Skip to content

Instantly share code, notes, and snippets.

@apatlpo
Created July 15, 2019 10:14
Show Gist options
  • Save apatlpo/53ec0b3c58dd39e4febdfa78f2eea034 to your computer and use it in GitHub Desktop.
Save apatlpo/53ec0b3c58dd39e4febdfa78f2eea034 to your computer and use it in GitHub Desktop.
mtspec complex array
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# test mtspec for complex time series"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from mtspec import mtspec\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"float64\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x115a964a8>]"
]
},
"execution_count": 2,
"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": [
"#ti = np.arange(0,256*2)\n",
"ti = np.arange(0,60,1./24.)\n",
"omega = 2. # cpd\n",
"\n",
"data = np.cos(2*np.pi*omega*ti)\n",
"data += np.random.randn(len(data))\n",
"\n",
"data_c = np.cos(2*np.pi*omega*ti) + 1j*np.sin(2*np.pi*omega*ti)\n",
"data_c += np.random.randn(len(data_c))\n",
"\n",
"print(data.dtype)\n",
"\n",
"plt.plot(ti,np.real(data))\n",
"plt.plot(ti,np.real(data_c)+5.)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x117b3b828>]"
]
},
"execution_count": 3,
"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": [
"E, f = mtspec(data=data, delta=1./24., time_bandwidth=4., \\\n",
" number_of_tapers=6, quadratic=True)\n",
"\n",
"E_c, f_c = mtspec(data=data_c, delta=1./24., time_bandwidth=4., \\\n",
" number_of_tapers=6, quadratic=True)\n",
"\n",
"E_c = E_c[f_c.argsort()]\n",
"f_c.sort()\n",
"\n",
"plt.plot(f, np.log10(E))\n",
"plt.plot(f_c, np.log10(E_c))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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(f, np.log10(E))\n",
"plt.plot(f_c, np.log10(E_c))\n",
"plt.xlim(0,12.)\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"## Notes sur le code fortran\n",
"\n",
"\n",
"```\n",
"subroutine mtspec_d (npts,dt,x,tbp,kspec,nf,freq,spec, &\n",
"\t\tverb,qispec,adapt, &\n",
"\t\tyk, wt, err, se, sk, &\n",
"\t\trshape, fstat, fcrit, nodemean )\n",
"\n",
" real(8), intent(in), dimension(npts) :: x\n",
" real(8), intent(out), dimension(nf) :: freq\n",
" real(8), intent(out), dimension(nf) :: spec\n",
"\n",
"\n",
"subroutine mtspec_pad (npts,nfft,dt,x,tbp,kspec,nf,freq,spec, &\n",
"\t\tverb,qispec,adapt, &\n",
"\t\tyk, wt, err, se, sk, &\n",
"\t\trshape, fstat, fcrit, nodemean )\n",
"\n",
" real(4), intent(in), dimension(npts) :: x\n",
" \treal(4), intent(out), dimension(nf) :: freq\n",
" \treal(4), intent(out), dimension(nf) :: spec\n",
" (real(8), dimension(nf) :: spec8)\n",
"\n",
"\n",
"subroutine mtspec_c (npts,dt,x,tbp,kspec,nf,freq,spec, &\n",
" \t\tverb,qispec,adapt, &\n",
" \t\tyk, wt, err, se, sk, &\n",
" \t\trshape, fstat, fcrit, nodemean )\n",
"\n",
" complex(4), intent(in), dimension(npts) :: x\n",
" \t\treal(4), intent(out), dimension(nf) :: freq\n",
" \t\treal(4), intent(out), dimension(nf) :: spec\n",
" (real(8), intent(out), dimension(nf) :: spec8)\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": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment