5625 79.761719 C 213.394531 78.707031 217.332031 78.066406 219.691406 78.03125 "
- id="path196" />
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g200">
- <use
- xlink:href="#glyph3-2"
- x="36.192351"
- y="27.433728"
- id="use198" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g204">
- <use
- xlink:href="#glyph4-3"
- x="40.513288"
- y="28.916042"
- id="use202" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g208">
- <use
- xlink:href="#glyph3-3"
- x="44.947332"
- y="27.433728"
- id="use206" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g212">
- <use
- xlink:href="#glyph3-4"
- x="49.326243"
- y="27.433728"
- id="use210" />
- </g>
- <g
- style="fill:rgb(50%,50%,100%);fill-opacity:1;"
- id="g216">
- <use
- xlink:href="#glyph4-3"
- x="53.61897"
- y="28.916042"
- id="use214" />
- </g>
- <path
- style=" stroke:none;fill-rule:nonzero;fill:rgb(94.999695%,94.999695%,94.999695%);fill-opacity:1;"
- d="M 29.242188 84.769531 L 1.117188 70.707031 L 1.117188 14.457031 L 29.242188 28.519531 Z M 29.242188 84.769531 "
- id="path218" />
- <g
- clip-path="url(#clip6)"
- clip-rule="nonzero"
- id="g222">
- <path
- style="fill:none;stroke-width:0.79701;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M -56.692955 0.00119283 L -85.039677 14.174554 L -85.039677 70.867998 L -56.692955 56.694637 Z M -56.692955 0.00119283 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path220" />
- </g>
- <g
- clip-path="url(#clip7)"
- clip-rule="nonzero"
- id="g226">
- <path
- style="fill:none;stroke-width:2.83466;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(100%,50%,50%);stroke-opacity:1;stroke-miterlimit:10;"
- d="M 11.902175 58.135595 C 11.807686 57.820631 11.685637 57.513542 11.53603 57.218264 M 17.331359 56.497784 C 17.138444 55.867857 16.894347 55.253678 16.595132 54.663122 M 22.756607 54.859974 C 22.469203 53.911146 22.103058 52.989878 21.654234 52.10798 M 28.181855 53.222163 C 27.803898 51.958372 27.311768 50.730014 26.717274 49.552838 M 33.611039 51.580416 C 33.134657 50.001661 32.520478 48.466213 31.776376 46.993758 M 39.036287 49.942605 C 38.465415 48.048886 37.729188 46.20635 36.835479 44.438616 M 44.465471 48.304794 C 43.796174 46.096112 42.937898 43.942549 41.894581 41.883474 M 49.890719 46.666984 C 49.126932 44.139401 48.146608 41.682685 46.953684 39.324395 M 55.319904 45.025236 C 54.461628 42.186627 53.355318 39.418884 52.016723 36.769253 M 60.745151 43.387425 C 59.792387 40.229916 58.564029 37.159021 57.075826 34.214111 M 66.174336 41.749615 C 65.123145 38.277141 63.772739 34.89522 62.134928 31.655032 M 71.599584 40.111804 C 70.453904 36.32043 68.981449 32.631419 67.194031 29.09989 M 77.024831 38.470057 C 75.788599 34.367656 74.190159 30.371556 72.253133 26.544748 M 82.454016 36.832246 C 81.119358 32.410945 79.398869 28.107755 77.316172 23.989606 M 87.879263 35.194435 C 86.450116 30.458171 84.607579 25.847891 82.375275 21.430527 M 93.308448 33.556625 C 91.780875 28.505397 89.816289 23.584091 87.434377 18.875385 M 98.733696 31.914877 C 97.111633 26.548685 95.025 21.324227 92.49348 16.320243 M 104.16288 30.277067 C 102.446329 24.595911 100.23371 19.060426 97.556519 13.761164 M 109.588128 28.639256 C 107.777087 22.6392 105.44242 16.800563 102.615622 11.206022 M 115.017313 27.001445 C 113.107846 20.686426 110.65113 14.536762 107.674724 8.65088 M 120.44256 25.359698 C 118.438604 18.729714 115.85984 12.276898 112.733827 6.091801 M 125.867808 23.721887 C 123.7733 16.77694 121.06855 10.013098 117.792929 3.536659 M 131.296992 22.084077 C 129.104059 14.820229 126.27726 7.753234 122.855969 0.981517 M 136.72224 20.446266 C 134.434817 12.867455 131.482034 5.489433 127.915071 -1.573625 "
- transform="matrix(0.992178,0,0,-0.992178,85.491703,84.770715)"
- id="path224" />
- </g>
- <g
- style="fill:rgb(100%,50%,50%);fill-opacity:1;"
- id="g230">
- <use
- xlink:href="#glyph3-2"
- x="144.873569"
- y="38.77234"
- id="use228" />
- </g>
- <g
- style="fill:rgb(100%,50%,50%);fill-opacity:1;"
- id="g234">
- <use
- xlink:href="#glyph4-4"
- x="149.194505"
- y="40.254655"
- id="use232" />
- </g>
- <g
- style="fill:rgb(100%,50%,50%);fill-opacity:1;"
- id="g238">
- <use
- xlink:href="#glyph3-3"
- x="153.62855"
- y="38.77234"
- id="use236" />
- </g>
- <g
- style="fill:rgb(100%,50%,50%);fill-opacity:1;"
- id="g242">
- <use
- xlink:href="#glyph3-4"
- x="158.007461"
- y="38.77234"
- id="use240" />
- </g>
- <g
- style="fill:rgb(100%,50%,50%);fill-opacity:1;"
- id="g246">
- <use
- xlink:href="#glyph4-4"
- x="162.300187"
- y="40.254655"
- id="use244" />
- </g>
+ id="path224" />
+ </g>
+ <g
+ style="fill:#ff7f7f;fill-opacity:1"
+ id="g230">
+ <use
+ xlink:href="#glyph3-2"
+ x="144.87357"
+ y="38.772339"
+ id="use228"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#ff7f7f;fill-opacity:1"
+ id="g234">
+ <use
+ xlink:href="#glyph4-4"
+ x="149.1945"
+ y="40.254654"
+ id="use232"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#ff7f7f;fill-opacity:1"
+ id="g238">
+ <use
+ xlink:href="#glyph3-3"
+ x="153.62856"
+ y="38.772339"
+ id="use236"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#ff7f7f;fill-opacity:1"
+ id="g242">
+ <use
+ xlink:href="#glyph3-4"
+ x="158.00746"
+ y="38.772339"
+ id="use240"
+ width="100%"
+ height="100%" />
+ </g>
+ <g
+ style="fill:#ff7f7f;fill-opacity:1"
+ id="g246">
+ <use
+ xlink:href="#glyph4-4"
+ x="162.30019"
+ y="40.254654"
+ id="use244"
+ width="100%"
+ height="100%" />
</g>
</svg>
diff --git a/doc/poster/poster_draft_17122021.pdf b/doc/poster/poster_draft_17122021.pdf
new file mode 100644
index 0000000..b0d8d85
--- /dev/null
+++ b/doc/poster/poster_draft_17122021.pdf
Binary files differ
diff --git a/doc/thesis/Fading.tex b/doc/thesis/Fading.tex
index f303403..66d3432 100644
--- a/doc/thesis/Fading.tex
+++ b/doc/thesis/Fading.tex
@@ -155,39 +155,41 @@
\bottomrule
\end{tabularx}
\cleardoublepage
- %TODO: Alphabetisch ortnen
+
\chapter*{List of Acronyms}
- \noindent %
- \begin{tabularx}{\linewidth}{>{\(}c<{\)} X}
+ \noindent
+ \begin{tabularx}{\linewidth}{l X}
\toprule
- % \textbf{Notation} & \bfseries Description \\
- % \midrule
- IoT & internet of things\\
- QAM & quadrature amplitude\\
- QPSK & quadrature phase shift keying\\
- PSK & phase shift keying\\
- SDR & software defined radio\\
- BER & bit error rate\\
- AWGN & additive white Gaussian noise\\
- LTV & linear time-varying system\\
- LTI & inear time invariant\\
- FIR & finite impulse response (filter)\\
- CIR & channel impulse response\\
- WSSUS & Wide Sense Stationary Uncorrelated Scaterring\\
- WSS & Wide Sense Stationary\\
- NLOS & no line of sight\\
- LOS & line of sight\\
- GR & GNU Radio\\
- GRC & GNU Radio Companion\\
- DPG & Dear PyGUI\\
- IMGUI & immediate graphical user interface\\
- IP & Internet Protocol\\
- UDP & User Datagram Protocol\\
- API & Application Programming Interface\\
- PDP & Power delay profile \\
- MSB & most significant bit\\
- CAZAC& constant amplitude zero autocorrelation waveform\\
-
+ \bfseries Acronym & \bfseries Description \\
+ \midrule
+ API & Application Programming Interface \\
+ AWGN & Additive White Gaussian Noise \\
+ BER & Bit Error Rate \\
+ CAZAC & Constant Amplitude Zero Autocorrelation Waveform \\
+ CIR & Channel Impulse Response \\
+ DPG & Dear PyGUI \\
+ ETSI & European Telecommunication Standards Insitite \\
+ FIR & Finite Impulse Response \\
+ GR & GNU Radio \\
+ GRC & GNU Radio Companion \\
+ GSM & Global System for Mobile communication \\
+ IMGUI & Immediate Graphical User Interface \\
+ IP & Internet Protocol \\
+ IoT & Internet of Things \\
+ LOS & Line of Sight \\
+ LTI & Linear Time Invariant \\
+ LTV & Linear Time-Varying \\
+ MSB & Most Significant Bit \\
+ NLOS & No Line Of Sight \\
+ PDP & Power Delay Profile \\
+ PSK & Phase Shift Keying \\
+ QAM & Quadrature Amplitude \\
+ QPSK & Quadrature Phase Shift Keying \\
+ SDR & Software Defined radio \\
+ UDP & User Datagram Protocol \\
+ US & Uncorrelated Scattering \\
+ WSS & Wide Sense Stationary \\
+ WSSUS & Wide Sense Stationary Uncorrelated Scaterring \\
\bottomrule
\end{tabularx}
\cleardoublepage
diff --git a/doc/thesis/chapters/theory.tex b/doc/thesis/chapters/theory.tex
index 6420de2..6e0c3cc 100644
--- a/doc/thesis/chapters/theory.tex
+++ b/doc/thesis/chapters/theory.tex
@@ -325,14 +325,19 @@ for a minimal error in the approximation. It is worth mentioning that it is also
Because as mentioned earlier it is difficult to estimate the time-dependent parameters of \(h_l(m)\) in many cases it is easier to model the components of the CIR as stochastic processes, thus greatly reducing the number of parameters \cite{Messier,Mathis}. This is especially effective for channels that are constantly changing, because by the central limit theorem the cumulative effect of many small changes tends to a normal distribution.
% \skelpar[3]{Assumptions of the model}
-Before discussing the models themselves, their underlying statistical assumptions need to be considered. In the literature the so called WSSUS assumptions are made, which for a discrete time CIR \(h_l(m)\) can be formulated as
+Before discussing the models themselves, their underlying statistical assumptions need to be considered. In the literature the so called WSSUS assumptions are made, which for a LTV CIR \(h(\tau, t)\) can be formulated as
\begin{subequations}
\begin{align}
- R_{l} (k) &= \E{h_l(m) h_l^*(m+k)}, \text{ and } \label{eqn:stat-wss} \\
- 0 &= \E{h_l(m) h_k^*(m)} \text { for } l \neq k. \label{eqn:stat-us}
+ R(\tau') &= \E{h(\tau, t) h^*(\tau + \tau', t)}, \text{ and } \label{eqn:stat-wss} \\
+ 0 &= \E{h(\tau, t) h^*(\tau, t')} \text { for } t \neq t'. \label{eqn:stat-us}
\end{align}
+ % discrete time version
+ % \begin{align}
+ % R_{l} (k) &= \E{h_l(m) h_l^*(m+k)}, \text{ and } \label{eqn:stat-wss} \\
+ % 0 &= \E{h_l(m) h_k^*(m)} \text { for } l \neq k. \label{eqn:stat-us}
+ % \end{align}
\end{subequations}
-Equation \eqref{eqn:stat-wss} states that the fading CIR is a \emph{wide sense stationary} stochastic process, while \eqref{eqn:stat-us} is the \emph{uncorrelated scattering} assumption, which says that the path do not interfere with each other. The latter is more realistic than the former, but WSS is still useful as it considerably simplifies the mathematical formulation \cite{Messier}.
+Equation \eqref{eqn:stat-wss} states that the fading CIR is a \emph{wide sense stationary} (WSS) stochastic process, while \eqref{eqn:stat-us} is the \emph{uncorrelated scattering} assumption, which loosely speaking states that the path do not interfere with each other. The latter is more realistic than the former, but WSS is still useful as it considerably simplifies the mathematical formulation \cite{Messier}.
\paragraph{NLOS case}
@@ -344,8 +349,8 @@ Multipath fading is a form of multiplicative noise, as mathematically confirmed
= e^{j\omega_c \tau} \sum_k c_k(t) e^{-j\omega_c \tau_k(t)}
= e^{j\omega_c \tau} \cdot f(t).
\end{equation}
-If there is no line of sight (NLOS), it is reasonable to assume that all path have more or less the same attenuation, i.e. all \(c_k\) are the same. Another reasonable assumption in this case is that all paths are equally likely to be taken, or in other words the delays \(-\omega_c \tau_k\) can be replaced with random variables \(\vartheta_k\) that are uniformly distributed on \([0,2\pi)\) \cite{Hoher2013,Mathis}. Finally, assuming that there are infinitely many paths the random variable for the multiplicative fading noise becomes
-\begin{equation}
+If there is no line of sight (NLOS), it is reasonable to assume that all path have more or less the same attenuation, i.e. all \(c_k\) are the same. Another reasonable assumption in this case is that all paths are equally likely to be taken, or in other words the delays \(-\omega_c \tau_k\) can be replaced with random variables \(\vartheta_k\) that are uniformly distributed on \([0,2\pi)\) \cite{Hoher2013,Mathis}; physically this can be imagined as a ``ring of scattering objects'' around the receiver\cite{Messier}, as shown in \figref{fig:ring-of-scattering-objects} (without the red line of sight signal). Finally, assuming that there are infinitely many paths the random variable for the multiplicative fading noise becomes
+\begin{equation} \label{eqn:mult-fading-nlos}
f = \lim_{N\rightarrow\infty} \frac{1}{\sqrt{N}}
\sum_{k=1}^{N} e^{j \vartheta_k },
\end{equation}
@@ -353,14 +358,17 @@ where the \(c_k\) where omitted, since they are assumed to be all equal. The fac
\begin{equation}
p(a)= 2a e^{-a^2}, \text{ or } |f| \sim \mathcal{R},
\end{equation}
-i.e. the amplitude of \(f\) is \emph{Raileigh} distributed.
+i.e. the amplitude of \(f\) is \emph{Raileigh} distributed. The probability density function of a Rayleigh distributed random variable is shown in \figref{fig:rayleigh-rice-pdf}.
\begin{figure}
\centering
\hfill
\begin{subfigure}[t]{.5\linewidth}
\input{figures/tikz/rayleigh-rice-pdf-plots}
- \caption{Amplitude density.}
+ \caption{
+ Amplitude density \(p(a)\).
+ \label{fig:rayleigh-rice-pdf}
+ }
\end{subfigure}
\hfill
\begin{subfigure}[t]{.45\linewidth}
@@ -368,7 +376,10 @@ i.e. the amplitude of \(f\) is \emph{Raileigh} distributed.
\resizebox{!}{5cm}{%
\input{figures/tikz/ring-of-scattering-objects}
}
- \caption{Ring of scattering objects.}
+ \caption{
+ Ring of scattering objects.
+ \label{fig:ring-of-scattering-objects}
+ }
\end{subfigure}
\hfill
\caption{
@@ -377,30 +388,27 @@ i.e. the amplitude of \(f\) is \emph{Raileigh} distributed.
}
\end{figure}
-
\paragraph{LOS case}
-In the case of the Ricean distribution model the line of side exist, which means that one of the paths have a straight communication line from the transmitter to the reviser. So there are in addition to the Rayleight model direct components, whish are also gaussian distributed.
-
-\begin{equation} \label{eqn:rician fading}
- f(t) = \sqrt{\frac{K}{K+1}}+\lim_{N\rightarrow\infty}\frac{1}{\sqrt{K+1}} \frac{1}{\sqrt{N}}\sum_{n=1}^{N} e^{j \vartheta_k }.
-\end{equation}
-
-The factor \(K\) named Ricean factor it is the ratio of the line of side power to the average power of the distributed components.
-The Phase for the strait line component has no influences for the Random process therefore there set to zero. In the case when \(K = 0 \)
-the Rician distribution becomes a Rayleight distribution on the other hand when \(K\rightarrow \infty \) the distribution becomes an AWGN-channel model (additive white Gaussian noise). When \(K > 0 \) is the phase not equally distributed.
-
-For this distribution model the expectation value for the real part is \(\E{\Re{f(t)}}=\sqrt{\frac{K}{K+1}} \) and for the imaginary part \(\E{\Im{f(t)}}=0\)
-
-So the probability function of the amplitude in this case is:
-\begin{equation} \label{eqn:rician_fading_probabilety_dencety}
- p(a)= 2a(1+K)e^{(-K-{a}^2(K+1))}\cdot I_0(2a\sqrt{K(1+K)})
+Extending the previous NLOS case, if there is a line of sight (LOS) path (red signal in \figref{fig:ring-of-scattering-objects}), the statistical model has to be extended by defining the so called Rice factor \(K\). This \(K\) factor is the ratio between the power from the LOS path and the average power of the NLOS paths (often also referred to as distributed components). Hence, by taking \(K\) into account \eqref{eqn:mult-fading-nlos} becomes
+\begin{equation} \label{eqn:mult-fading-los}
+ f = \sqrt{\frac{K}{K+1}} +
+ \frac{1}{\sqrt{K+1}} \left(
+ \lim_{N\rightarrow\infty}
+ \frac{1}{\sqrt{N}}\sum_{n=1}^{N} e^{j \vartheta_k}
+ \right).
+\end{equation}
+Notice that by letting \(K = 0\), that is no power in the LOS path, \eqref{eqn:mult-fading-los} becomes \eqref{eqn:mult-fading-nlos} or Rayleigh distributed (as expected). Conversely when \(K \to \infty\), i.e. no power in the NLOS paths, then \(f \to 1\) and so the fading disappears. The new amplitude density in this case is:
+\begin{equation}
+ p(a)= 2a(1+K) \exp{\left(-K -a^2 (K+1) \right)} I_0 \left(2a\sqrt{K(1+K)} \right),
\end{equation}
+where \(I_0\) the zeroth order modified Bessel function.
-Where \(I_0\) the zero ordered modified besselfunction represent.
+% The Phase for the strait line component has no influences for the Random process therefore there set to zero. In the case when \(K = 0\).
+% the Rician distribution becomes a Rayleight distribution on the other hand when \(K\rightarrow \infty \) the distribution becomes an AWGN-channel model (additive white Gaussian noise). When \(K > 0 \) is the phase not equally distributed.
+% For this distribution model the expectation value for the real part is \(\E{\Re{f(t)}}=\sqrt{\frac{K}{K+1}} \) and for the imaginary part \(\E{\Im{f(t)}}=0\)
%\begin{equation}
% \Re{h_l(n)}, \Im{h_l(n)}
% \sim \mathcal{N} \left( \frac{A_l}{\sqrt{2}}, \frac{1}{2} \sigma_l^2 \right)
%\end{equation}
-\skelpar[4]