{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"[Open this tutorial in Google Colab](https://colab.research.google.com/github/konkolyseismolab/seismolab/blob/master/docs/source/fourier.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fourier\n",
"\n",
"The Fourier module offers tools to calculate Fourier spectrum, extract the individual frequencies from the multiperiodic content of time series, to perform multiple-frequency fits and to derive Fourier parameters (see e.g. [Simon & Lee 1981, ApJ, 248, 291](https://ui.adsabs.harvard.edu/abs/1981ApJ...248..291S/abstract)).\n",
"\n",
"It has three main options:\n",
"\n",
"- The `Fourier` is designed to calculate the classic Fourier spectrum and the spectral window of a light curve.\n",
"\n",
"- The `MultiHarmonicFitter` is used to extract the parameters of the main frequency with the highest peak in the spectrum and its harmonics and to simultaneously fit those Fourier components to a time series. The derived components are the base of the Fourier parameter calculations.\n",
"\n",
"- The `MultiFrequencyFitter` extracts the parameters of all frequency components above a given threshold with pre-whitening steps in decreasing amplitude order.\n",
"\n",
"## Choosing the type of Fourier series\n",
"\n",
"The Fourier series fit can be done via two ways. Fitting $sine$ or $cosine$ functions:\n",
"\n",
" $$ \\sum_i A_i sin( 2\\pi f_i t + \\phi_i ) + constant ,$$\n",
"\n",
" $$ \\sum_i A_i cos( 2\\pi f_i t + \\phi_i ) + constant ,$$\n",
"\n",
" where $A_i$ is the semi-amplitude, $f_i$ is the frequency and $\\phi_i$ is the phase of the given component. The _constant_ is the zero point of the light curve.\n",
"\n",
"__Note:__ This is __optional in the code__. Use the keyword `kind='sin'` or `kind='cos'` to select one. The default is _sine_.\n",
"\n",
"__The code first finds the frequency with the highest peak in the spectrum__ and after that does a consequtive pre-whitening with the integer multiples of that frequency. Thus, if we want to calculate the Fourier parameters of e.g. the second overtone, we have to put constraints on the frequency range to be checked i.e. `minimum_frequency` and `maximum_frequency` must be defined. Otherwise the highest peak in the spectrum will be considered.\n",
"\n",
"__Note:__ If due to sparse sampling the __Nyquist limit is low (e.g. in case of ground-based observations)__, set `maximum_frequency` to overwrite the default Nyquist limit.\n",
"\n",
"## Fourier parameters\n",
"\n",
"After fitting ___at least___ 3 frequencies, the Fourier parameters can be calculated as\n",
"\n",
" $$ R_{21} = \\frac{A_2}{A_1} ,$$\n",
" $$ R_{31} = \\frac{A_3}{A_1} ,$$\n",
" $$ \\phi_{21} = \\phi_2 - 2 \\phi_1 ,$$\n",
" $$ \\phi_{31} = \\phi_3 - 3 \\phi_1 ,$$\n",
"\n",
" which values __depend on__ the ___chosen function (sine or cosine)___, the ___physical units (flux or mag)___ and the passband as well. The more the harmonics, the more accurate the results.\n",
" \n",
"__Note:__ To get all harmonics, set `nfreq` to a very large number (e.g. 9999), which case the number of harmonincs will be limited by the signal-to-noise ratio.\n",
"\n",
"## Error estimation\n",
"\n",
"Errors are estimated analytically by default using the formulae of [Breger (1999, A&A, 349, 225)](https://ui.adsabs.harvard.edu/abs/1999A%26A...349..225B/abstract):\n",
"\n",
" $$ \\sigma(f) = \\sqrt{\\frac{6}{N}} \\frac{1}{\\pi T} \\frac{\\sigma(m)}{a} ,$$\n",
" $$ \\sigma(a) = \\sqrt{\\frac{2}{N}} \\sigma(m) ,$$\n",
" $$ \\sigma(\\phi) = \\sqrt{\\frac{1}{2\\pi}} \\sqrt{\\frac{2}{N}} \\frac{\\sigma(m)}{a} .$$\n",
"\n",
"However, __errors__ can also be estimated in two other, more reliable ways.\n",
"\n",
" - Set `error_estimation` to `'bootstrap'` to enable the bootstrap method.\n",
" \n",
" - Or set `error_estimation` to `'montecarlo'` to enable the monte carlo method.\n",
" \n",
"Both methods generate new light curves `ntry` times and fit each dataset induvidually. The results are collected and the parameter uncertenties are estimated from the distributions.\n",
"\n",
"___Bootstraping:___\n",
"\n",
"To generate new data sets the _bootstrap_ method subsamples the light curve. The number of sampled points are controlled by the `sample_size` (= ratio between 0-1) parameter.\n",
" \n",
"___Monte Carlo sampling:___ \n",
"\n",
"The _monte carlo_ method generates light curves with the same number of points as the original number of points. Each brightness measurement is resampled from a Gaussian with mean equals to the original brightness and std equals to the noise. If light curves noise is not known, then it is estimated from the residual light curve.\n",
" \n",
"To speed up the sampling process, the code can be run parallel via setting `parallel` to `True`. By deafult, all the CPU cores are used, but this can be limited by setting `ncores`.\n",
" \n",
"__Note:__ The resulted distributions and their correlations can be visualized by setting `plotting` to `True`. However, to decouple the frequencies from the phases the time points are constrained by\n",
" \n",
" $$ \\sum_i t_i = 1 $$\n",
"\n",
"Thus, the absolute values of the plotted phases will differ from the returned ones. They are only used to estimate errors.\n",
"\n",
"## Noise calculation\n",
"\n",
"In case of the `MultiFrequencyFitter`, the S/N ratio is calculated at each pre-whitening step and it is used as a stopping condition. To do so, the noise is calculated in a range around the given frequency using the residual spectrum. The range can be set by the user with the ``boxwidth`` keyword, then the noise is calculated as the mean of the spectrum in the range of:\n",
"\n",
"$$ \\bigg[\\rm{frequency}-\\frac{\\rm{boxwidth}}{2},\\rm{frequency}+\\frac{\\rm{boxwidth}}{2}\\bigg] $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## __How to use__"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from seismolab.fourier import Fourier, MultiHarmonicFitter, MultiFrequencyFitter\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We load as an example the light curve of ST Pic from TESS Sector 1."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"lc = pd.read_csv(\"https://mast.stsci.edu/api/v0.1/Download/file/?uri=mast:HLSP/qlp/s0001/0000/0001/5016/6721/hlsp_qlp_tess_ffi_s0001-0000000150166721_tess_v01_llc.txt\")\n",
"\n",
"# Store results in separate arrays for clarity\n",
"time = lc.iloc[:,0]\n",
"brightness = lc.iloc[:,1]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(time, brightness)\n",
"plt.xlabel(\"TBJD\")\n",
"plt.ylabel(\"Normalized flux\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculating the classic Fourier spectrum\n",
"\n",
"We initialize the `Fourier` by passing the light curve."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"FF = Fourier(time,brightness)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The Fourier spectrum is calculated with `spectrum`.__"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"FFf, FFp = FF.spectrum(maximum_frequency=15, samples_per_peak=10)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(FFf, FFp)\n",
"plt.xlabel(\"Frequency (c/d)\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The spectral window can be used to filter alias peaks in the spectrum.__"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"swf,swp = FF.spectral_window(maximum_frequency=15)\n",
"\n",
"plt.plot(swf,swp)\n",
"plt.xlabel(\"Frequency (c/d)\")\n",
"plt.ylabel(\"Amplitude\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Extracting the main frequency and its harmonics\n",
"\n",
"We initialize the `MultiHarmonicFitter` by passing the light curve. Passing the measurement errors is optional, but it strongly affects the results!"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"fitter = MultiHarmonicFitter(time,brightness)\n",
"\n",
"# The same can be done with measurement errors\n",
"#fitter = MultiHarmonicFitter(time,brightness,brightness_error)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Prewhitening with given number of harmonics are done via `fit_harmonics`.__"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pfit,perr = fitter.fit_harmonics(\n",
" maxharmonics = 3, # Set to e.g. 9999 to fit all harmonics\n",
" sigma = 4, # S/N ratio above which a frequency is considered significant\n",
" kind='sin', # Fourier series type, 'sin' or 'cos'\n",
"\n",
" minimum_frequency=None,\n",
" maximum_frequency=20, # Overwrites nyquist_factor!\n",
" nyquist_factor=1,\n",
" samples_per_peak=100, # Oversampling factor in Lomb-Scargle spectrum calculation\n",
"\n",
" plotting = True, # Show spectrum and phase curve\n",
" scale='flux', # Light curve scale, `mag` or `flux`\n",
"\n",
" error_estimation='analytic', # Method of the error estimation\n",
" ntry=1000, # Number of samplings if method is NOT `analytic`\n",
" sample_size=0.999, # Subsample size if method is `bootstrap`\n",
" parallel=True, # Parallel sampling if method is NOT `analytic`\n",
" ncores=-1, # Number of cores if method is NOT `analytic`\n",
" \n",
" best_freq=None # Use this frequency for the basis of the Fourier harmonics\n",
" # This option overwrites the automatic Lomb-Scargle frequency search\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The results and its errors are stored in two arrays, in the following order:\n",
"\n",
"- the main frequency in cycle/days,\n",
"- the amplitudes and phases of the main frequency and its harmonics,\n",
"- the zero point.\n",
"\n",
"These can be printed e.g. as follows:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Freq = 2.058955 +/- 0.000052\n",
"A1 = 0.115327 +/- 0.000299\n",
"Phi1 = 2.026532 +/- 0.000412\n",
"A2 = 0.046095 +/- 0.000299\n",
"Phi2 = 3.995322 +/- 0.001031\n",
"A3 = 0.019665 +/- 0.000299\n",
"Phi3 = 6.163608 +/- 0.002416\n",
"Zero point = 1.00 +/- 0.03\n"
]
}
],
"source": [
"print('Freq = %.6f +/- %.6f' % (pfit[0], perr[0]) )\n",
"\n",
"ncomponents = int((len(pfit)-1)/2)\n",
"\n",
"for i in range(1, ncomponents + 1 ):\n",
" print('A%d = %.6f +/- %.6f' % (i, pfit[i], perr[i]) )\n",
" print('Phi%d = %.6f +/- %.6f' % (i, pfit[i+ncomponents], perr[i+ncomponents]) )\n",
" \n",
"print('Zero point = %.2f +/- %.2f' % (pfit[-1], perr[-1]) )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The Fourier parameters can be calculated as follows.__\n",
"\n",
"The results are `uncertainties`. The first two returned values are the main frequency and period with their errors, in cycle/days and days, respectively. The last two values are lists containing the $R_{n1}$, $\\Phi_{n1}$ Fourier parameters. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"freq, period, Rn1, Phin1 = fitter.get_fourier_parameters()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Freq = 2.058955 +/- 0.000052\n",
"Period = 0.485683 +/- 0.000012\n",
"R21 = 0.400 +/- 0.003\n",
"Phi21 = 6.225 +/- 0.001\n",
"R31 = 0.171 +/- 0.003\n",
"Phi31 = 0.084 +/- 0.003\n"
]
}
],
"source": [
"print('Freq = %.6f +/- %.6f' % (freq.n, freq.s) )\n",
"print('Period = %.6f +/- %.6f'% (period.n, period.s) )\n",
"\n",
"for i,(Rn,Phin) in enumerate(zip(Rn1,Phin1)):\n",
" print('R%d1 = %.3f +/- %.3f' % ((i+2), Rn.n, Rn.s) )\n",
" print('Phi%d1 = %.3f +/- %.3f' % ((i+2), Phin.n, Phin.s) )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The fitted sum of Fourier harmonincs can be reconstructed and visualized.__"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"tmodel = np.linspace(time.min(),time.max(),10000)\n",
"\n",
"lcmodel = fitter.lc_model(tmodel,*pfit)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(time,brightness,c='k')\n",
"plt.plot(tmodel,lcmodel)\n",
"plt.xlim(time.min(),time.min()+2)\n",
"plt.gca().invert_yaxis()\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Brightness\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The residual light curve can also be easily constructed.__"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"time, resbrightness, resyerr = fitter.get_residual()\n",
"\n",
"plt.plot(time,resbrightness)\n",
"plt.gca().invert_yaxis()\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Residual brightness\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Extracting all frequencies\n",
"\n",
"We initialize the `MultiFrequencyFitter` by passing the light curve. Passing the measurement errors is optional, but it strongly affects the results!"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"fitter = MultiFrequencyFitter(time,brightness)\n",
"\n",
"# The same can be done with measurement errors\n",
"#fitter = MultiFrequencyFitter(time,brightness,brightness_error)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Prewhitening with given number of frequencies are done via `fit_freqs`.__"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pfit,perr = fitter.fit_freqs(\n",
" maxfreqs = 3, # Set to e.g. 9999 to get all frequencies\n",
" sigma = 4, # S/N ratio above which a frequency is considered significant\n",
" boxwidth = 1, # The frequency range to be used to calculate noise in the residual spectrum\n",
" kind='sin', # Fourier series type, 'sin' or 'cos'\n",
"\n",
" minimum_frequency=None,\n",
" maximum_frequency=20, # Overwrites nyquist_factor!\n",
" nyquist_factor=1,\n",
" samples_per_peak=100, # Oversampling factor in Lomb-Scargle spectrum calculation\n",
"\n",
" plotting = True, # Show spectrum and phase curve\n",
" scale='flux', # Light curve scale, `mag` or `flux`\n",
"\n",
" error_estimation='analytic', # Method of the error estimation\n",
" ntry=1000, # Number of samplings if method is NOT `analytic`\n",
" sample_size=0.999, # Subsample size if method is `bootstrap`\n",
" parallel=True, # Parallel sampling if method is NOT `analytic`\n",
" ncores=-1 # Number of cores if method is NOT `analytic`\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The results and its errors are stored in two arrays, in the following order:\n",
"\n",
"- the frequencies in cycle/days,\n",
"- the amplitudes and phases,\n",
"- the zero point.\n",
"\n",
"These can be printed e.g. as follows:"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"f1 = 2.058971 0.000052\n",
"A1 = 0.115325 0.000299\n",
"Phi1 = 1.892002 0.000412\n",
"f2 = 4.117866 0.000130\n",
"A2 = 0.046097 0.000299\n",
"Phi2 = 4.363133 0.001031\n",
"f3 = 6.176849 0.000305\n",
"A3 = 0.019664 0.000299\n",
"Phi3 = 0.010598 0.002416\n",
"Zero point = 0.998 0.032\n"
]
}
],
"source": [
"ncomponents = int((len(pfit)-1)//3)\n",
"\n",
"for i in range(ncomponents):\n",
" print('f%d = %.6f %.6f' % ((i+1), pfit[i], perr[i]) )\n",
" print('A%d = %.6f %.6f' % ((i+1), pfit[i+ncomponents], perr[i+ncomponents]) )\n",
" print('Phi%d = %.6f %.6f' % ((i+1), pfit[i+2*ncomponents], perr[i+2*ncomponents]) )\n",
" \n",
"print('Zero point = %.3f %.3f' % (pfit[-1], perr[-1]) )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The fitted sum of all derived frequncies can be reconstructed and visualized.__"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"tmodel = np.linspace(time.min(),time.max(),10000)\n",
"\n",
"lcmodel = fitter.lc_model(tmodel,*pfit)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(time,brightness,c='k')\n",
"plt.plot(tmodel,lcmodel)\n",
"plt.xlim(time.min(),time.min()+2)\n",
"plt.gca().invert_yaxis()\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Brightness\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__The residual light curve can also be easily constructed.__"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"time, resbrightness, resyerr = fitter.get_residual()\n",
"\n",
"plt.plot(time,resbrightness)\n",
"plt.gca().invert_yaxis()\n",
"plt.xlabel(\"Time\")\n",
"plt.ylabel(\"Residual brightness\")\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "seismolab",
"language": "python",
"name": "seismolab"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 4
}