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Diffstat (limited to 'notebooks/Test/Untitled.ipynb')
| -rw-r--r-- | notebooks/Test/Untitled.ipynb | 193 |
1 files changed, 193 insertions, 0 deletions
diff --git a/notebooks/Test/Untitled.ipynb b/notebooks/Test/Untitled.ipynb new file mode 100644 index 0000000..0a1a81c --- /dev/null +++ b/notebooks/Test/Untitled.ipynb @@ -0,0 +1,193 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "6b0e891f", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np \n", + "from numpy.fft import fft,ifft,fftshift\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f7878dca", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-4, -3, -2, -1, 0, 1, 2, 3])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tau = 1\n", + "freq = np.arange(-4,4)\n", + "freq" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6b5000a6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.-9.79717439e-16j, 1.-7.34788079e-16j, 1.-4.89858720e-16j,\n", + " 1.-2.44929360e-16j, 1.+0.00000000e+00j, 1.+2.44929360e-16j,\n", + " 1.+4.89858720e-16j, 1.+7.34788079e-16j])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "f_tabs = np.exp((-2j*np.pi*freq*tau))\n", + "f_tabs" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "54df500d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(f_tabs.real)\n", + "plt.plot(f_tabs.imag)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "bffc82f4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.00000000e+00-1.2246468e-16j, -2.95655891e-16+1.2246468e-16j,\n", + " 1.22464680e-16-1.2246468e-16j, -5.07265313e-17+1.2246468e-16j,\n", + " 0.00000000e+00-1.2246468e-16j, 5.07265313e-17+1.2246468e-16j,\n", + " -1.22464680e-16-1.2246468e-16j, 2.95655891e-16+1.2246468e-16j])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i_tabs = ifft(fftshift(f_tabs))\n", + "i_tabs" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "12ff730b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "shiftet= fftshift(f_tabs)\n", + "plt.plot(shiftet.real)\n", + "plt.plot(shiftet.imag)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "a075dd24", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(i_tabs.real)\n", + "plt.plot(i_tabs.imag)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92311556", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} |