diff options
| author | Yuval Adam <_@yuv.al> | 2018-05-20 14:07:57 +0300 |
|---|---|---|
| committer | Yuval Adam <_@yuv.al> | 2018-05-20 14:07:57 +0300 |
| commit | 199668d4f4c6ed65a3da3b679ccecb7f3360b43c (patch) | |
| tree | fa5c0c9b37320e5b3cdad649e8b5d329b5a02b8e | |
| parent | b18464bc8fabad4ca71ad9e03280cff9f5d1f246 (diff) | |
More slide updates
| -rw-r--r-- | modulations.ipynb | 131 | ||||
| -rw-r--r-- | static/adsb.png | bin | 0 -> 2690393 bytes | |||
| -rw-r--r-- | static/iot.jpg | bin | 0 -> 334359 bytes | |||
| -rw-r--r-- | static/noaa.jpg | bin | 0 -> 357398 bytes | |||
| -rw-r--r-- | static/radio.jpg | bin | 0 -> 43620 bytes | |||
| -rw-r--r-- | talk.ipynb | 100 | ||||
| -rw-r--r-- | talk.slides.html | 103 |
7 files changed, 195 insertions, 139 deletions
diff --git a/modulations.ipynb b/modulations.ipynb index 578499c..0a25efd 100644 --- a/modulations.ipynb +++ b/modulations.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -12,14 +12,24 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 46, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", "text/plain": [ - "<Figure size 432x288 with 4 Axes>" + "Text(0.5,0,'Output signal')" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 3 Axes>" ] }, "metadata": {}, @@ -40,29 +50,67 @@ "for i, t in enumerate(time):\n", " product[i] = np.sin(2. * np.pi * (carrier_frequency * t + modulator[i]))\n", "\n", + "plt.subplot(3, 1, 1)\n", + "plt.title('Frequency Modulation')\n", + "plt.plot(modulator)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Modulator signal')\n", + "\n", + "plt.subplot(3, 1, 2)\n", + "plt.plot(carrier)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Carrier signal')\n", + "\n", + "plt.subplot(3, 1, 3)\n", + "plt.plot(product)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Output signal')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "modulator_frequency = 2.0\n", + "carrier_frequency = 60.0\n", + "modulation_index = 1.0\n", + "size = 44100.0 * 2\n", + "\n", + "time = np.arange(size) / size\n", + "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", + "carrier = np.sin(2.0 * np.pi * carrier_frequency * time)\n", + "\n", "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", "amp = np.zeros_like(modulator)\n", "for i, t in enumerate(time):\n", " amp[i] = np.sin(2. * np.pi * (carrier_frequency * t * modulator[i]))\n", "\n", "\n", - "plt.subplot(4, 1, 1)\n", - "plt.title('Frequency Modulation')\n", + "plt.subplot(3, 1, 1)\n", + "plt.title('Amplitude Modulation')\n", "plt.plot(modulator)\n", "plt.ylabel('Amplitude')\n", "plt.xlabel('Modulator signal')\n", "\n", - "plt.subplot(4, 1, 2)\n", + "plt.subplot(3, 1, 2)\n", "plt.plot(carrier)\n", "plt.ylabel('Amplitude')\n", "plt.xlabel('Carrier signal')\n", "\n", - "plt.subplot(4, 1, 3)\n", - "plt.plot(product)\n", - "plt.ylabel('Amplitude')\n", - "plt.xlabel('Output signal')\n", - "\n", - "plt.subplot(4, 1, 4)\n", + "plt.subplot(3, 1, 3)\n", "plt.plot(modulator * carrier)\n", "plt.ylabel('Amplitude')\n", "plt.xlabel('Output signal')\n", @@ -71,6 +119,63 @@ }, { "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5,0,'Output signal')" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 3 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "modulator_frequency = 4.0\n", + "carrier_frequency = 40.0\n", + "modulation_index = 1.0\n", + "size = 44100.0 * 2\n", + "\n", + "time = np.arange(size) / size\n", + "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", + "carrier = np.cos(2.0 * np.pi * carrier_frequency * time)\n", + "\n", + "product = np.zeros_like(modulator)\n", + "for i, t in enumerate(time):\n", + " product[i] = np.cos((2.0 * np.pi * carrier_frequency * t) + modulator[i])\n", + "\n", + "plt.subplot(3, 1, 1)\n", + "plt.title('Frequency Modulation')\n", + "plt.plot(modulator)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Modulator signal')\n", + "\n", + "plt.subplot(3, 1, 2)\n", + "plt.plot(carrier)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Carrier signal')\n", + "\n", + "plt.subplot(3, 1, 3)\n", + "plt.plot(product)\n", + "plt.ylabel('Amplitude')\n", + "plt.xlabel('Output signal')" + ] + }, + { + "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], diff --git a/static/adsb.png b/static/adsb.png Binary files differnew file mode 100644 index 0000000..94f7ae7 --- /dev/null +++ b/static/adsb.png diff --git a/static/iot.jpg b/static/iot.jpg Binary files differnew file mode 100644 index 0000000..c60bdea --- /dev/null +++ b/static/iot.jpg diff --git a/static/noaa.jpg b/static/noaa.jpg Binary files differnew file mode 100644 index 0000000..6216070 --- /dev/null +++ b/static/noaa.jpg diff --git a/static/radio.jpg b/static/radio.jpg Binary files differnew file mode 100644 index 0000000..9ea5681 --- /dev/null +++ b/static/radio.jpg @@ -70,7 +70,18 @@ "source": [ "## Radio Waves\n", "\n", - "\n" + "\n", + "\n", + "*Source: https://en.wikipedia.org/wiki/Antenna_(radio)*\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hardware Radio\n", + "\n", + "" ] }, { @@ -81,14 +92,18 @@ } }, "source": [ - "## RTL-SDR\n", + "## Software-Defined Radio\n", "\n", "" ] }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, "source": [ "## What's it good for\n", "\n", @@ -103,13 +118,13 @@ "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "subslide" } }, "source": [ - "# I/Q Sampling\n", + "## Airplane Location Tracking (ADSB)\n", "\n", - "" + "" ] }, { @@ -120,98 +135,69 @@ } }, "source": [ - "## I/Q Sampling\n", + "## Weather Satellites\n", "\n", - "" + "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "slide" + "slide_type": "subslide" } }, "source": [ - "## Modulations\n", + "## Internet of Things\n", + "\n", + "\n", "\n", - "" + "*Source: https://blog.hackster.io/iot-devices-may-be-susceptible-to-replay-attacks-with-a-raspberry-pi-and-rtl-sdr-dongle-de6eca268fbf*" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, - "outputs": [], "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt" + "# I/Q Sampling\n", + "\n", + "\n", + "\n", + "*Source: http://whiteboard.ping.se/SDR/IQ*" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, - "outputs": [], "source": [ - "modulator_frequency = 4.0\n", - "carrier_frequency = 40.0\n", - "modulation_index = 1.0\n", - "size = 44100.0 * 2\n", - "\n", - "time = np.arange(size) / size\n", - "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", - "carrier = np.sin(2.0 * np.pi * carrier_frequency * time)\n", + "## I/Q Sampling\n", "\n", - "product = np.zeros_like(modulator)\n", - "for i, t in enumerate(time):\n", - " product[i] = np.sin(2. * np.pi * (carrier_frequency * t + modulator[i]))\n", + "\n", "\n", - "modulator = np.sin(2.0 * np.pi * modulator_frequency * time) * modulation_index\n", - "amp = np.zeros_like(modulator)\n", - "for i, t in enumerate(time):\n", - " amp[i] = np.sin(2. * np.pi * (carrier_frequency * t * modulator[i]))" + "*Source: http://whiteboard.ping.se/SDR/IQ*" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": { "slideshow": { - "slide_type": "subslide" + "slide_type": "slide" } }, - "outputs": [], "source": [ - "plt.subplot(4, 1, 1)\n", - "plt.title('Frequency Modulation')\n", - "plt.plot(modulator)\n", - "plt.ylabel('Amplitude')\n", - "plt.xlabel('Modulator signal')\n", - "\n", - "plt.subplot(4, 1, 2)\n", - "plt.plot(carrier)\n", - "plt.ylabel('Amplitude')\n", - "plt.xlabel('Carrier signal')\n", + "## Modulations\n", "\n", - "plt.subplot(4, 1, 3)\n", - "plt.plot(product)\n", - "plt.ylabel('Amplitude')\n", - "plt.xlabel('Output signal')\n", + "\n", "\n", - "plt.subplot(4, 1, 4)\n", - "plt.plot(modulator * carrier)\n", - "plt.ylabel('Amplitude')\n", - "plt.xlabel('Output signal')\n", - "plt.show()" + "*Source: http://mriquestions.com/signal-squiggles.html*" ] }, { diff --git a/talk.slides.html b/talk.slides.html index d88e18d..31d711f 100644 --- a/talk.slides.html +++ b/talk.slides.html @@ -11953,20 +11953,30 @@ a.anchor-link { </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Radio-Waves">Radio Waves<a class="anchor-link" href="#Radio-Waves">¶</a></h2><p><img src="static/dipole3.gif" alt="static/dipole.gif"></p> +<h2 id="Radio-Waves">Radio Waves<a class="anchor-link" href="#Radio-Waves">¶</a></h2><p><img src="static/dipole.gif" alt="static/dipole.gif"></p> +<p><em>Source: <a href="https://en.wikipedia.org/wiki/Antenna_(radio">https://en.wikipedia.org/wiki/Antenna_(radio</a>)</em></p> </div> </div> -</div></section></section><section><section> +</div> <div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="RTL-SDR">RTL-SDR<a class="anchor-link" href="#RTL-SDR">¶</a></h2><p><img src="static/rtlsdr.jpg" alt="rtlsdr.jpg"></p> +<h2 id="Hardware-Radio">Hardware Radio<a class="anchor-link" href="#Hardware-Radio">¶</a></h2><p><img src="static/radio.jpg" alt="static/radio.jpg"></p> </div> </div> +</div></section></section><section><section> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> +<div class="inner_cell"> +<div class="text_cell_render border-box-sizing rendered_html"> +<h2 id="Software-Defined-Radio">Software-Defined Radio<a class="anchor-link" href="#Software-Defined-Radio">¶</a></h2><p><img src="static/rtlsdr.jpg" alt="rtlsdr.jpg"></p> + +</div> </div> +</div></section><section> <div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> </div> <div class="inner_cell"> @@ -11981,12 +11991,12 @@ a.anchor-link { </div> </div> -</div></section></section><section><section> +</div></section><section> <div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h1 id="I/Q-Sampling">I/Q Sampling<a class="anchor-link" href="#I/Q-Sampling">¶</a></h1><p><img src="static/cosample.png" alt="static/cosample.png"></p> +<h2 id="Airplane-Location-Tracking-(ADSB)">Airplane Location Tracking (ADSB)<a class="anchor-link" href="#Airplane-Location-Tracking-(ADSB)">¶</a></h2><p><img src="static/adsb.png" alt="static/adsb.png"></p> </div> </div> @@ -11995,95 +12005,50 @@ a.anchor-link { </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="I/Q-Sampling">I/Q Sampling<a class="anchor-link" href="#I/Q-Sampling">¶</a></h2><p><img src="static/corkscrew.png" alt="static/corkscrew.png"></p> +<h2 id="Weather-Satellites">Weather Satellites<a class="anchor-link" href="#Weather-Satellites">¶</a></h2><p><img src="static/noaa.jpg" alt="static/noaa.jpg"></p> </div> </div> -</div></section></section><section><section> +</div></section><section> <div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> </div> <div class="inner_cell"> <div class="text_cell_render border-box-sizing rendered_html"> -<h2 id="Modulations">Modulations<a class="anchor-link" href="#Modulations">¶</a></h2><p><img src="static/amfm2.gif" alt="static/amfm2.gif"></p> +<h2 id="Internet-of-Things">Internet of Things<a class="anchor-link" href="#Internet-of-Things">¶</a></h2><p><img src="static/iot.jpg" alt="static/iot.jpg"></p> +<p><em>Source: <a href="https://blog.hackster.io/iot-devices-may-be-susceptible-to-replay-attacks-with-a-raspberry-pi-and-rtl-sdr-dongle-de6eca268fbf">https://blog.hackster.io/iot-devices-may-be-susceptible-to-replay-attacks-with-a-raspberry-pi-and-rtl-sdr-dongle-de6eca268fbf</a></em></p> </div> </div> </div></section></section><section><section> -<div class="cell border-box-sizing code_cell rendered"> -<div class="input"> -<div class="prompt input_prompt">In [ ]:</div> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> <div class="inner_cell"> - <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span> -<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span> -</pre></div> +<div class="text_cell_render border-box-sizing rendered_html"> +<h1 id="I/Q-Sampling">I/Q Sampling<a class="anchor-link" href="#I/Q-Sampling">¶</a></h1><p><img src="static/cosample.png" alt="static/cosample.png"></p> +<p><em>Source: <a href="http://whiteboard.ping.se/SDR/IQ">http://whiteboard.ping.se/SDR/IQ</a></em></p> </div> </div> -</div> - </div></section><section> -<div class="cell border-box-sizing code_cell rendered"> -<div class="input"> -<div class="prompt input_prompt">In [ ]:</div> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> +</div> <div class="inner_cell"> - <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">modulator_frequency</span> <span class="o">=</span> <span class="mf">4.0</span> -<span class="n">carrier_frequency</span> <span class="o">=</span> <span class="mf">40.0</span> -<span class="n">modulation_index</span> <span class="o">=</span> <span class="mf">1.0</span> -<span class="n">size</span> <span class="o">=</span> <span class="mf">44100.0</span> <span class="o">*</span> <span class="mi">2</span> - -<span class="n">time</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">size</span><span class="p">)</span> <span class="o">/</span> <span class="n">size</span> -<span class="n">modulator</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="n">modulator_frequency</span> <span class="o">*</span> <span class="n">time</span><span class="p">)</span> <span class="o">*</span> <span class="n">modulation_index</span> -<span class="n">carrier</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="n">carrier_frequency</span> <span class="o">*</span> <span class="n">time</span><span class="p">)</span> - -<span class="n">product</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros_like</span><span class="p">(</span><span class="n">modulator</span><span class="p">)</span> -<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">time</span><span class="p">):</span> - <span class="n">product</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="p">(</span><span class="n">carrier_frequency</span> <span class="o">*</span> <span class="n">t</span> <span class="o">+</span> <span class="n">modulator</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span> - -<span class="n">modulator</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="n">modulator_frequency</span> <span class="o">*</span> <span class="n">time</span><span class="p">)</span> <span class="o">*</span> <span class="n">modulation_index</span> -<span class="n">amp</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros_like</span><span class="p">(</span><span class="n">modulator</span><span class="p">)</span> -<span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">time</span><span class="p">):</span> - <span class="n">amp</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mf">2.</span> <span class="o">*</span> <span class="n">np</span><span class="o">.</span><span class="n">pi</span> <span class="o">*</span> <span class="p">(</span><span class="n">carrier_frequency</span> <span class="o">*</span> <span class="n">t</span> <span class="o">*</span> <span class="n">modulator</span><span class="p">[</span><span class="n">i</span><span class="p">]))</span> -</pre></div> +<div class="text_cell_render border-box-sizing rendered_html"> +<h2 id="I/Q-Sampling">I/Q Sampling<a class="anchor-link" href="#I/Q-Sampling">¶</a></h2><p><img src="static/corkscrew.png" alt="static/corkscrew.png"></p> +<p><em>Source: <a href="http://whiteboard.ping.se/SDR/IQ">http://whiteboard.ping.se/SDR/IQ</a></em></p> </div> </div> +</div></section></section><section><section> +<div class="cell border-box-sizing text_cell rendered"><div class="prompt input_prompt"> </div> - -</div></section><section> -<div class="cell border-box-sizing code_cell rendered"> -<div class="input"> -<div class="prompt input_prompt">In [ ]:</div> <div class="inner_cell"> - <div class="input_area"> -<div class=" highlight hl-ipython3"><pre><span></span><span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Frequency Modulation'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">modulator</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'Amplitude'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'Modulator signal'</span><span class="p">)</span> - -<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">carrier</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'Amplitude'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'Carrier signal'</span><span class="p">)</span> - -<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">product</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'Amplitude'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'Output signal'</span><span class="p">)</span> - -<span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">modulator</span> <span class="o">*</span> <span class="n">carrier</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'Amplitude'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'Output signal'</span><span class="p">)</span> -<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span> -</pre></div> +<div class="text_cell_render border-box-sizing rendered_html"> +<h2 id="Modulations">Modulations<a class="anchor-link" href="#Modulations">¶</a></h2><p><img src="static/amfm2.gif" alt="static/amfm2.gif"></p> +<p><em>Source: <a href="http://mriquestions.com/signal-squiggles.html">http://mriquestions.com/signal-squiggles.html</a></em></p> </div> </div> -</div> - </div></section></section><section><section> <div class="cell border-box-sizing code_cell rendered"> <div class="input"> |
