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@ridlo
Created August 9, 2021 14:59
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Date Compensated Discrete Fourier Transform"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def dcdft(data, Pmin=None, Pmax=None, wmin=None, wmax=None, num=1000, \n",
" plotpower=True, plotconfidence=True, plotphase=True):\n",
" \"\"\"Date Compensated Discrete Fourier Transform\"\"\"\n",
" \n",
" t = data[:,0] # time\n",
" y = data[:,1] # value \n",
" \n",
" mean_y = np.mean(y)\n",
" f = y - mean_y\n",
" \n",
" minimum_spacing_in_t = np.min(np.diff(t, n=1))\n",
" print(f\"Minimum spacing in time axis: {minimum_spacing_in_t}\")\n",
" \n",
" nyquist_period = 2*minimum_spacing_in_t\n",
" nyquist_freq = 1/nyquist_period\n",
" print(f\"Nyquist period: {nyquist_period}\")\n",
" print(f\"Nyquist frequency: {nyquist_freq}\")\n",
"\n",
" N = len(t)\n",
" \n",
" # frequency\n",
" if (wmin == None) or (wmax == None):\n",
" wmin = 1/Pmax \n",
" wmax = 1/Pmin\n",
" \n",
" if (Pmin == None) or (Pmax == None):\n",
" Pmin = 1/wmax\n",
" Pmax = 1/wmin\n",
" \n",
" w = np.linspace(wmin, wmax, num)\n",
" S = np.empty_like(w)\n",
" H = np.empty_like(w)\n",
" C = np.empty_like(w)\n",
" \n",
" delta_t = t[-1] - t[0] # time interval\n",
" delta_w = w[-1] - w[0] # freq interval\n",
" \n",
" for i in range(len(w)):\n",
" x = 2*np.pi*w[i]*t\n",
"\n",
" a0squared = 1/N\n",
" a0 = np.sqrt(a0squared)\n",
"\n",
" sumcos = np.sum(np.cos(x))\n",
" sumsin = np.sum(np.sin(x))\n",
"\n",
" a1squared = 1/(np.sum(np.cos(x)**2) - a0squared * sumcos**2)\n",
" a1 = np.sqrt(a1squared)\n",
"\n",
" M = np.sum(np.cos(x)*np.sin(x)) - a0squared*sumsin*sumcos\n",
"\n",
" a2squared = 1/(np.sum(np.sin(x)**2) - a0squared * sumsin**2 - a1squared*M*M)\n",
" a2 = np.sqrt(a2squared)\n",
"\n",
" c1 = a1*np.sum(f*np.cos(x))\n",
" c2 = a2*np.sum(f*np.sin(x)) - a1*a2*c1*M\n",
" __S = (c1*c1 + c2*c2)/np.sum(f*f)\n",
" \n",
" G = -(N-3)/2 * np.log(1 - __S)\n",
" __H = (N-4)/(N-3) * (G + np.exp(-G) - 1)\n",
" alpha = (2*(N-3)*delta_t*delta_w)/(3*(N-4))\n",
" __C = (1 - np.exp(-__H))**alpha\n",
" \n",
" S[i] = __S\n",
" H[i] = __H\n",
" C[i] = __C\n",
" \n",
" wo = w[np.argmax(S)]\n",
" Po = 1/wo\n",
" \n",
" print(f\"Best frequency: {wo} or best periode: {Po}\")\n",
" \n",
" phase = ((t-t[len(t)//2]) % Po)/Po\n",
" \n",
" if plotpower:\n",
" plt.figure(figsize=(10,4))\n",
" plt.plot(w, S, 'k')\n",
" plt.xlim([wmin, wmax])\n",
" plt.xlabel(r\"$\\omega$\")\n",
" \n",
" if plotconfidence:\n",
" plt.figure(figsize=(10,4))\n",
" plt.plot(w, C, 'k')\n",
" plt.xlim([wmin, wmax])\n",
" plt.xlabel(r\"$\\omega$\")\n",
" \n",
" if plotphase:\n",
" plt.figure(figsize=(10,4))\n",
" plt.plot(phase, y, 'k.')\n",
" plt.xlim([0.0, 1.0])\n",
" plt.xlabel(r\"$\\phi$\")\n",
" \n",
" return Po, wo, w, S, C"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# read the data\n",
"#data = np.loadtxt(\"dtvir.data\")\n",
"data = np.loadtxt(\"51Pegasi\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x206a61b1af0>]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"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(data[:,0], data[:,1], 'k.')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum spacing in time axis: 0.03219999999999956\n",
"Nyquist period: 0.06439999999999912\n",
"Nyquist frequency: 15.527950310559218\n",
"Best frequency: 0.23635193519351932 or best periode: 4.230978685159585\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Po, wo, w, S, C = dcdft(data, wmin=0.001, wmax=0.5, num=10000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Lomb-Scargle in Astropy"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from astropy.timeseries import LombScargle"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"t = data[:,0]\n",
"rv = data[:,1]\n",
"rv_err = data[:,2]\n",
"ls = LombScargle(t, rv, rv_err)\n",
"frequency, power = ls.autopower()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.9386966732141737e-94"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ls.false_alarm_probability(power.max())"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Lomb-Scargle power')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,5))\n",
"plt.plot(frequency, power, 'k')\n",
"plt.xlabel(r\"Frequency [day$^{-1}$]\")\n",
"plt.ylabel(\"Lomb-Scargle power\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Best frequency: 0.2365660479606048 [1/day] \n",
" or \n",
"Best period: 4.22714928292047 [days]\n"
]
}
],
"source": [
"period = 1/frequency\n",
"\n",
"best_frequency = frequency[np.argmax(power)]\n",
"best_period = period[np.argmax(power)]\n",
"\n",
"print(f\"Best frequency: {best_frequency} [1/day] \\n or \\nBest period: {best_period} [days]\")"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(-5, 5, 'Period = 4.227149 days')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"lit_period = best_period\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"plt.errorbar(((t-t[len(t)//2]) % lit_period) / lit_period, rv, yerr=rv_err, fmt=\"b.\")\n",
"plt.ylabel(\"radial velocity [m/s]\")\n",
"plt.xlabel(\"phase\")\n",
"plt.xlim(0, 1)\n",
"plt.ylim(-110, 110)\n",
"plt.title(\"51 Peg\")\n",
"plt.annotate(\"Period = {0:.6f} days\".format(lit_period), xy=(1, 0), xycoords=\"axes fraction\",\n",
" xytext=(-5, 5), textcoords=\"offset points\", ha=\"right\", va=\"bottom\", fontsize=12,\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Test for non sinusoidal data"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"## HD3651 b radial velocity\n",
"data = pd.read_fwf(\"HD3651\", comment='#', names=['jd', 'rv', 'rv_err', 'obs'])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"t = data['jd'].to_numpy()\n",
"rv= data['rv'].to_numpy()\n",
"rv_err = data['rv_err'].to_numpy()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Minimum spacing in time axis: 0.07800000000133878\n",
"Nyquist period: 0.15600000000267755\n",
"Nyquist frequency: 6.410256410146386\n",
"Best frequency: 0.016069006900690068 or best periode: 62.23159938757983\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Po, wo, w, S, C = dcdft(np.array([t, rv]).T, wmin=0.001, wmax=0.05, num=10000)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"ls = LombScargle(t, rv, rv_err)\n",
"frequency, power = ls.autopower()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Lomb-Scargle power')"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,5))\n",
"plt.plot(frequency, power, 'k')\n",
"plt.xlabel(r\"Frequency [day$^{-1}$]\")\n",
"plt.ylabel(\"Lomb-Scargle power\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.053927722480556e-15"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ls.false_alarm_probability(power.max())"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Best frequency: 0.016100187220642055 [1/day] \n",
" or \n",
"Best period: 62.1110789766407 [days]\n"
]
}
],
"source": [
"period = 1/frequency\n",
"\n",
"best_frequency = frequency[np.argmax(power)]\n",
"best_period = period[np.argmax(power)]\n",
"\n",
"print(f\"Best frequency: {best_frequency} [1/day] \\n or \\nBest period: {best_period} [days]\")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(-5, 5, 'Period = 62.111079 days')"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"lit_period = best_period\n",
"\n",
"plt.figure(figsize=(12,6))\n",
"plt.errorbar(((t-t[len(t)//2]) % lit_period) / lit_period, rv, yerr=rv_err, fmt=\"b.\")\n",
"plt.ylabel(\"radial velocity [m/s]\")\n",
"plt.xlabel(\"phase\")\n",
"plt.xlim(0, 1)\n",
"#plt.ylim(-110, 110)\n",
"plt.title(\"51 Peg\")\n",
"plt.annotate(\"Period = {0:.6f} days\".format(lit_period), xy=(1, 0), xycoords=\"axes fraction\",\n",
" xytext=(-5, 5), textcoords=\"offset points\", ha=\"right\", va=\"bottom\", fontsize=12,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.8.8"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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