\n",
"\n",
"Here I'm using Obspy to generate bode plots for different sensors and dataloggers using the DMC nominal response files. Alternatively, if one needs, can input the poles and zeros to generate the response/ bode plots.
\n",
"Sensors: CMG-3T, Titan accelerometer, and STS-2 \n",
"Dataloggers: Q330, Centaur, and RT-130
\n",
"Please download the nominal response files you need from this link to your working folder: http://ds.iris.edu/NRL/ \n",
"At the end of the execution of the follwing codes, I am saving the plots in .png format into your working folder.
Using DMC Nominal Response Files \n",
"\n",
" Download the sensors or dataloggers transfer function from DMC, you can insert it into the following code and generate bode plots
\n",
" \n",
"Link: http://ds.iris.edu/NRL/sensors/guralp/guralp_cmg3t_sensors.html \n",
"File: http://ds.iris.edu/NRL/sensors/guralp/RESP.XX.NS007..BHZ.CMG3T.120.1500"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Loadding necessary tools\n",
"\n",
"import obspy\n",
"from obspy import read\n",
"import matplotlib.pyplot as plt\n",
"from obspy import read_inventory\n",
"from obspy.signal.invsim import paz_to_freq_resp\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the resp file and plot it.\n",
"\n",
"Response.plot(min_freq, output='VEL', start_stage=None, end_stage=None, label=None, axes=None, sampling_rate=None, unwrap_phase=False, plot_degrees=False, show=True, outfile=None)\n",
"\n",
"minimum frequency = 0.0001 \n",
"Output units: \"DISP\" for displacement / \"VEL\" for velocity / \"ACC\" for acceleration \n",
"sample rate = 5000Hz \n",
"unwrap_phase = can wrap or unwrap the phase \n",
"outfile = save the plot \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Channel Response\n",
"\tFrom M/S (Velocity in Meters per Second) to COUNTS (Digital Counts)\n",
"\tOverall Sensitivity: 1500 defined at 1.000 Hz\n",
"\t2 stages:\n",
"\t\tStage 1: PolesZerosResponseStage from M/S to V, gain: 1500\n",
"\t\tStage 2: CoefficientsTypeResponseStage from V to COUNTS, gain: 1\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"inv = read_inventory(\"RESP.XX.NS007..BHZ.CMG3T.120.1500.txt\")\n",
"# print(inv)\n",
"resp = inv[0][0][0].response\n",
"print(resp)\n",
"# resp.plot(0.0001, output=\"VEL\", start_stage=1, end_stage=2, sampling_rate=5000, unwrap_phase=True)\n",
"\n",
"bode_plot = resp.plot(0.0005, output=\"VEL\", sampling_rate=800,\n",
" unwrap_phase=False, label='CMG3T')\n",
"bode_plot.savefig(\"RESP.XX.NS007..BHZ.CMG3T.120.1500.png\",dpi = 300)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
Alternative Method: Using Poles and Zeros \n",
"\n",
"If you have the sensor's or datalogger's transfer function in poles and zeros format, you can insert it into the following code and generate bode plots
\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" paz_to_freq_resp(poles, zeros, scale_fac, t_samp, nfft, freq=False)\n",
"\n",
"Convert Poles and Zeros (PAZ) to frequency response.\n",
"\n",
"The output contains the frequency zero which is the offset of the trace.\n",
"Parameters:\t\n",
"\n",
"1. poles (list of complex) The poles of the transfer function\n",
"2. zeros (list of complex) The zeros of the transfer function\n",
"3. scale_fac (float) Gain factor\n",
"4. t_samp (float) Sampling interval in seconds\n",
"5. nfft (int) Number of FFT points of signal which needs correction "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# insert the device ploes, zeros, and gain information here\n",
"#Eg: CMG3T\n",
"\n",
"poles = [-3.700800E-02+3.700800E-02j, -3.700800E-02-3.700800E-02j, -5.026500E+02+0j, \n",
" -1.005000E+03+0j, -1.131000E+03+0j]\n",
"zeros = [0+0j, 0+0j]\n",
"gain = 5.71508E+08\n",
"sensitivity = 1.500000E+03\n",
"sample_interval = 0.0001\n",
"nfft = 65536*1024*2\n",
"freq = True # False\n",
"\n",
"h, f = paz_to_freq_resp(poles, zeros, gain*sensitivity, sample_interval, nfft, freq)\n",
"\n",
"plt.figure(figsize=(8, 6), dpi=300)\n",
"plt.subplot(211)\n",
"plt.loglog(f, abs(h))\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.ylabel('Amplitude')\n",
"plt.xlim(5*10**-4, 5*10**2)\n",
"plt.ylim(10**-1, 10**4)\n",
"plt.grid()\n",
"plt.legend(['CMG3T'])\n",
"\n",
"plt.subplot(212)\n",
"phase = np.unwrap(np.angle(h))\n",
"plt.semilogx(f, phase)\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.ylabel('Phase [rad]')\n",
"plt.xlim(5*10**-4, 5*10**2)\n",
"plt.grid()\n",
"\n",
"plt.yticks(\n",
" [0, np.pi / 2, np.pi, 3 * np.pi / 2, 2 * np.pi, -np.pi / 2, -np.pi, -3 * np.pi / 2, -2 * np.pi],\n",
" ['$0$', r'$\\frac{\\pi}{2}$', r'$\\pi$', r'$\\frac{3\\pi}{2}$', r'$2\\pi$', \n",
" r'$\\frac{\\pi}{2}$', r'$\\pi$', r'$\\frac{3\\pi}{2}$', r'$2\\pi$'])\n",
"plt.ylim(-2*np.pi - 0.2, 2*np.pi + 0.2)\n",
"\n",
"plt.suptitle('Frequency Response')\n",
"plt.subplots_adjust(wspace=0.3)\n",
"# plt.show()\n",
"\n",
"plt.savefig(\"RESP.poles.zeros.png\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"--------------------------------------------------------------------------------------------------------------------------------------------------------------------------