{"cells":[{"cell_type":"markdown","source":["[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/aalhossary/pyemgpipeline/blob/master/docs/notebooks/ex1_EMGMeasurement.ipynb)"],"metadata":{"id":"1NH5n3vuAUzb"}},{"cell_type":"markdown","metadata":{"tags":[],"id":"Lj9p-iOusNVd"},"source":["# Example 1 - Single EMG measurement definition and processing (using lower limb data)"]},{"cell_type":"markdown","metadata":{"id":"s2T2BkTAsNVi"},"source":["This example shows the usage of class\n","[EMGMeasurement](https://aalhossary.github.io/pyemgpipeline/api/pyemgpipeline.wrappers.html#emgmeasurement)\n","to process EMG data of one trial.\n","\n","The data used in this example contains one file of subject #3 in [\"EMG dataset in Lower Limb\"](https://archive-beta.ics.uci.edu/ml/datasets/emg+dataset+in+lower+limb) from the UC Irvine Machine Learning Repository.\n","In particular, the data used here was collected from four lower limb muscles (rectus femoris, biceps femoris, vastus internus, and semitendinosus) when the subject was in a sitting posture."]},{"cell_type":"markdown","source":["## Package preparation"],"metadata":{"id":"5kwrDNyxL7AV"}},{"cell_type":"markdown","source":["We install and import needed packages."],"metadata":{"id":"sFvnZ0eCMLOk"}},{"cell_type":"code","source":["!pip install pyemgpipeline -q"],"metadata":{"id":"Rfp4BBSiwikE","executionInfo":{"status":"ok","timestamp":1648747028489,"user_tz":-480,"elapsed":3318,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"execution_count":1,"outputs":[]},{"cell_type":"code","source":["import os\n","import numpy as np\n","from matplotlib.figure import SubplotParams\n","import pyemgpipeline as pep"],"metadata":{"id":"umE1jtvWvzzd","executionInfo":{"status":"ok","timestamp":1648747029241,"user_tz":-480,"elapsed":775,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"execution_count":2,"outputs":[]},{"cell_type":"markdown","source":["## Data preparation"],"metadata":{"id":"GiNwQfRcMX25"}},{"cell_type":"markdown","source":["First download the raw data from the UC Irvine Machine Learning Repository.\n","\n","When finished, the compressed file \"SEMG_DB1.rar\" (~14MB) is saved in the \"uci_lower_limb\" subfolder."],"metadata":{"id":"P76E1HnWTph4"}},{"cell_type":"code","source":["!rm -rf uci_lower_limb\n","!wget -q https://archive.ics.uci.edu/ml/machine-learning-databases/00278/SEMG_DB1.rar -P ./uci_lower_limb"],"metadata":{"id":"zyEgJzL1TWYV","executionInfo":{"status":"ok","timestamp":1648747031513,"user_tz":-480,"elapsed":2290,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"execution_count":3,"outputs":[]},{"cell_type":"markdown","source":["Uncompress the downloaded file. This example will only use the file \"A_TXT/3Asen.txt\"."],"metadata":{"id":"RpuijSK3T_UQ"}},{"cell_type":"code","source":["# !unrar x -inul uci_lower_limb/SEMG_DB1.rar uci_lower_limb #This command extracts all files.\n","!unrar x -inul uci_lower_limb/SEMG_DB1.rar A_TXT/3Asen.txt uci_lower_limb #This command extracts only the file needed in this example."],"metadata":{"id":"rJ-qDfd_TWa1","executionInfo":{"status":"ok","timestamp":1648747031515,"user_tz":-480,"elapsed":19,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"execution_count":4,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"8lhkojCqsNVs"},"source":["Signal data of each trial should be stored in a 2d ndarray with shape (*n_samples*, *n_channels*), where each column represents data of one channel.\n","\n","First we set up basic information of the data, including data path, channel names, sample rate, etc."]},{"cell_type":"code","execution_count":5,"metadata":{"id":"krwZvnZrsNVt","executionInfo":{"status":"ok","timestamp":1648747031517,"user_tz":-480,"elapsed":16,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[],"source":["data_folder = 'uci_lower_limb/A_TXT'\n","data_filename = '3Asen.txt'\n","trial_name = 'Sit'\n","channel_names = ['rectus femoris', 'biceps femoris', 'vastus internus', 'semitendinosus']\n","sample_rate = 1000"]},{"cell_type":"markdown","metadata":{"id":"g-aX0rpFsNVu"},"source":["The EMG signal data is then extracted from the raw data file of non-standard format and stored in the 2d ndarray *data*."]},{"cell_type":"code","execution_count":6,"metadata":{"id":"hJA_xk5RsNVv","outputId":"879680c3-fe59-4240-b739-9aac474df0d8","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1648747035835,"user_tz":-480,"elapsed":4332,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[-0.0008, -0.0008, 0. , -0.0008],\n"," [-0.0015, -0.0015, 0.0007, -0.003 ],\n"," [-0.0008, -0.0008, -0.0008, -0.0015],\n"," ...,\n"," [-0.0008, -0.0015, 0. , 0.0015],\n"," [ 0.0007, -0.0008, 0. , -0.0008],\n"," [ 0. , 0.0007, -0.0008, 0. ]])"]},"metadata":{},"execution_count":6}],"source":["def load_uci_lower_limb_txt(_filepath):\n"," with open(_filepath) as fp:\n"," collect_values = np.array([])\n"," lines = fp.readlines()\n"," for line in lines[7:]: # first few lines are data description\n"," items = [float(e) for e in line.split('\\t')[:4] if e != ''] # last column is not EMG data\n"," if len(items) != 4: # last few rows might not have EMG data\n"," continue\n"," collect_values = np.concatenate((collect_values, np.array(items)))\n"," _data = collect_values.reshape(-1, 4)\n"," return _data\n","\n","filepath = os.path.join(data_folder, data_filename)\n","data = load_uci_lower_limb_txt(filepath)\n","data"]},{"cell_type":"code","execution_count":7,"metadata":{"id":"jE3Ljc0JsNVy","outputId":"d4ec3c72-acb2-4eda-ec19-0a1ae22fcae7","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1648747035836,"user_tz":-480,"elapsed":43,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"stream","name":"stdout","text":["data shape: (38971, 4)\n"]}],"source":["print('data shape:', data.shape)"]},{"cell_type":"markdown","metadata":{"id":"hPgTej5HsNV0"},"source":["We also set up the parameters for plotting with an instance of class\n","[EMGPlotParams](https://aalhossary.github.io/pyemgpipeline/api/pyemgpipeline.plots.html#emgplotparams)."]},{"cell_type":"code","execution_count":8,"metadata":{"id":"i7JqGIdusNV1","executionInfo":{"status":"ok","timestamp":1648747035837,"user_tz":-480,"elapsed":18,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[],"source":["emg_plot_params = pep.plots.EMGPlotParams(\n"," n_rows=4,\n"," fig_kwargs={\n"," 'figsize': (8, 6),\n"," 'dpi': 80,\n"," 'subplotpars': SubplotParams(wspace=0, hspace=0.6),\n"," },\n"," line2d_kwargs={\n"," 'color': 'red',\n"," }\n",")"]},{"cell_type":"markdown","metadata":{"id":"cBhS2F5isNV2"},"source":["## Data processing"]},{"cell_type":"markdown","metadata":{"id":"Xx2ANTjIsNV3"},"source":["We initialize an instance of class\n","[EMGMeasurement](https://aalhossary.github.io/pyemgpipeline/api/pyemgpipeline.wrappers.html#emgmeasurement)\n","with signal data *data* and other information, which is responsible for furtuer processing and plotting."]},{"cell_type":"code","execution_count":9,"metadata":{"id":"Z_nF2fTYsNV4","executionInfo":{"status":"ok","timestamp":1648747035837,"user_tz":-480,"elapsed":13,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[],"source":["m = pep.wrappers.EMGMeasurement(data, hz=sample_rate, trial_name=trial_name,\n"," channel_names=channel_names, emg_plot_params=emg_plot_params)"]},{"cell_type":"markdown","metadata":{"id":"yJCe9YkYsNV5"},"source":["We also visualize the data before processing:"]},{"cell_type":"code","execution_count":10,"metadata":{"id":"9CKpznrnsNV7","outputId":"83f59e29-ccd2-4bbf-af9e-45c91c9d1c77","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747036753,"user_tz":-480,"elapsed":928,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.plot()"]},{"cell_type":"markdown","metadata":{"id":"G0vWkDCesNV8"},"source":["Now we start to apply seven processing steps one by one and visualize the data after each step.\n","\n","Step 1 is the DC offset removal."]},{"cell_type":"code","execution_count":11,"metadata":{"id":"fr4azZ0GsNV-","outputId":"05f9818c-1ba2-4e99-8a81-ab1ca470b2f2","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747037920,"user_tz":-480,"elapsed":1184,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_dc_offset_remover()\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"ffbmycyTsNV_"},"source":["Step 2 is the bandpass filtering."]},{"cell_type":"code","execution_count":12,"metadata":{"id":"MIdbWlrhsNV_","outputId":"4f2b7408-89e0-4adf-94a6-1190aeee766b","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747038963,"user_tz":-480,"elapsed":1056,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_bandpass_filter(bf_order=4, bf_cutoff_fq_lo=10, bf_cutoff_fq_hi=450)\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"T5c2hTiTsNWA"},"source":["Step 3 is the full wave rectification."]},{"cell_type":"code","execution_count":13,"metadata":{"id":"rl-cB1X8sNWA","outputId":"5f4a038c-692f-4fe5-fbc1-6fe7f3eb149a","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747039736,"user_tz":-480,"elapsed":796,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_full_wave_rectifier()\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"PjfCc2NBsNWB"},"source":["Step 4 is the linear envelope."]},{"cell_type":"code","execution_count":14,"metadata":{"id":"vO2af-kcsNWB","outputId":"1866380a-e8c2-4918-a898-f3692fc8010c","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747040448,"user_tz":-480,"elapsed":725,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_linear_envelope(le_order=4, le_cutoff_fq=6)\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"LtlkzIAgsNWC"},"source":["Step 5 is the end frame cutting."]},{"cell_type":"code","execution_count":15,"metadata":{"id":"mq0CbnMfsNWC","outputId":"ec55bb5f-4249-4b05-c5c2-e19fa287d03a","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747041552,"user_tz":-480,"elapsed":1132,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_end_frame_cutter(n_end_frames=30)\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"-kbrVWFQsNWD"},"source":["Step 6 is the amplitude normalization.\n","Here we assume the MVC (maximum voluntary contraction) of each muscle of this subject is already obtained from the whole experiments."]},{"cell_type":"code","execution_count":16,"metadata":{"id":"GEzIjWHqsNWD","outputId":"80d04eb4-d40b-40ca-f691-02561fa37ffb","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747042507,"user_tz":-480,"elapsed":979,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["max_amplitude = [0.043, 0.069, 0.364, 0.068] # assume the MVC is known\n","m.apply_amplitude_normalizer(max_amplitude)\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"LRZbCXtMsNWE"},"source":["Step 7 is the segmentation.\n","For demonstration purpose, assume the segment of interest is in the time range (20.5, 29.5)."]},{"cell_type":"code","execution_count":17,"metadata":{"id":"yvZ5Rie-sNWE","outputId":"86bc5f6b-aeef-4bde-9ab8-9317ec141999","colab":{"base_uri":"https://localhost:8080/","height":475},"executionInfo":{"status":"ok","timestamp":1648747044321,"user_tz":-480,"elapsed":1821,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{"needs_background":"light"}}],"source":["m.apply_segmenter(20.5, 29.5)\n","m.plot()"]},{"cell_type":"markdown","metadata":{"id":"OFqwaQfQsNWF"},"source":["We have completed the processing steps.\n","The processed signal data can be accessed via *m.data* while the timestamp (initially derived from *sample_rate*) can be accessed via *m.timestamp* whenever needed."]},{"cell_type":"code","execution_count":18,"metadata":{"id":"Rwxamw8bsNWF","outputId":"8bff4e17-345a-43eb-ea25-895e552c0cdd","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1648747044322,"user_tz":-480,"elapsed":31,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[0.02186312, 0.01239804, 0.00273551, 0.01773494],\n"," [0.02193963, 0.0123964 , 0.00273592, 0.01775758],\n"," [0.02201485, 0.0123954 , 0.00273646, 0.01778186],\n"," ...,\n"," [0.02519068, 0.01955036, 0.00408111, 0.01343851],\n"," [0.02520053, 0.01955799, 0.00405828, 0.01344915],\n"," [0.02521111, 0.01956411, 0.00403501, 0.01346193]])"]},"metadata":{},"execution_count":18}],"source":["m.data"]},{"cell_type":"code","execution_count":19,"metadata":{"id":"oU8JiOX5sNWG","outputId":"ebbe5fa8-ac60-488e-eb2c-09bbfaa4b72b","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1648747044324,"user_tz":-480,"elapsed":31,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([20.5 , 20.501, 20.502, ..., 29.498, 29.499, 29.5 ])"]},"metadata":{},"execution_count":19}],"source":["m.timestamp"]},{"cell_type":"markdown","metadata":{"id":"Qd6q9pWNsNWG"},"source":["The processed data can also be exported to a csv file. Note that besides signal data, timestamp is also included in the first column of the csv file."]},{"cell_type":"code","execution_count":20,"metadata":{"id":"0U4KaOqusNWG","executionInfo":{"status":"ok","timestamp":1648747044325,"user_tz":-480,"elapsed":22,"user":{"displayName":"Tsung-Lin Wu","userId":"08812001621921766841"}}},"outputs":[],"source":["m.export_csv('ex1_processed.csv')"]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.6.6"},"colab":{"name":"ex1_EMGMeasurement.ipynb","provenance":[],"collapsed_sections":[]}},"nbformat":4,"nbformat_minor":0}