From 34cfdcbaab302edabea0e6975ce86bfd05e28819 Mon Sep 17 00:00:00 2001 From: Cora Schneck <22159116+cyschneck@users.noreply.github.com> Date: Fri, 2 Aug 2024 13:25:41 -0600 Subject: [PATCH] Merge with main (#6) --- notebooks/example-workflows/nino3.ipynb | 5 +- .../wavelet-introduction/jingle_bells.wav | Bin 314026 -> 0 bytes .../wavelet-introduction/wavelet-basics.ipynb | 351 +++++++++++++++++- 3 files changed, 352 insertions(+), 4 deletions(-) delete mode 100644 notebooks/wavelet-introduction/jingle_bells.wav diff --git a/notebooks/example-workflows/nino3.ipynb b/notebooks/example-workflows/nino3.ipynb index e831b56..33ca71a 100644 --- a/notebooks/example-workflows/nino3.ipynb +++ b/notebooks/example-workflows/nino3.ipynb @@ -4,7 +4,6 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Weekly Sea Surface Temperature Patterns from NOAA\n", "

\n", " \"Weekly\n", "

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Background\n", "3. Load Wav File for Audio\n", "4. Fourier Transform - Frequency, but not Time\n", - "6. Wavelet Transform - Frequency and Time\n", - "7. Wavelet Terminology" + "5. Wavelet Transform - Frequency and Time\n", + "6. Wavelet Terminology" ] }, { @@ -111,11 +111,352 @@ "### Load .wav file data" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Load .wav file data" + ] + }, { "cell_type": "code", "execution_count": 16, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample Rate: 10000\n", + "duration = 15.6991 seconds (is the ratio of sample rate and data = 156991 / 10000)\n", + "length of audio file = 156991 time steps\n" + ] + } + ], + "source": [ + "print(f\"Sample Rate: {sample_rate}\")\n", + "print(f\"duration = {duration} seconds (is the ratio of sample rate and data = {len(signal_data)} / {sample_rate})\")\n", + "print(f\"length of audio file = {len(signal_data)} time steps\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Convert .wav file to pandas dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
time (seconds)amplitude
00.0000-417
10.0001-2660
20.0002-2491
30.00036441
40.0004-8540
\n", + "
" + ], + "text/plain": [ + " time (seconds) amplitude\n", + "0 0.0000 -417\n", + "1 0.0001 -2660\n", + "2 0.0002 -2491\n", + "3 0.0003 6441\n", + "4 0.0004 -8540" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "signal_df = pd.DataFrame({'time (seconds)': time, 'amplitude': signal_data})\n", + "signal_df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot a Small Sample of the .wav File" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "fig = plt.plot(signal_df[\"time (seconds)\"], signal_df[\"amplitude\"])\n", + "ax.set_xlim(signal_df[\"time (seconds)\"][100], signal_df[\"time (seconds)\"][400])\n", + "plt.title(\"Small Sample of the Audio File\")\n", + "plt.xlabel(\"Time (seconds)\")\n", + "plt.ylabel(\"Amplitude\")\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# note frequency in hz\n", + "a_freq = 440\n", + "b_freq = 494\n", + "c_freq = 261\n", + "d_freq = 293\n", + "e_freq = 330\n", + "f_freq = 350\n", + "g_freq = 392" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "| Note | Freq |\n", + "|--------|--------|\n", + "| A note | 440 hz |\n", + "| B note | 494 hz |\n", + "| C note | 261 hz |\n", + "| D note | 293 hz |\n", + "| E note | 330 hz |\n", + "| F note | 350 hz |\n", + "| G note | 392 hz |" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fourier Transform - Frequency, but not Time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Advantages (and Disadvantages) of Fourier Transform\n", + "\n", + "The first step of processing new data includes developing a basic understanding of the kinds of frequencies that are present. Are there prevailing patterns? Is one frequency more dominant? How much of the dominant frequencies overcome background noise?\n", + "\n", + "Fourier Transform is a tool that can be used to pull out frequencies from raw data. For a musical example, a Fourier Transform will return the frequencies of all the notes that are present. Jingle Bells is a simple muiscal piece that is taught to beginners and children since it can be entirely played with one hand: \n", + "\n", + "```\n", + "\"Jingle Bells, Jingle Bells, Jingle All the Way\" as EEE EEE EGCDE\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Fast Fourier Transform of Signal Data" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, "outputs": [], + "source": [ + "fourier_transform = abs(fft(signal_data))\n", + "freqs = fftfreq(len(fourier_transform), (1/sample_rate))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Frequency Prevalence from Fast Fourier Transform" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "plt.plot(freqs, fourier_transform)\n", + "plt.title(\"Signal Frequency Prevalence (FFT)\")\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.ylabel('Amplitude')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Important note: Only plot positive Frequencies (hz) in range of notes (200-500)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "plt.plot(freqs, fourier_transform)\n", + "ax.set_xlim(left=200, right=500) \n", + "plt.title(\"Signal Frequency Prevalence (FFT)\")\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.ylabel('Amplitude')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot Fast Fourier Transform for Frequency Prevalence with Frequency of Notes" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(8, 8))\n", + "plt.plot(freqs, fourier_transform)\n", + "ax.set_xlim(left=200, right=500) \n", + "plt.axvline(x=a_freq, color=\"red\", label=\"A\",alpha=0.5) # A note: 440 hz\n", + "plt.axvline(x=b_freq, color=\"red\", label=\"B\",alpha=0.5) # B Note: 494 hz\n", + "plt.axvline(x=c_freq, color=\"red\", label=\"C\",alpha=0.5) # C Note: 261 hz\n", + "plt.axvline(x=d_freq, color=\"red\", label=\"D\",alpha=0.5) # D Note: 293 hz\n", + "plt.axvline(x=e_freq, color=\"red\", label=\"E\",alpha=0.5) # E Note: 330 hz\n", + "plt.axvline(x=f_freq, color=\"red\", label=\"F\",alpha=0.5) # F Note: 350 hz\n", + "plt.axvline(x=g_freq, color=\"red\", label=\"G\",alpha=0.5) # G Note: 392 hz\n", + "plt.title(\"Signal Frequency Prevalence (FFT)\")\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.ylabel('Amplitude')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Fast Fourier Transform Predicts Four Notes" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "sample_rate, signal_data = wavfile.read('../data/jingle_bells.wav')\n", "\n", @@ -278,6 +619,12 @@ "e_freq = 330\n", "f_freq = 350\n", "g_freq = 392" + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# some subsection code\n", + "new = \"helpful information\"" ] }, {