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signal_details.html
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signal_details.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>signal_details</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
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<h1 id="Signal-Details">Signal Details<a class="anchor-link" href="#Signal-Details">¶</a></h1><p>This notebook was based on a copy of the <code>decoder</code> notebook, now focused on getting the details I need about the signals to reproduce them with my own transmitter.</p>
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<h1 id="Decoding">Decoding<a class="anchor-link" href="#Decoding">¶</a></h1><p>Below follows a shortened version of the <code>decoder</code> notebook:</p>
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<div class="prompt input_prompt">In [189]:</div>
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<div class=" highlight hl-ipython2"><pre><span class="o">%</span><span class="k">matplotlib</span> inline
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="kn">as</span> <span class="nn">np</span>
<span class="kn">import</span> <span class="nn">pandas</span> <span class="kn">as</span> <span class="nn">pd</span>
<span class="n">csv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">genfromtxt</span><span class="p">(</span><span class="s">'data/a1on.csv'</span><span class="p">,</span> <span class="n">delimiter</span><span class="o">=</span><span class="s">','</span><span class="p">,</span> <span class="n">skip_header</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">usecols</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">))</span>
<span class="n">csv</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">transpose</span><span class="p">(</span><span class="n">csv</span><span class="p">)</span>
<span class="n">time</span> <span class="o">=</span> <span class="n">csv</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="mi">1000</span> <span class="c"># time in ms</span>
<span class="n">voltage</span> <span class="o">=</span> <span class="n">csv</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="k">def</span> <span class="nf">oscilloscope</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">width</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">height</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">start</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">stop</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">linewidth</span><span class="o">=</span><span class="mf">0.5</span><span class="p">):</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="n">width</span><span class="p">,</span> <span class="n">height</span><span class="p">))</span>
<span class="n">axes</span> <span class="o">=</span> <span class="n">fig</span><span class="o">.</span><span class="n">add_subplot</span><span class="p">(</span><span class="mi">111</span><span class="p">)</span>
<span class="n">axes</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">start</span><span class="p">:</span><span class="n">stop</span><span class="p">],</span> <span class="n">y</span><span class="p">[</span><span class="n">start</span><span class="p">:</span><span class="n">stop</span><span class="p">],</span> <span class="n">marker</span><span class="o">=</span><span class="s">'o'</span><span class="p">,</span> <span class="n">mec</span><span class="o">=</span><span class="s">'red'</span><span class="p">,</span> <span class="n">mfc</span><span class="o">=</span><span class="s">'red'</span><span class="p">,</span> <span class="n">markersize</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">linewidth</span><span class="o">=</span><span class="n">linewidth</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
<span class="n">oscilloscope</span><span class="p">(</span><span class="n">time</span><span class="p">,</span> <span class="n">voltage</span><span class="p">)</span>
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>
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<div class="prompt input_prompt">In [190]:</div>
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<div class=" highlight hl-ipython2"><pre><span class="n">digital_one</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">percentile</span><span class="p">(</span><span class="n">voltage</span><span class="p">,</span> <span class="mi">90</span><span class="p">)</span>
<span class="n">digital_stream</span> <span class="o">=</span> <span class="n">voltage</span> <span class="o">/</span> <span class="n">digital_one</span>
<span class="n">digital_stream</span> <span class="o">=</span> <span class="n">digital_stream</span><span class="o">.</span><span class="n">round</span><span class="p">()</span><span class="o">.</span><span class="n">astype</span><span class="p">(</span><span class="nb">int</span><span class="p">)</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">start</span> <span class="o">=</span> <span class="mi">43</span>
<span class="n">stop</span> <span class="o">=</span> <span class="mi">80</span>
<span class="k">def</span> <span class="nf">find_nearest</span><span class="p">(</span><span class="n">array</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
<span class="n">idx</span> <span class="o">=</span> <span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">array</span><span class="o">-</span><span class="n">value</span><span class="p">))</span><span class="o">.</span><span class="n">argmin</span><span class="p">()</span>
<span class="k">return</span> <span class="n">array</span><span class="p">[</span><span class="n">idx</span><span class="p">]</span>
<span class="n">start_index</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">tolist</span><span class="p">()</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">find_nearest</span><span class="p">(</span><span class="n">time</span><span class="p">,</span> <span class="n">start</span><span class="p">))</span>
<span class="n">stop_index</span> <span class="o">=</span> <span class="n">time</span><span class="o">.</span><span class="n">tolist</span><span class="p">()</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">find_nearest</span><span class="p">(</span><span class="n">time</span><span class="p">,</span> <span class="n">stop</span><span class="p">))</span>
<span class="c">#oscilloscope(time, digital_stream, height=3, start=start_index, stop=stop_index, width=20, linewidth=3)</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">number_of_data_points</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">digital_stream</span><span class="p">)</span>
<span class="n">first_capture_time</span> <span class="o">=</span> <span class="n">time</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">last_capture_time</span> <span class="o">=</span> <span class="n">time</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
<span class="n">total_capture_duration</span> <span class="o">=</span> <span class="n">last_capture_time</span> <span class="o">-</span> <span class="n">first_capture_time</span>
<span class="n">single_data_point_duration</span> <span class="o">=</span> <span class="n">total_capture_duration</span> <span class="o">/</span> <span class="p">(</span><span class="n">number_of_data_points</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span> <span class="o">*</span> <span class="mi">1000</span>
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<div class="prompt input_prompt">In [193]:</div>
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<div class=" highlight hl-ipython2"><pre><span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">namedtuple</span>
<span class="n">Signal</span> <span class="o">=</span> <span class="n">namedtuple</span><span class="p">(</span><span class="s">'Signal'</span><span class="p">,</span> <span class="p">[</span><span class="s">'high'</span><span class="p">,</span> <span class="s">'duration'</span><span class="p">])</span>
<span class="n">HIGH</span> <span class="o">=</span> <span class="mi">1</span>
<span class="n">signals</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">first</span> <span class="o">=</span> <span class="bp">True</span>
<span class="n">previous</span> <span class="o">=</span> <span class="bp">None</span>
<span class="n">duration</span> <span class="o">=</span> <span class="bp">None</span>
<span class="n">last_index</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">digital_stream</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">x</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">digital_stream</span><span class="p">):</span>
<span class="k">if</span> <span class="n">first</span><span class="p">:</span>
<span class="n">first</span> <span class="o">=</span> <span class="bp">False</span>
<span class="n">previous</span> <span class="o">=</span> <span class="n">x</span>
<span class="n">duration</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">continue</span><span class="p">;</span>
<span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="n">last_index</span> <span class="ow">or</span> <span class="n">x</span> <span class="o">!=</span> <span class="n">previous</span><span class="p">:</span>
<span class="n">high</span> <span class="o">=</span> <span class="n">previous</span> <span class="o">==</span> <span class="n">HIGH</span>
<span class="n">s</span> <span class="o">=</span> <span class="n">Signal</span><span class="p">(</span><span class="n">high</span><span class="o">=</span><span class="n">high</span><span class="p">,</span> <span class="n">duration</span><span class="o">=</span><span class="n">duration</span><span class="p">)</span>
<span class="n">signals</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">previous</span> <span class="o">=</span> <span class="n">x</span>
<span class="n">duration</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">duration</span> <span class="o">+=</span> <span class="mi">1</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">signal_pairs</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">first</span> <span class="o">=</span> <span class="bp">None</span>
<span class="k">for</span> <span class="n">index</span><span class="p">,</span> <span class="n">s</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">signals</span><span class="p">):</span>
<span class="k">if</span> <span class="n">index</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">and</span> <span class="n">s</span><span class="o">.</span><span class="n">high</span> <span class="o">!=</span> <span class="bp">True</span><span class="p">:</span>
<span class="c"># If the data begins with a low signal, drop it.</span>
<span class="k">continue</span><span class="p">;</span>
<span class="k">if</span> <span class="n">first</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
<span class="n">first</span> <span class="o">=</span> <span class="n">s</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">signal_pairs</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">first</span><span class="p">,</span> <span class="n">s</span><span class="p">))</span>
<span class="n">first</span> <span class="o">=</span> <span class="bp">None</span>
<span class="c">#print pd.DataFrame(data=signal_pairs)</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">pair_durations</span> <span class="o">=</span> <span class="p">[</span><span class="n">pair</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">duration</span> <span class="o">+</span> <span class="n">pair</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">.</span><span class="n">duration</span> <span class="k">for</span> <span class="n">pair</span> <span class="ow">in</span> <span class="n">signal_pairs</span><span class="p">]</span>
<span class="c">#print pair_durations</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">counts</span><span class="p">,</span> <span class="n">values</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">histogram</span><span class="p">(</span><span class="n">pair_durations</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">print_table</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">columns</span><span class="p">):</span>
<span class="k">print</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">data</span><span class="p">,</span> <span class="n">columns</span><span class="o">=</span><span class="n">columns</span><span class="p">)</span>
<span class="c">#print_table(zip(counts, values), ['count', 'bucket'])</span>
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<div class=" highlight hl-ipython2"><pre><span class="c">#plt.hist(pair_durations)</span>
<span class="c">#plt.show()</span>
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<div class=" highlight hl-ipython2"><pre><span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">Counter</span>
<span class="n">c</span> <span class="o">=</span> <span class="n">Counter</span><span class="p">(</span><span class="n">pair_durations</span><span class="p">)</span>
<span class="c">#print c</span>
<span class="n">signal_pair_duration</span> <span class="o">=</span> <span class="n">c</span><span class="o">.</span><span class="n">most_common</span><span class="p">()[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span>
<span class="c">#print signal_pair_duration</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">separator_limit</span> <span class="o">=</span> <span class="n">signal_pair_duration</span> <span class="o">*</span> <span class="mi">2</span>
<span class="n">pauses</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">messages</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">message</span> <span class="o">=</span> <span class="p">[]</span>
<span class="n">last_pair_index</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">signal_pairs</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">sp</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">signal_pairs</span><span class="p">):</span>
<span class="c"># Detect separating signal</span>
<span class="n">high</span><span class="p">,</span> <span class="n">low</span> <span class="o">=</span> <span class="n">sp</span>
<span class="n">is_separating_signal</span> <span class="o">=</span> <span class="n">low</span><span class="o">.</span><span class="n">duration</span> <span class="o">></span> <span class="n">separator_limit</span>
<span class="c"># Normalize separating signals:</span>
<span class="c"># The signal that is closes to the most common signal pair duration is the reliable one of the pair.</span>
<span class="n">distance_to_high</span> <span class="o">=</span> <span class="nb">abs</span><span class="p">(</span><span class="n">signal_pair_duration</span> <span class="o">-</span> <span class="n">high</span><span class="o">.</span><span class="n">duration</span><span class="p">)</span>