diff --git a/notebooks/Convolution.ipynb b/notebooks/Convolution.ipynb index a7949cb370..94eb227464 100644 --- a/notebooks/Convolution.ipynb +++ b/notebooks/Convolution.ipynb @@ -2,217 +2,116 @@ "cells": [ { "cell_type": "code", - "execution_count": 13, - "id": "8f596fd9-ba20-412d-bc7a-823ab6242583", + "execution_count": 1, + "id": "d2959656-21c7-4984-ad27-eea385bbbf25", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/3h/75v0nlln0l5bj3dkh_dmtrrc0000gq/T/ipykernel_24576/812476331.py:115: UserWarning: The figure layout has changed to tight\n", - " plt.tight_layout()\n" - ] - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Define two probability distribution functions\n", - "\n", - "def pdf1(x):\n", - " return np.exp(-x**2)\n", - "\n", - "def pdf2(x):\n", - " return np.exp(-(x - 2)**2)\n", - "\n", - "def top_hat(x, a, b, c):\n", - " \"\"\"\n", - " x: Input array of values\n", - " a: Start of the interval where the function is non-zero\n", - " b: End of the interval where the function is non-zero\n", - " c: Height of the constant value within the interval\n", - " \"\"\"\n", - " return np.where((x >= a) & (x <= b), c, 0)\n", - " \n", - "def triangular_distribution(x, a, b, c):\n", - " \"\"\"\n", - " x: Input array of values\n", - " a: Minimum value\n", - " b: Mode (most frequent value)\n", - " c: Maximum value\n", - " \"\"\"\n", - " return np.where((x >= a) & (x <= c),\n", - " np.where(x < b,\n", - " 2*(x - a) / ((c - a) * (b - a)),\n", - " 2*(c - x) / ((c - a) * (c - b))),\n", - " 0)\n", - "\n", - "# Define the range of values for the PDFs\n", - "x_values = np.linspace(0, 6, 1000)\n", - "\n", - "a_tri = -2\n", - "b_tri = 2\n", - "c_tri = 6\n", - "\n", - "# Compute the convolution using numpy's convolve function\n", - "\n", - "# Plot the original PDFs and the convolved PDF\n", - "plt.figure(figsize=(10, 8))\n", - "\n", - "\n", - "#Geometric divergence\n", - "a_top = 2 \n", - "b_top = 4.5 \n", - "c_top = 0.02\n", - "\n", - "geometric_divergence = top_hat(x_values, a_top, b_top, c_top)\n", - "\n", - "#Sample aperture smearing\n", - "a_top = 2.5 \n", - "b_top = 4.2 \n", - "c_top = 0.03\n", - "\n", - "sample_aperture_smearing = top_hat(x_values, a_top, b_top, c_top)\n", - "\n", - "#Detector pixelation\n", - "a_top = 3.2 \n", - "b_top = 3.6 \n", - "c_top = 0.11\n", - "\n", - "detector_pixelation = top_hat(x_values, a_top, b_top, c_top)\n", - "\n", - "#Binning resolution\n", - "\n", - "a_top = 3.3 \n", - "b_top = 3.5 \n", - "c_top = 0.2\n", - "\n", - "binning_resolution = top_hat(x_values, a_top, b_top, c_top)\n", - "\n", - "#Wavelength resolution\n", - "\n", - "a_top = 3.2 \n", - "b_top = 3.4 \n", - "c_top = 3.6\n", - "\n", - "wavelength_resolution = triangular_distribution(x_values, a_top, b_top, c_top)\n", - "\n", - "convolution = np.convolve(geometric_divergence, sample_aperture_smearing, mode='same') * (x_values[1] - x_values[0])\n", - "convolution = np.convolve(convolution, detector_pixelation, mode='same') * (x_values[1] - x_values[0])\n", - "convolution = np.convolve(convolution, binning_resolution, mode='same') * (x_values[1] - x_values[0])\n", - "convolution = np.convolve(convolution, wavelength_resolution, mode='same') * (x_values[1] - x_values[0])\n", - "\n", - "\n", - "plt.subplot(6, 1, 1)\n", - "plt.plot(x_values, geometric_divergence)\n", - "plt.title('Geometric divergence')\n", - "\n", - "plt.subplot(6, 1, 2)\n", - "plt.plot(x_values, sample_aperture_smearing)\n", - "plt.title('Sample aperture divergence')\n", - "\n", - "\n", - "plt.subplot(6, 1, 3)\n", - "plt.plot(x_values, detector_pixelation)\n", - "plt.title('Detector pixelation')\n", - "\n", - "plt.subplot(6, 1, 4)\n", - "plt.plot(x_values, binning_resolution)\n", - "plt.title('Binning resolution')\n", - "\n", - "plt.subplot(6, 1, 5)\n", - "plt.plot(x_values, wavelength_resolution)\n", - "plt.title('Wavelemgth resolution')\n", - "plt.tight_layout()\n", - "\n", - "plt.subplot(6, 1, 6)\n", - "plt.plot(x_values, convolution)\n", - "plt.title('Convolution')\n", - "plt.tight_layout()\n", - "\n", - "\n", - "#convolution = np.convolve(top_hat(x_values, a_top, b_top, c_top), triangular_distribution(x_values, a_tri, b_tri, c_tri), mode='same') * (x_values[1] - x_values[0])\n", - "plt.show()\n" + "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, - "id": "e336f320-da02-477a-b532-5eea4e5645b5", + "id": "90e45e01-6788-444b-abdb-a39e5d8e93fe", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Define the top-hat function\n", - "def top_hat(x, a, b, c):\n", + "def convolve_kernels(distribution_kernels, dx):\n", " \"\"\"\n", - " x: Input array of values\n", - " a: Start of the interval where the function is non-zero\n", - " b: End of the interval where the function is non-zero\n", - " c: Height of the constant value within the interval\n", + " distribution_kernels: list of kernels \n", " \"\"\"\n", - " return np.where((x >= a) & (x <= b), c, 0)\n", + " for i, distribution in enumerate(distribution_kernels):\n", + " if i == 0:\n", + " convolution = np.convolve(distribution, distribution_kernels[1], mode='same') * dx\n", + " if i != 0 and i < len(distribution_kernels): \n", + " convolution = np.convolve(convolution, distribution, mode='same') * dx\n", + " return convolution" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "36749132-8588-419b-8275-8fa285dbce51", + "metadata": {}, + "outputs": [], + "source": [ + "def delta_kernel_1d(x0, intint, x, dx):\n", + " # Normalized Delta function\n", + " y = np.zeros_like(x) # Empty array\n", + " temp = np.argmin(np.abs(x - x0)) # Find the closest point\n", + " y[temp] = 1\n", + " y = intint * y / (np.sum(y) * dx)\n", + " return y\n", + "\n", + "def tophat_kernel_1d(x0, halfwidth, intint, x, dx):\n", + " # Normalized Tophat function\n", + " y = np.zeros_like(x) # Empty array\n", + " temp = np.where((x >= x0 - halfwidth) & (x <= x0 + halfwidth))\n", + " y[temp] = 1\n", + " y = intint * y / (np.sum(y) * dx)\n", + " return y\n", + "\n", + "def triangle_kernel_1d(x0, basehalfwidth, intint, x, dx):\n", + " # Normalized Triangle function\n", + " y = np.zeros_like(x) # Empty array\n", + " temp = np.where((x >= x0 - basehalfwidth) & (x <= x0 + basehalfwidth))\n", + " y[temp] = 1 - (1 / basehalfwidth) * np.abs(x[temp] - x0)\n", + " y = intint * y / (np.sum(y) * dx)\n", + " return y\n", + "\n", + "def circle_kernel_1d(x0, radius, intint, x, dx):\n", + " # Normalized Tophat function\n", + " y = np.zeros_like(x) # Empty array\n", + " temp = np.where((x >= (x0 - radius)) & (x <= (x0 + radius)))\n", + " y[temp] = np.sqrt(radius**2 - (x[temp] - x0)**2)\n", + " y = intint * y / (np.sum(y) * dx)\n", + " return y" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c5ab4292-ad16-4d1e-a85c-2e3de0dac3d7", + "metadata": {}, + "outputs": [], + "source": [ + "x0 = 0.0\n", + "intint = 1.0\n", + "x_values = np.linspace(-10, 10, 1000)\n", + "dx = x[1] - x[0]\n", "\n", - "# Define the range of x values\n", - "x_values = np.linspace(-5, 5, 1000)\n", + "delta_distribution = delta_kernel_1d(x0, intint, x_values, dx)\n", "\n", - "# Parameters for the top-hat function\n", - "a = -2 # Start of the interval\n", - "b = 2 # End of the interval\n", - "c = 1 # Height of the constant value\n", + "halfwidth = 2.0\n", + "geometric_divergence = tophat_kernel_1d(x0, halfwidth, intint, x_values, dx)\n", "\n", - "# Calculate the top-hat function values\n", - "top_hat_values = top_hat(x_values, a, b, c)\n", + "halfwidth = 1.0\n", + "sample_aperture_smearing = tophat_kernel_1d(x0, halfwidth, intint, x_values, dx)\n", "\n", - "# Plot the top-hat function\n", - "plt.figure(figsize=(8, 6))\n", - "plt.plot(x_values, top_hat_values, label='Top-Hat Function')\n", - "plt.axvline(x=a, color='r', linestyle='--', label='Interval Start')\n", - "plt.axvline(x=b, color='g', linestyle='--', label='Interval End')\n", - "plt.xlabel('x')\n", - "plt.ylabel('f(x)')\n", - "plt.title('Top-Hat Function')\n", - "plt.legend()\n", - "plt.grid()\n", - "plt.show()\n" + "basehalfwidth = 1.0\n", + "detector_pixelation = triangle_kernel_1d(x0, basehalfwidth, intint, x_values, dx)\n", + "\n", + "radius = 2.0\n", + "binning_resolution = circle_kernel_1d(x0, radius, intint, x_values, dx)\n", + "\n", + "#distribution_kernels = [geometric_divergence, sample_aperture_smearing, detector_pixelation, binning_resolution, wavelength_resolution]\n", + "\n", + "distribution_kernels = [geometric_divergence, sample_aperture_smearing, detector_pixelation, binning_resolution]" ] }, { "cell_type": "code", - "execution_count": 3, - "id": "a84653c5-2afc-4c80-8eeb-20a02af66b93", + "execution_count": 8, + "id": "3d59fe56-b9e8-4c77-8cf4-cefabf0ea7cb", "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -220,52 +119,39 @@ } ], "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", + "convolution = convolve_kernels(distribution_kernels, dx)\n", "\n", - "# Define the triangular distribution function\n", - "def triangular_distribution(x, a, b, c):\n", - " \"\"\"\n", - " x: Input array of values\n", - " a: Minimum value\n", - " b: Mode (most frequent value)\n", - " c: Maximum value\n", - " \"\"\"\n", - " return np.where((x >= a) & (x <= c),\n", - " np.where(x < b,\n", - " 2*(x - a) / ((c - a) * (b - a)),\n", - " 2*(c - x) / ((c - a) * (c - b))),\n", - " 0)\n", + "plt.subplot(5, 1, 1)\n", + "plt.plot(x_values, geometric_divergence)\n", + "plt.title('Geometric divergence')\n", + "\n", + "plt.subplot(5, 1, 2)\n", + "plt.plot(x_values, sample_aperture_smearing)\n", + "plt.title('Sample aperture divergence')\n", + "\n", + "\n", + "plt.subplot(5, 1, 3)\n", + "plt.plot(x_values, detector_pixelation)\n", + "plt.title('Detector pixelation')\n", "\n", - "# Define the range of x values\n", - "x_values = np.linspace(0, 10, 1000)\n", + "plt.subplot(5, 1, 4)\n", + "plt.plot(x_values, binning_resolution)\n", + "plt.title('Binning resolution')\n", "\n", - "# Parameters for the triangular distribution\n", - "a = 2 # Minimum value\n", - "b = 5 # Mode (most frequent value)\n", - "c = 8 # Maximum value\n", + "plt.subplot(5, 1, 5)\n", + "plt.plot(x_values, convolution)\n", + "plt.title('Convolution')\n", + "plt.tight_layout()\n", "\n", - "# Calculate the triangular distribution values\n", - "triangular_values = triangular_distribution(x_values, a, b, c)\n", "\n", - "# Plot the triangular distribution\n", - "plt.figure(figsize=(8, 6))\n", - "plt.plot(x_values, triangular_values, label='Triangular Distribution')\n", - "plt.axvline(x=a, color='r', linestyle='--', label='Minimum')\n", - "plt.axvline(x=b, color='g', linestyle='--', label='Mode')\n", - "plt.axvline(x=c, color='b', linestyle='--', label='Maximum')\n", - "plt.xlabel('x')\n", - "plt.ylabel('f(x)')\n", - "plt.title('Triangular Distribution')\n", - "plt.legend()\n", - "plt.grid()\n", + "#convolution = np.convolve(top_hat(x_values, a_top, b_top, c_top), triangular_distribution(x_values, a_tri, b_tri, c_tri), mode='same') * (x_values[1] - x_values[0])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, - "id": "8db983a7-abdb-474e-a01c-a257c6c302a6", + "id": "b93aedad-3ee2-4ce3-a1fd-43df203d3948", "metadata": {}, "outputs": [], "source": [] @@ -287,7 +173,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.17" + "version": "3.9.18" } }, "nbformat": 4,