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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"\n",
"%load_ext autoreload\n",
"%autoreload 2\n",
"\n",
"%load_ext line_profiler"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
"The autoreload extension is already loaded. To reload it, use:\n",
" %reload_ext autoreload\n",
"The line_profiler extension is already loaded. To reload it, use:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" %reload_ext line_profiler\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: pylab import has clobbered these variables: ['spacing']\n",
"`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
]
}
],
"prompt_number": 97
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Configuration"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"K_0 = 10.0\n",
"L = 2.0 * np.pi / K_0 # Outer length scale\n",
"l_0 = 0.001 # Inner length scale\n",
"k_max = 5.48 / l_0 \n",
"\n",
"c = 343.0 # Speed of sound\n",
"\n",
"target_max_frequency = 400.0 # Max valid frequency in Hz\n",
"\n",
"duration = 15.0 # Duration of the signal\n",
"\n",
"taps = 200 # Filter taps for the modulation filter.\n",
"\n",
"spatial_sample_frequency = 2.0 * target_max_frequency\n",
"\n",
"mean_mu_squared = 5.0e-9 # Mean value of the refractive-index squared.\n",
"\n",
"samples = duration * spatial_sample_frequency\n",
"\n",
"print samples\n",
"\n",
"print L"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"12000.0\n",
"0.628318530718\n"
]
}
],
"prompt_number": 98
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"from scipy.special import erf\n",
"from scipy.signal import fftconvolve\n",
"\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 99
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$\\Phi(x) = 0.5 \\sqrt{\\pi} \\mathrm{erf}(x)$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def phi(x):\n",
" return 0.5 * np.sqrt(np.pi) * erf(x)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 100
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$B(\\rho) = \\frac{\\sqrt{\\pi}}{2} \\langle \\mu^2 \\rangle k^2 r L \\frac{ \\Phi(\\rho /L) }{\\rho / L} $"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def correlation(mean_mu_squared, k, r, L, rho):\n",
" \"\"\" \n",
" :param mu: Spatial flu\n",
"\n",
" \"\"\"\n",
" return np.sqrt(np.pi)/2.0 * mean_mu_squared * k**2.0 * r * L * phi(rho/L) / (rho/L)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 101
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Modulation spectrum"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numba\n",
"\n",
"@numba.autojit\n",
"def modulation_spectrum(mean_mu_squared, k, r, L, rho, n1, n2):#, window=None):\n",
" \"\"\"\n",
" Calculate modulation spectrum.\n",
"\n",
" :param mean_mu_squared: Average squared refractive index. Scalar\n",
" :param k: Wavenumber. Scalar\n",
" :param r: Distance. Scalar or vector.\n",
" :param L: Outer length scale of turbulence. Scalar.\n",
" :param rho: Transverse distance. Vector.\n",
" \"\"\"\n",
" B = correlation(mean_mu_squared, k, r, L, rho) # Sampled at multiples of the spacing (related to spatial sample frequency)\n",
"\n",
" taps = len(rho) # Amount of taps\n",
"\n",
" \"\"\"\n",
" Forward FFT with real input results in a complex output.\n",
" Because the spectrum is symmetric for a real IR we use rfft which gives as output only the positive frequencies.\n",
" \"\"\"\n",
" fr = np.fft.fft(B, n=taps) / taps #Forward FFT with real input, resulting in a complex spectrum. R -> C\n",
"\n",
" \"\"\"We then apply several corrections to obtain a single sided spectrum.\"\"\"\n",
" #fr *= 2.0\n",
" #fr[0] /= 2.0 # DC component should not be doubled.\n",
" #if not N%2: # if not uneven\n",
" # fr[-1] /= 2.0 # And neither should fs/2 be.\n",
"\n",
" \"\"\"The autospectrum is given by :math:`A_{xx} = S_{x}' S_{x}\"\"\"\n",
" auto = fr.conjugate() * fr # Autospectrum, real only.\n",
"\n",
" \"\"\"\n",
" The autospectrum is real-valued. Taking the inverse DFT results in complex and symmetric values.\n",
" \"\"\"\n",
" ir = np.fft.ifft(np.sqrt(auto)) # Impulse response. R -> C\n",
"\n",
" #n = 2 * len(ir) - 1\n",
" #n = len(ir)\n",
" #n1 = np.random.randn(n)\n",
" #n2 = np.random.randn(n)\n",
"\n",
" chi = fftconvolve(n1, ir, mode='valid') \n",
" s = fftconvolve(n2, ir, mode='valid')\n",
" \n",
" spectrum = np.exp(chi + 1j * s)\n",
" #spectrum *= np.exp(-B[0]) # Correction\n",
" \n",
" return spectrum\n",
"\n",
"@numba.autojit\n",
"def modulated_spectrum_multiple_distances(mean_mu_squared, k_max, distance, L, rho, n1, n2):\n",
" \"\"\"\n",
" Calculate modulation spectrum for multiple distances.\n",
" \"\"\"\n",
" out = np.empty((len(distance), len(rho)), dtype='complex128')\n",
" for i, r in enumerate(distance):\n",
" spectrum = modulation_spectrum(mean_mu_squared, k_max, r, L, rho, n1, n2)\n",
" \n",
" out[i, :] = spectrum\n",
" return out"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 102
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"spacing = c / spatial_sample_frequency\n",
"rho = ( np.arange(1, taps+1, dtype='float64') - 0.5 ) * spacing\n",
"\n",
"n = taps *2 - 1 # Amount of samples required for Gaussian noise, taking into account the valid parts of the convolution.\n",
"n1 = np.random.randn(n) # Gaussian noise for convolution with log-amplitude\n",
"n2 = np.random.randn(n) # Gaussian noise for convolution with phase\n",
" \n",
"\n",
"v = 800.0 # Speed of the moving source/receiver in m/s.\n",
"\n",
"#distance += np.linspace(0.0, v*duration, samples) # Distance changes over time, with a unique distance for every sample.\n",
"\n",
"distance = 1000.0 # Intial distance\n",
"distance += np.linspace(0.0, v*duration, samples)\n",
"#distance += np.array([1000, 2000, 3000, 4000, 5000])\n",
"\n",
"out = modulated_spectrum_multiple_distances(mean_mu_squared, k_max, distance, L, rho, n1, n2)\n",
"\n",
" #fig1 = plt.figure(figsize=(16, 12), dpi=80)\n",
" \n",
" #ax1 = fig1.add_subplot(221)\n",
" #ax1.set_title(\"Magnitude of modulation spectrum.\")\n",
" #ax1.plot(frequencies, chi)\n",
" #ax1.set_xlabel(r'$f$ in Hz')\n",
" #ax1.set_ylabel(r'$|M|$ in -')\n",
" #ax1.grid()\n",
" #ax1.set_xlim([0.0, self.f_max])\n",
" \n",
" #ax2 = fig1.add_subplot(222)\n",
" #ax2.set_title(\"Phase of modulation spectrum.\")\n",
" #ax2.plot(frequencies, s)\n",
" #ax2.set_xlabel(r'$f$ in Hz')\n",
" #ax2.set_ylabel(r'$\\angle M$ in -')\n",
" #ax2.grid()\n",
" \n",
" #fig2 = plt.figure(figsize=(16, 12), dpi=80)\n",
" #ax3 = fig1.add_subplot(211)\n",
" #ax3.set_title(r\"Magnitude of modulation spectrum for $r={}$.\".format(r))\n",
" #ax3.plot(frequencies, np.abs(spectrum))\n",
" #ax3.set_xlabel(r'$f$ in Hz')\n",
" #ax3.set_ylabel(r'$|M|$ in -')\n",
" #ax3.grid()\n",
" #ax1.set_xlim([0.0, self.f_max])\n",
" \n",
" #ax4 = fig1.add_subplot(212)\n",
" #ax4.set_title(\"Phase of modulation spectrum.\")\n",
" #ax4.plot(freq.realuencies, np.angle(spectrum))\n",
" #ax4.set_xlabel(r'$f$ in Hz')\n",
" #ax4.set_ylabel(r'$\\angle M$ in -')\n",
" #ax4.grid()\n",
"stored_output = out "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 103
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Spectrum as function of time"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"frequencies = np.fft.fftfreq(taps, 1.0/spatial_sample_frequency) # Create frequency vector.\n",
"times = np.arange(samples) / spatial_sample_frequency\n",
"\n",
"times_mesh, frequencies_mesh = np.meshgrid(times, np.fft.fftshift(frequencies), indexing='ij')\n",
"\n",
"fig = plt.figure(figsize=(18, 12), dpi=240)\n",
"ax1 = fig.add_subplot(211)\n",
"ax1.set_title('Magnitude')\n",
"p = ax1.pcolormesh(times_mesh, frequencies_mesh, 10.0*np.log10( np.abs(np.fft.fftshift(out, axes=1))))\n",
"ax1.set_xlabel('$t$ in s')\n",
"ax1.set_ylabel('$f$ in Hz')\n",
"colorbar(p)\n",
"ax1.grid()\n",
"\n",
"ax2 = fig.add_subplot(212)\n",
"ax2.set_title(\"Phase\")\n",
"p = ax2.pcolormesh(times_mesh, frequencies_mesh, np.unwrap(np.angle(np.fft.fftshift(out, axes=1))))\n",
"ax1.set_xlabel('$t$ in s')\n",
"ax1.set_ylabel('$f$ in Hz')\n",
"colorbar(p)\n",
"ax2.grid()\n",
"#ylim([0, frequencies.max()])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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FXljdqtNQnUl7GjWoIxx7OQG6aJpeDqMBDqMBk47FlTscF/ADoIv+62UvmmMvmlPrdqE1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A8MGa5l1PXpNYUnD9B4MWzWHbKJVjO+ljOPlXjO8c3g3A8y3ny1AL5jwGmSWDlH26jPSql91cwk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\n08cYAg4AWzwATRw8bCRyL2QHJee6I6LH8/ImoIE7Zrk4ZpfqwC3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E8jLpi3EldPHyiexL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1xrXT8/CcHvXCn9X7nGjk2hdklL6Hj1O1vVPtmeavkteumyY4wuXJ1CPRav4bFYVim55557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\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im+OM6H+mt1Xp06wC/1wV0Oh4nijfo177hslgGjttx53zvU1oIHA5sekX2+chi2wNOXJQ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\n",
"text": [
"<matplotlib.figure.Figure at 0x76eed10>"
]
}
],
"prompt_number": 104
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Spectrum at $t=0$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(np.fft.fftshift(frequencies), np.fft.fftshift(np.abs(out[0,:])))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 107,
"text": [
"[<matplotlib.lines.Line2D at 0x63d5ed0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dsBZwXqvEiww8koDLRJ7IWDlwY4SyZ4+5+wbMI5T6eurTfAw4Rmlro/4xfLh5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\ngAuCIPiU/wfU/SFr9T79gQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x63c1fd0>"
]
}
],
"prompt_number": 107
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"out = stored_output * np.hanning(len(distance))[:,None]\n",
"\n",
"print out.shape"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"p_frequencies = np.fft.fftfreq(len(distance), 1.0/spatial_sample_frequency)\n",
"print p_frequencies\n",
"\n",
"period_mesh, frequencies_mesh = np.meshgrid(np.fft.fftshift(p_frequencies), np.fft.fftshift(frequencies), indexing='ij')\n",
"\n",
"print out.shape \n",
"print len(distance)\n",
"\n",
"fig = plt.figure(figsize=(18, 12), dpi=240)\n",
"\n",
"ax1 = fig.add_subplot(321)\n",
"ax1.set_title('Amplitude of FFT of amplitude')\n",
"p1 = ax1.pcolormesh(period_mesh, frequencies_mesh, (np.abs(np.fft.fft((np.abs(out))/len(distance), axis=1))))\n",
"colorbar(p1)\n",
"ax1.set_xlabel('Frequency of the modulation')\n",
"ax1.set_ylabel('Frequency')\n",
"ax1.grid()\n",
"\n",
"ax2 = fig.add_subplot(322)\n",
"ax2.set_title('Unwrapped phase of FFT of amplitude')\n",
"p2 = ax2.pcolormesh(period_mesh, frequencies_mesh, np.unwrap(np.angle(np.fft.fft((np.abs(out))/len(distance), axis=1))))\n",
"colorbar(p2)\n",
"ax2.set_xlabel('Frequency of the modulation')\n",
"ax2.set_ylabel('Frequency')\n",
"ax2.grid()\n",
"\n",
"ax3 = fig.add_subplot(323)\n",
"ax3.set_title('Amplitude of FFT of unwrapped phase')\n",
"p3 = ax3.pcolormesh(period_mesh, frequencies_mesh, (np.abs(np.fft.fft((np.angle(out))/len(distance), axis=1))))\n",
"colorbar(p3)\n",
"ax3.set_xlabel('Frequency of the modulation')\n",
"ax3.set_ylabel('Frequency')\n",
"ax3.grid()\n",
"\n",
"ax4 = fig.add_subplot(324)\n",
"ax4.set_title('Unwrapped phase of FFT of unwrapped phase')\n",
"p4 = ax4.pcolormesh(period_mesh, frequencies_mesh, np.unwrap(np.angle(np.fft.fft((np.angle(out))/len(distance), axis=1))))\n",
"colorbar(p4)\n",
"ax4.set_xlabel('Frequency of the modulation')\n",
"ax4.set_ylabel('Frequency')\n",
"ax4.grid()\n",
"\n",
"ax5 = fig.add_subplot(325)\n",
"ax5.set_title('Amplitude of FFT complex out')\n",
"p5 = ax5.pcolormesh(period_mesh, frequencies_mesh, (np.abs(np.fft.fft(((out))/len(distance), axis=1))))\n",
"colorbar(p5)\n",
"ax5.set_xlabel('Frequency of the modulation')\n",
"ax5.set_ylabel('Frequency')\n",
"ax5.grid()\n",
"\n",
"ax6 = fig.add_subplot(326)\n",
"ax6.set_title('Unwrapped phase of FFT of complex out')\n",
"p6 = ax6.pcolormesh(period_mesh, frequencies_mesh, np.unwrap(np.angle(np.fft.fft(((out))/len(distance), axis=1))))\n",
"colorbar(p6)\n",
"ax6.set_xlabel('Frequency of the modulation')\n",
"ax6.set_ylabel('Frequency')\n",
"ax6.grid()\n"
]
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Correlation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(rho, correlation(mean_mu_squared, k_max, 100.0, L, rho))\n",
"grid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x75f0d90>"
]
}
],
"prompt_number": 106
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 106
}
],
"metadata": {}
}
]
}
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