Skip to content

Instantly share code, notes, and snippets.

@carlosolmos
Created March 20, 2023 07:32
Show Gist options
  • Save carlosolmos/bb677dc9c4f3ddab9f7d68901aeb627f to your computer and use it in GitHub Desktop.
Save carlosolmos/bb677dc9c4f3ddab9f7d68901aeb627f to your computer and use it in GitHub Desktop.
noise_filtering.ipynb
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPl2a4ur8VV22ioanDsx00f",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/carlosolmos/bb677dc9c4f3ddab9f7d68901aeb627f/noise_filtering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [
"from google.colab import drive\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from scipy.signal import find_peaks\n",
"\n",
"import math \n",
"\n",
"drive.mount(\"/content/gdrive\", force_remount=True)\n",
"# Load Data\n",
"data0 = pd.read_csv('/content/gdrive/My Drive/TOF_onereflect.csv', header=None)\n",
"data0.info()\n",
"data = data0.iloc[0,:].T\n",
"data.info()\n",
"# data was sample every 12.5 microseconds, prepare t scale in seconds\n",
"N = data.shape[0] # number of readings\n",
"print(f'samples: {N}')\n",
"tt = np.linspace(0, N-1,N)*12.5e-6\n",
"# plot original data\n",
"fig = plt.figure()\n",
"plt.plot(tt, data)\n",
"plt.title(\"Original data\")\n",
"plt.xlabel(\"time (seconds)\")\n",
"plt.ylabel(\"Voltage (V)\"); \n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 571
},
"id": "8k5aKwitB301",
"outputId": "c14d8b7a-7144-49c4-bbda-83ba4680837b"
},
"execution_count": 241,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Mounted at /content/gdrive\n",
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 1 entries, 0 to 0\n",
"Columns: 2624 entries, 0 to 2623\n",
"dtypes: float64(2623), int64(1)\n",
"memory usage: 20.6 KB\n",
"<class 'pandas.core.series.Series'>\n",
"Int64Index: 2624 entries, 0 to 2623\n",
"Series name: 0\n",
"Non-Null Count Dtype \n",
"-------------- ----- \n",
"2624 non-null float64\n",
"dtypes: float64(1)\n",
"memory usage: 105.5 KB\n",
"samples: 2624\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"## Physical Frequencies\n",
"sample_freq = 80; #in kHz (1 / 12.5 microsecond sample interval)\n",
"frequencies_physical = np.linspace(-N/2,N/2 - 1,N) *sample_freq / (N);\n",
"## FFT\n",
"freq_spectrum = np.fft.fftshift( np.fft.fft ( data ) );\n"
],
"metadata": {
"id": "GH-ouRKypES9"
},
"execution_count": 242,
"outputs": []
},
{
"cell_type": "code",
"source": [
"plt.plot(frequencies_physical, abs(freq_spectrum))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Base\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "NrHbpEB-56Yy",
"outputId": "784e2e0b-dd9a-4f9c-ca83-5332f9e1a2a3"
},
"execution_count": 243,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# find center freq and banwidth\n",
"\n",
"height_threshold=3000\n",
"peaks_index, properties = find_peaks(np.abs(freq_spectrum), height=height_threshold)\n",
"sum = 0.0\n",
"for i in range(len(peaks_index)):\n",
" sum=sum+np.abs(frequencies_physical[peaks_index[i]])\n",
"\n",
"center_frequency = sum/len(peaks_index)\n",
"bandwidth=len(peaks_index)/2\n",
"\n",
"\n",
"print('Positions and magnitude of frequency peaks:')\n",
"[print(\"%4.4f \\t %3.4f\" %(frequencies_physical[peaks_index[i]], properties['peak_heights'][i])) for i in range(len(peaks_index))]\n",
"\n",
"plt.plot(frequencies_physical, np.abs(freq_spectrum),'-', frequencies_physical[peaks_index],properties['peak_heights'],'x')\n",
"plt.xlabel(\"Frequency\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()\n",
"\n",
"\n",
"print(f'center freq: {center_frequency} bandwidth {bandwidth}')\n",
"\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 499
},
"id": "DLOCidqBMTd1",
"outputId": "ac882bea-801f-4b48-e691-cfac9179cfbb"
},
"execution_count": 244,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Positions and magnitude of frequency peaks:\n",
"-10.1829 \t 3089.0353\n",
"-10.0305 \t 3180.8980\n",
"-9.9085 \t 3085.5270\n",
"-9.8476 \t 3119.2062\n",
"-9.7866 \t 3007.5462\n",
"9.7866 \t 3007.5462\n",
"9.8476 \t 3119.2062\n",
"9.9085 \t 3085.5270\n",
"10.0305 \t 3180.8980\n",
"10.1829 \t 3089.0353\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"center freq: 9.951219512195122 bandwidth 5.0\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# Frequency filtering Rectangular window\n",
"\n",
"# find relevant frequenct indices\n",
"\n",
"f_0 = (center_frequency + (bandwidth/2))\n",
"df_0 = (center_frequency - (bandwidth/2))\n",
"print( f'{df_0} <= frequency < {f_0}')\n",
"\n",
"filter_indices = np.where( (np.abs(frequencies_physical) >= df_0) & (np.abs(frequencies_physical) < f_0))[0]\n",
"print(f'filter len: {len(filter_indices)}')\n",
"\n",
"# Rectangular window\n",
"rect_window = np.zeros(freq_spectrum.shape, dtype='float')\n",
"for i in range(len(filter_indices)):\n",
" rect_window[filter_indices[i]]=1.0\n",
"\n",
"\n",
"data1=rect_window\n",
"data2=np.abs(freq_spectrum)\n",
"\n",
"\n",
"fig, ax1 = plt.subplots()\n",
"\n",
"color = 'tab:red'\n",
"ax1.set_xlabel('time (s)')\n",
"ax1.set_ylabel('win', color=color)\n",
"ax1.plot(frequencies_physical, data1, color=color)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('sig', color=color) # we already handled the x-label with ax1\n",
"ax2.plot(frequencies_physical, data2, color=color)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334
},
"id": "30awLz-edTfV",
"outputId": "34ede7f6-50c3-456e-a921-49910d9e7fee"
},
"execution_count": 245,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"7.451219512195122 <= frequency < 12.451219512195122\n",
"filter len: 328\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"rect_freqspectrum = freq_spectrum * rect_window\n",
"\n",
"plt.plot(frequencies_physical, abs(freq_spectrum))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Base\")\n",
"plt.show()\n",
"\n",
"plt.plot(frequencies_physical, abs(rect_freqspectrum))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Filtered\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "k3E5V-m_X6Oy",
"outputId": "3fed5b6e-a672-4e3f-8b9d-d59c92be0d50"
},
"execution_count": 246,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# filtered time series data\n",
"\n",
"data_filtered = np.real (np.fft.ifft(rect_freqspectrum))\n",
"\n",
"# plot original data\n",
"fig = plt.figure()\n",
"plt.plot(tt, data)\n",
"plt.title(\"Original data\")\n",
"plt.xlabel(\"time (seconds)\")\n",
"plt.ylabel(\"Voltage (V)\"); \n",
"plt.show()\n",
"\n",
"# plot filtered data\n",
"fig = plt.figure()\n",
"plt.plot(tt, data_filtered)\n",
"plt.title(\"Filtered data - Rectangular Window\")\n",
"plt.xlabel(\"time (seconds)\")\n",
"plt.ylabel(\"Voltage (V)\"); \n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "MGlMolxyhi1s",
"outputId": "dd810bcf-6f89-4a28-e812-e8286bc6f945"
},
"execution_count": 247,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"\n",
"\n",
"# speed of sound = 340000 mm/s\n",
"\n",
"# distance = v * t\n",
"t = 0.016\n",
"d = 340000 * t\n",
"print(f'distance: {d}mm = {d/1000}m')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "OqZRiC-_1PgZ",
"outputId": "8d72f31e-6ea6-40fa-9c8d-c7412a171679"
},
"execution_count": 248,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"distance: 5440.0mm = 5.44m\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# Gausian Window\n",
"gauss_window = np.zeros(freq_spectrum.shape, dtype='float')\n",
"\n",
"def gauss_func (frequency):\n",
" fc=center_frequency\n",
" if frequency < 0:\n",
" fc=center_frequency * -1\n",
" return math.exp(-1/2 * ( ( (np.real(frequency) - fc) / (bandwidth/2) )**2 ) )\n",
"\n",
"\n",
"for i in range(len(filter_indices)):\n",
" gauss_window[filter_indices[i]]=gauss_func(freq_spectrum[filter_indices[i]])\n",
"\n",
"\n",
"plt.plot(frequencies_physical, abs(gauss_window))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Base\")\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 295
},
"id": "ATiOOd-BiQhH",
"outputId": "bfdeddf6-e040-4814-f6d0-9e0339967eb8"
},
"execution_count": 249,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"\n",
"data1=gauss_window\n",
"data2=np.abs(freq_spectrum)\n",
"\n",
"fig, ax1 = plt.subplots()\n",
"\n",
"color = 'tab:red'\n",
"ax1.set_xlabel('time (s)')\n",
"ax1.set_ylabel('win', color=color)\n",
"ax1.plot(frequencies_physical, data1, color=color)\n",
"ax1.tick_params(axis='y', labelcolor=color)\n",
"\n",
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
"\n",
"color = 'tab:blue'\n",
"ax2.set_ylabel('sig', color=color) # we already handled the x-label with ax1\n",
"ax2.plot(frequencies_physical, data2, color=color)\n",
"ax2.tick_params(axis='y', labelcolor=color)\n",
"\n",
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"outputId": "d6c9f068-5f89-49f7-95d8-ca97aa022dee",
"id": "3hfPS5QtmPAe"
},
"execution_count": 250,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"gauss_freqspectrum = freq_spectrum * gauss_window\n",
"\n",
"plt.plot(frequencies_physical, abs(freq_spectrum))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Base\")\n",
"plt.show()\n",
"\n",
"plt.plot(frequencies_physical, abs(gauss_freqspectrum))\n",
"plt.xlabel(\"Frequency (kHz)\")\n",
"plt.ylabel(\"Magnitude\")\n",
"plt.title(\"Freq Spectrum Filtered\")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "_bvdhZnBsa00",
"outputId": "1b41b424-cb4a-40dc-d924-a6c8b7a428aa"
},
"execution_count": 251,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
"# filtered time series data\n",
"\n",
"data_filtered = np.real (np.fft.ifft(gauss_freqspectrum))\n",
"\n",
"# plot original data\n",
"fig = plt.figure()\n",
"plt.plot(tt, data)\n",
"plt.title(\"Original data\")\n",
"plt.xlabel(\"time (seconds)\")\n",
"plt.ylabel(\"Voltage (V)\"); \n",
"plt.show()\n",
"\n",
"# plot filtered data\n",
"fig = plt.figure()\n",
"plt.plot(tt, data_filtered)\n",
"plt.title(\"Filtered data - Gaussian Window\")\n",
"plt.xlabel(\"time (seconds)\")\n",
"plt.ylabel(\"Voltage (V)\"); \n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 573
},
"id": "ly-TtrY6soq2",
"outputId": "54ec277f-30ef-41dc-fc0a-f4d1bcbe166e"
},
"execution_count": 252,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment