From 5deb0fb354d63341fd7698d63567139935420055 Mon Sep 17 00:00:00 2001 From: JB Date: Thu, 7 Nov 2024 18:36:44 +0000 Subject: [PATCH 1/4] =?UTF-8?q?Add=20combined=20plot=20of=20raw=20and=20cl?= =?UTF-8?q?eaned=20CO=E2=82=82=20data=20for=20time=20domain=20analysis?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit - Loaded and processed CO₂ data from Mauna Loa Observatory (flask_monthly.json). - Applied waveform modifications including: - Padding with reflective boundaries to minimize edge effects. - Windowing using a Hann window to smooth transition edges. - FFT to transform the time-series data to the frequency domain. - Noise removal by filtering low-magnitude frequencies based on a set threshold. - Inverse FFT to revert data back to the time domain after noise reduction. - Undoing the windowing and padding effects to maintain data integrity. - Generated a single combined plot displaying: - Raw CO₂ data with seasonal oscillations (gray line). - Smoothed, cleaned CO₂ data highlighting long-term trends (blue line). - Verified that the cleaned data curve retains the overall upward trend in CO₂ concentration while reducing noise and oscillatory components, per task requirements. 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.fft import fft, ifft\n", + "from scipy.signal import get_window\n", + "\n", + "# Load the JSON data with the correct path\n", + "data = pd.read_json('/workspaces/CP1-24-HW5/mauna-loa-data/flask_monthly.json')\n", + "\n", + "# Correct column names to match 'Year' and 'Month' from the JSON data\n", + "data['date'] = pd.to_datetime(data[['Year', 'Month']].assign(day=1))\n", + "data.set_index('date', inplace=True)\n", + "co2_values = data['CO2 (ppm)']\n", + "\n", + "# Apply Padding and Windowing\n", + "padded_co2 = np.pad(co2_values, (100, 100), mode='reflect') # Adding padding\n", + "window = get_window('hann', len(padded_co2))\n", + "windowed_data = padded_co2 * window\n", + "\n", + "# Perform FFT\n", + "fft_data = fft(windowed_data)\n", + "\n", + "# Noise Removal by Setting a Threshold for Low-Magnitude Frequencies\n", + "magnitude_threshold = 0.1 * np.max(np.abs(fft_data)) # Adjustable threshold\n", + "fft_data[np.abs(fft_data) < magnitude_threshold] = 0\n", + "\n", + "# Inverse FFT and Undo Windowing and Padding\n", + "cleaned_data = ifft(fft_data).real\n", + "cleaned_data = cleaned_data[100:-100] / window[100:-100] # Remove padding\n", + "\n", + "# Plot Raw and Cleaned Data\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(data.index, co2_values, label='Raw CO₂ Data', color='gray')\n", + "plt.plot(data.index, cleaned_data, label='Cleaned CO₂ Data', color='blue')\n", + "plt.xlabel('Year')\n", + "plt.ylabel('CO₂ Concentration (ppm)')\n", + "plt.title('Combined Plot of Raw and Cleaned CO₂ Data')\n", + "plt.legend()\n", + "plt.show()\n" + ] + } + ], + "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": "3.12.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 6fc053d754f5167d01c5e3ed7b6a1098730af97a Mon Sep 17 00:00:00 2001 From: JB Date: Thu, 7 Nov 2024 18:38:07 +0000 Subject: [PATCH 2/4] delete binary file --- .../__pycache__/preparation.cpython-312.pyc | Bin 1110 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 fft_folder/__pycache__/preparation.cpython-312.pyc diff --git a/fft_folder/__pycache__/preparation.cpython-312.pyc b/fft_folder/__pycache__/preparation.cpython-312.pyc deleted file mode 100644 index 087c5d07099b076682aa0e270e80332ee1531814..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1110 zcmb_a&rcIU6rS1LZcBfF$i--k6NrH(K%+r0L`{r=7!Jfl5|dt~v!fj=GAv)O7@WF3E#@rV(*wy0~xE)}rj?0L+5%VAOWR90RtYDvb1kZ?Sf3`n$@ zE2xFlyUxLcNr%xn0%#*~?giZFzW>4lK6$dwcF~5>=Ys9WzcpT9aZznU*6Ooe+&yVy 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a/fft_folder/co2_analysis_notebook.ipynb +++ b/fft_folder/co2_analysis_notebook.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -55,6 +55,10 @@ "plt.ylabel('CO₂ Concentration (ppm)')\n", "plt.title('Combined Plot of Raw and Cleaned CO₂ Data')\n", "plt.legend()\n", + "# Save the plot as an image file\n", + "plt.savefig(\"co2_plot.png\", dpi=300) # Save the plot with 300 DPI resolution\n", + "\n", + "# Display the plot in the notebook\n", "plt.show()\n" ] } diff --git a/fft_folder/co2_plot.png b/fft_folder/co2_plot.png new file mode 100644 index 0000000000000000000000000000000000000000..d694c917bc7b94934cf0d535a61df5790cc78623 GIT binary patch literal 243795 zcmeEvc{tX2`?h(SrkQ5iluB7jQ4&UFiG=JgX)O1Be?QB0o!5Du*EPP!)s9*xKwDkrvsvciRO=$4d?eMMbUu`2i7Idvnq4>dRi^MZUUpRNsM(O=JiC z|7WfV^3H6Zv9T#De1F0O|9m{Nl8TS%2}DM>UTNZv6c76Kg*Y;JaIqmhoG~ zg}VY3;X!vk7vG|GEI_Q{zGlYGia@`Xg!?|L9@cC6UE$kSoF!8#KmVleHRl=U*Z+Dt 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