From f6d878a8980867a291335f3115908d90a0cd8499 Mon Sep 17 00:00:00 2001 From: Gareth Farrington Date: Mon, 16 Sep 2024 19:42:49 -0700 Subject: [PATCH] filter_workbench: Add Filter Workbench Add a filter workbench Jupiter notebook to help printer developers tune filters based on probing data Signed-off-by: Gareth Farrington --- scripts/filter_workbench.ipynb | 517 +++++++++++++++++++++++++++++++++ 1 file changed, 517 insertions(+) create mode 100644 scripts/filter_workbench.ipynb diff --git a/scripts/filter_workbench.ipynb b/scripts/filter_workbench.ipynb new file mode 100644 index 00000000..e912ee86 --- /dev/null +++ b/scripts/filter_workbench.ipynb @@ -0,0 +1,517 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "1b19a52d-7873-4e84-a4d6-62476b172f7f", + "metadata": {}, + "source": [ + "# Filter Workbench\n", + "This is a Python notebook file that contains code to help with designing and testing filters for the `[load_cell_probe]` feature." + ] + }, + { + "cell_type": "markdown", + "id": "f4e9e2cd-8f40-442e-a772-484ed071c535", + "metadata": {}, + "source": [ + "## Requirements\n", + "This notebook uses the following Python libraries:\n", + "* [NumPy](https://numpy.org/)\n", + "* [SciPy](https://scipy.org/)\n", + "* [Matplotlib](https://matplotlib.org/)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "4cc50350-8937-48d7-8131-148f0c099f64", + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.signal as signal\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "5bae3233-a5d4-49f3-ab4b-60072c92d5fc", + "metadata": {}, + "source": [ + "## Test Data\n", + "This notebook uses a sample probe event from the `[load_cell_probe]` to demonstrate how the filter acts on real printer data. A sample is provided here from a Voron2.4. You can replace this with data from your own printer by capturing a probing event via the websocket." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "05baaf49-d621-4921-bb79-cf64d982d4a2", + "metadata": {}, + "outputs": [], + "source": [ + "probe_data = 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+ ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e0a4aed6-808d-4700-9244-4a6f1729c891", + "metadata": {}, + "outputs": [], + "source": [ + "import json\n", + "sample_probe = json.loads(probe_data)" + ] + }, + { + "cell_type": "markdown", + "id": "90e0d110-098b-4198-8963-1acafee4131b", + "metadata": {}, + "source": [ + "## Sensor Information\n", + "Fill out the sensor's sample frequency, in samples per second, below. This must match the frquency of the captured data in `probe_data`." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c1d9d273-ab4a-4b91-a60b-78b3c8c7b6af", + "metadata": {}, + "outputs": [], + "source": [ + "sensor_frequency = 330" + ] + }, + { + "cell_type": "markdown", + "id": "750af414-88fe-4cf5-8a80-8340777ebd82", + "metadata": {}, + "source": [ + "## Filter Design\n", + "Here you design the filter by combining various filter types from SciPy. An example is provided that combines 2 filters.\n", + "\n", + "### Filter Requirements:\n", + "* The filter must be in the SOS (Second Order Sections) format.\n", + "* The filter must be normalized. (hint: SciPy always produces normalized filters by default)\n", + "* The filter must have no more than 5 sections\n", + "* Filter must be assigned to the `filter_design` global" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "71a4fb21-312d-4855-b764-e323cca8c293", + "metadata": {}, + "outputs": [], + "source": [ + "# set filter settig here. If you dont want a filter to be used, assign `None` to it\n", + "drift_filter_cutoff_frequency = 0.8\n", + "buzz_filter_cutoff_frequency = 150.0\n", + "notch_filter_frequencies = [50.0, 60.0]\n", + "notch_quality = 2.0" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "f379abb0-a734-4a39-a539-31e9aabd035b", + "metadata": {}, + "outputs": [], + "source": [ + "### Sample Filter Design ###\n", + "filters = []\n", + "\n", + "# The drift filter is a butterworth highpass filter to remove bowden tube bending effects and high frequency noise\n", + "if drift_filter_cutoff_frequency:\n", + " drift_filter = signal.butter(2, drift_filter_cutoff_frequency, btype=\"highpass\", fs=sensor_frequency, output=\"sos\")\n", + " filters.append(drift_filter)\n", + "\n", + "# The buzz filter is a butterworth highpass filter designed to remove stepper buzz\n", + "if buzz_filter_cutoff_frequency:\n", + " buzz_filter = signal.butter(2, buzz_filter_cutoff_frequency, btype=\"lowpass\", fs=sensor_frequency, output=\"sos\")\n", + " filters.append(buzz_filter)\n", + "\n", + "# The notch filter is an iirnotch filter designed to remove noise at a specific frequency\n", + "# such as powerline noise at 60Hz\n", + "if notch_filter_frequencies:\n", + " if len(notch_filter_frequencies) > 2:\n", + " raise \"Klipper supports a max of 2 notch frequencies\"\n", + " for freq in notch_filter_frequencies:\n", + " b, a = signal.iirnotch(freq, notch_quality, fs=sensor_frequency)\n", + " # convert notch from b,a format to sos\n", + " notch_sos = signal.tf2sos(b, a)\n", + " filters.append(notch_sos)\n", + "\n", + "# combine filters as stacked second order sections\n", + "filter_design = np.vstack(filters)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b59e5c73-6e4f-4f9e-a0ff-50e1cb2ec6d3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SUCCESS: filter_design OK: \n", + " [[ 0.98928717 -1.97857434 0.98928717 1. -1.97845957 0.97868911]\n", + " [ 0.81698985 1.6339797 0.81698985 1. 1.60020175 0.66775766]\n", + " [ 0.8047659 -0.93362005 0.8047659 1. -0.93362005 0.60953181]\n", + " [ 0.77302066 -0.64224877 0.77302066 1. -0.64224877 0.54604131]]\n" + ] + } + ], + "source": [ + "# filter checks\n", + "if len(filter_design) > 4:\n", + " print(\"ERROR: filter_design has more than 5 sections!: \\n\", filter_design)\n", + "elif not np.all(filter_design == filter_design[0,:], axis = 0)[3]:\n", + " print(\"ERROR: filter_design his not normalized!: \\n\", filter_design)\n", + "else:\n", + " print(\"SUCCESS: filter_design OK: \\n\", filter_design)" + ] + }, + { + "cell_type": "markdown", + "id": "496ab746-28ae-410a-9a75-d9ecc6d32624", + "metadata": {}, + "source": [ + "### Calculate Filter Initial Consitions (zi)\n", + "This block automatically calculates the filters starting conditions using `signal.sosfilt_zi`.\n", + "\n", + "On the MCU, the tare functionality zeros out the grams value so the inital zi matrix doesnt have to be calculated and there will be no filter settling time." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e3c30cf6-05f4-4e7d-ac2c-e433e8e31ef7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "filter_zi: \n", + " [[-0.98928717 0.98928717]\n", + " [ 0. 0. ]\n", + " [ 0. 0. ]\n", + " [ 0. 0. ]]\n" + ] + } + ], + "source": [ + "filter_zi = signal.sosfilt_zi(filter_design)\n", + "print(\"filter_zi: \\n\", filter_zi)" + ] + }, + { + "cell_type": "markdown", + "id": "bd9dd68d-66f6-40a8-873d-77e42eae29ce", + "metadata": {}, + "source": [ + "## Display Filter Frequency Response\n", + "This block plots the filter's response to sinals from 0 up to the [nyquist frequency]() which is 1/2 the `sensor_frequency`. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "6dc22c70-904f-48d7-bb8f-f4404652b122", + "metadata": { + "jupyter": { + "source_hidden": true + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the frequency response\n", + "plt.figure(1)\n", + "plt.clf()\n", + "w, h = signal.sosfreqz(filter_design, fs=sensor_frequency)\n", + "db = 20 * np.log10(np.maximum(np.abs(h), 1e-5))\n", + "plt.plot(w, db, label=\"`filter_design` Frequency Response\")\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.ylabel('Gain [dB]')\n", + "plt.grid(True)\n", + "plt.legend(loc='best')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "901a1cba-a299-422b-acfc-d7ea4be5567c", + "metadata": {}, + "source": [ + "## Test Filter Performance\n", + "Test `filter_design` on `probe_data`. This shows plots of the filters performance when filtering the force graph in `probe_data`.\n", + "\n", + "To help decorate the graphs please prvide the desired trigger threashold of the probe:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "502465f6-b578-4b3e-beb4-20ae2e9e7560", + "metadata": {}, + "outputs": [], + "source": [ + "trigger_force_grams = 60" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "0631fb3c-8e54-403e-9da5-cffaa5c1136e", + "metadata": { + "jupyter": { + "source_hidden": true + } + }, + "outputs": [], + "source": [ + "# perform filtering\n", + "time = sample_probe['time']\n", + "force = sample_probe['force']\n", + "\n", + "approach_time = time[:-400]\n", + "approach_force = force[:-400]\n", + "approach_zi = filter_zi * approach_force[0]\n", + "filtered_approach_force, zf = signal.sosfilt(filter_design, approach_force, zi=approach_zi)\n", + "\n", + "tap_time = time[-400:]\n", + "tap_force = force[-400:]\n", + "tap_zi = filter_zi * tap_force[0]\n", + "filtered_tap_force, zf = signal.sosfilt(filter_design, tap_force, zi=tap_zi)\n", + "\n", + "# graphing functions\n", + "def fft_graph(force, sample_frequency, label):\n", + " # Plot an FFT of the filtered signal:\n", + " from scipy.fft import fft, fftfreq\n", + " # Number of sample points\n", + " N = len(force)\n", + " # sample spacing\n", + " T = 1.0 / sample_frequency\n", + " x = np.linspace(0.0, N*T, N, endpoint=False)\n", + " yf = fft(force)\n", + " xf = fftfreq(N, T)[:N//2]\n", + " plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]), label=label)\n", + " plt.legend(loc='best')\n", + " plt.grid()\n", + " plt.show()\n", + "\n", + "def force_graph(force, filtered_force, time, trigger_force_grams):\n", + " plt.figure(figsize=(12,5))\n", + " plt.plot(time, force, label='Raw Force')\n", + " plt.plot(time, filtered_force, label='Filtered Force')\n", + " plt.axhline(y=trigger_force_grams, color='r', linestyle='-')\n", + " plt.axhline(y=-trigger_force_grams, color='r', linestyle='-')\n", + " plt.legend(loc='best')\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f88c0490-d378-4d56-b8cb-2497ec638b68", + "metadata": {}, + "source": [ + "### Test 1: Probe approach\n", + "This plots the time before the tap. This looks at how well the filter rejects background noise during the probing phase" + ] + }, + { + "cell_type": "markdown", + "id": "30e4ed61-7bab-4d2e-87d1-5cd2e4251b66", + "metadata": {}, + "source": [ + "#### `force` vs force filtered with `filter_design`\n", + "In this graph we are looking to see the 'Filtered Force' line remain inside the red lines denoting the trigger force. A Properly filtered force grpah will be horizontal." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "af04e393-fe9b-4657-89d7-6ec079d820ce", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "force_graph(approach_force, filtered_approach_force, approach_time, trigger_force_grams)" + ] + }, + { + "cell_type": "markdown", + "id": "a4f51bc6-783e-4ace-be0d-a6c9b527e864", + "metadata": {}, + "source": [ + "#### FFT of `probe_data` before and after filtering" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "6976546f-6984-488d-96f4-4c6c4b8a0a71", + "metadata": { + "jupyter": { + "source_hidden": true + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fft_graph(approach_force, sensor_frequency, \"Raw Approach Force FFT\")\n", + "fft_graph(filtered_approach_force, sensor_frequency, \"Filtered Approach Force FFT\")" + ] + }, + { + "cell_type": "markdown", + "id": "83869a95-ba19-49b6-b503-2129f4131424", + "metadata": {}, + "source": [ + "### Test 2: Tap Phase\n", + "This plots the time of the tap. This looks at how well the filter performed during the tap." + ] + }, + { + "cell_type": "markdown", + "id": "94a213ae-66d0-4ae7-8126-d24b41fba683", + "metadata": {}, + "source": [ + "#### `force` vs force filtered with `filter_design`\n", + "For the tap we want to see the 'Filtered Force' line cross the red boundaries to trigger the endstop. If the 'Filtered Force' stays inside the red lines then the tap would not have triggered the endstop and a crash of the toolhead would result.\n", + "\n", + "Pay attention to how much lag there is between the 'Raw Force' graph and the 'Filtered Force' lines. Significant lag will subject the printer to higher forces before triggering." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "bd7173d7-b048-48b5-aea5-27d1477fa949", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "force_graph(tap_force, filtered_tap_force, tap_time, trigger_force_grams)" + ] + }, + { + "cell_type": "markdown", + "id": "62286828-e971-4e43-a1d7-f412ec45af06", + "metadata": {}, + "source": [ + "#### FFT of `probe_data` before and after filtering" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "222956e3-df60-4152-a914-3741f9e46c57", + "metadata": { + "jupyter": { + "source_hidden": true + } + }, + "outputs": [ + { + "data": { + "image/png": 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", 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