{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Directivities demo\n",
"\n",
"The goal of this notebook is to demonstrate how microphone and source directivities can be taken into account in room impulse response (RIR) simulation with `pyroomacoustics`.\n",
"\n",
"At the time of writing (August 31, 2021), the following is supported:\n",
"- Microphone directivities with the Image Source Method (ISM) for shoebox and arbitrary shape rooms.\n",
"- Source directivies with ISM for only shoebox rooms.\n",
"\n",
"Below is a list of what this notebook covers. \n",
"\n",
"1. [Available directivity patterns](#pattern)\n",
"2. [Microphone directivity](#mic)\n",
"3. [Rotating microphone](#rotate)\n",
"4. [Source directivity](#source)\n",
"5. [Microphone array directivities](#micarray)\n",
" - [Same directivity for all microphones](#same)\n",
" - [Different directivity for each microphone](#diff)\n",
" - [Helper function for circular microphone arrays](#circ)\n",
"\n",
"Let's begin with the necessary imports."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pyroomacoustics as pra\n",
"from pyroomacoustics import dB\n",
"from pyroomacoustics.directivities import (\n",
" DirectivityPattern,\n",
" DirectionVector,\n",
" CardioidFamily,\n",
")\n",
"from pyroomacoustics.doa import spher2cart\n",
"from scipy.io import wavfile\n",
"import IPython\n",
"\n",
"fs, signal = wavfile.read(\"arctic_a0010.wav\")\n",
"signal = signal / np.max(np.abs(signal)) # so that simulation is within [-1, 1] for normalize=False"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"## Available directivity patterns\n",
"\n",
"There are four (frequency-independent) directivities that can be used out-of-the box:\n",
"- Figure eight \n",
"- Hyper-cardioid\n",
"- Cardioid\n",
"- Sub-cardioid\n",
"\n",
"Below is a comparison of their 2D polar patterns."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/eric/GITHUB/forked_repos/satvik/pyroomacoustics/pyroomacoustics/utilities.py:321: RuntimeWarning: divide by zero encountered in log10\n",
" return 20 * np.log10(np.abs(signal))\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# angles to plot over\n",
"angles = np.linspace(start=0, stop=360, num=361, endpoint=True)\n",
"angles = np.radians(angles)\n",
"lower_gain = -20\n",
"\n",
"# plot each pattern\n",
"fig = plt.figure()\n",
"ax = plt.subplot(111, projection=\"polar\")\n",
"for pattern in DirectivityPattern:\n",
"\n",
" dir_obj = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=0, colatitude=90, degrees=True), \n",
" pattern_enum=pattern\n",
" )\n",
" resp = dir_obj.get_response(azimuth=angles, magnitude=True, degrees=False)\n",
" resp_db = dB(np.array(resp))\n",
" ax.plot(angles, resp_db, label=pattern.name)\n",
"\n",
"plt.legend(bbox_to_anchor=(1, 1))\n",
"plt.ylim([lower_gain, 0])\n",
"ax.yaxis.set_ticks(np.arange(start=lower_gain, stop=5, step=5))\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Support for 3D is also available."
]
},
{
"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": [
"pattern = DirectivityPattern.HYPERCARDIOID\n",
"orientation = DirectionVector(azimuth=45, colatitude=45, degrees=True)\n",
"\n",
"# create cardioid object\n",
"dir_obj = CardioidFamily(orientation=orientation, pattern_enum=pattern)\n",
"\n",
"# plot\n",
"azimuth = np.linspace(start=0, stop=360, num=361, endpoint=True)\n",
"colatitude = np.linspace(start=0, stop=180, num=180, endpoint=True)\n",
"dir_obj.plot_response(azimuth=azimuth, colatitude=colatitude, degrees=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"## Microphone directivity\n",
"\n",
"Adding a directivity to a microphone is as simple as passing a `Directivity` object to the a room's `add_microphone` method."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mic_pattern = DirectivityPattern.HYPERCARDIOID\n",
"\n",
"# create room with single source and microphone\n",
"room = pra.ShoeBox(\n",
" p=[5, 3, 3],\n",
" materials=pra.Material(0.4),\n",
" fs=16000,\n",
" max_order=40,\n",
")\n",
"room.add_source(position=[1, 1, 1.8])\n",
"mic_dir = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=180, colatitude=60, degrees=True),\n",
" pattern_enum=mic_pattern,\n",
")\n",
"room.add_microphone(loc=[3.5, 1.8, 1.0], directivity=mic_dir);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can then plot the room to see the set directivity."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = room.plot()\n",
"ax.set_xlim([-1, 6])\n",
"ax.set_ylim([-1, 4])\n",
"ax.set_zlim([-1, 4])\n",
"ax.set_title(\"\")\n",
"fig.set_size_inches(10, 5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Simulating the RIR will take into account the specified directivity."
]
},
{
"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": [
"room.plot_rir()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"## Rotating microphone\n",
"\n",
"Let's do a simple listening test to see how setting the directivity affects the simulation of a source, namely we will rotate the microphone's directivity pattern. \n",
"\n",
"Here's the original file."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Original WAV:\n"
]
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print(\"Original WAV:\")\n",
"IPython.display.Audio(signal, rate=fs, normalize=False)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ANGLE : 0.0\n",
"Estimated RT60 : 0.1913125\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ANGLE : 90.0\n",
"Estimated RT60 : 0.1955\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ANGLE : 180.0\n",
"Estimated RT60 : 0.187125\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ANGLE : 270.0\n",
"Estimated RT60 : 0.1955\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# rotate microphone directivity and simulate\n",
"n = 4\n",
"pattern = DirectivityPattern.CARDIOID\n",
"res = []\n",
"for i in range(n): \n",
" angle = 360 * i / n\n",
" print(\"ANGLE : {}\".format(angle))\n",
" \n",
" # create room\n",
" room_dim = [6.5, 3, 3]\n",
" room = pra.ShoeBox(\n",
" p=room_dim,\n",
" materials=pra.Material(0.6),\n",
" fs=16000,\n",
" max_order=20,\n",
" )\n",
"\n",
" # add source signal\n",
" source_loc = [1, 1.5, 1.5]\n",
" room.add_source(source_loc, signal=signal)\n",
"\n",
" # add microphone with directivity\n",
" mic_loc = [3.5, 1.5, 1.5]\n",
" directivity = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=angle, colatitude=90, degrees=True), \n",
" pattern_enum=pattern\n",
" )\n",
" room.add_microphone(mic_loc, directivity=directivity)\n",
" \n",
" # simulate\n",
" room.simulate()\n",
" \n",
" est_rt_60 = pra.experimental.rt60.measure_rt60(room.rir[0][0], fs=16000)\n",
" print(\"Estimated RT60 : {}\".format(est_rt_60))\n",
" \n",
" # plot bird's eye view\n",
" room_2d = pra.ShoeBox(p=room_dim[:2])\n",
" room_2d.add_source(source_loc[:2])\n",
" directivity_2d = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=angle, degrees=True), \n",
" pattern_enum=pattern\n",
" )\n",
" room_2d.add_microphone(mic_loc[:2], directivity=directivity_2d)\n",
" \n",
" _, ax = plt.subplots(nrows=1, ncols=2, figsize=(10, 2.5))\n",
" room_2d.plot(ax=ax[0])\n",
" n_samples = len(room.rir[0][0])\n",
" t_vals = np.arange(n_samples) / room.fs\n",
" ax[1].plot(t_vals, room.rir[0][0])\n",
" ax[1].set_xlabel(\"Time [s]\")\n",
" ax[1].set_ylim([-0.1, 0.6])\n",
" plt.show()\n",
" \n",
" # output signal\n",
" IPython.display.display(IPython.display.Audio(room.mic_array.signals[0,:], rate=fs, normalize=False))\n",
" res.append(room.rir[0][0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can simulation an omnidirectional microphone for comparison."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimated RT60 : 0.1955\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" \n",
" \n",
" Your browser does not support the audio element.\n",
" \n",
" "
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# create room\n",
"room_dim = [6.5, 3, 3]\n",
"room = pra.ShoeBox(\n",
" p=room_dim,\n",
" materials=pra.Material(0.6),\n",
" fs=16000,\n",
" max_order=20,\n",
")\n",
"\n",
"# add source signal\n",
"source_loc = [1, 1.5, 1.5]\n",
"room.add_source(source_loc, signal=signal)\n",
"\n",
"# add microphone with directivity\n",
"mic_loc = [3.5, 1.5, 1.5]\n",
"room.add_microphone(mic_loc)\n",
"\n",
"# simulate\n",
"room.simulate()\n",
"\n",
"est_rt_60 = pra.experimental.rt60.measure_rt60(room.rir[0][0], fs=16000)\n",
"print(\"Estimated RT60 : {}\".format(est_rt_60))\n",
"\n",
"# plot bird's eye view\n",
"room_2d = pra.ShoeBox(p=room_dim[:2])\n",
"room_2d.add_source(source_loc[:2])\n",
"room_2d.add_microphone(mic_loc[:2])\n",
"\n",
"_, ax = plt.subplots(nrows=1, ncols=1)\n",
"n_samples = len(room.rir[0][0])\n",
"t_vals = np.arange(n_samples) / room.fs\n",
"ax.plot(t_vals, room.rir[0][0], label=\"omni\", alpha=0.7)\n",
"ax.plot(t_vals, res[2], label=\"directivity, angle=180\", alpha=0.7)\n",
"ax.set_xlabel(\"Time [s]\")\n",
"ax.set_ylim([-0.1, 0.7])\n",
"ax.legend()\n",
"plt.show()\n",
"\n",
"# output signal\n",
"IPython.display.display(IPython.display.Audio(room.mic_array.signals[0,:], rate=fs, normalize=False))\n",
"res.append(room.rir[0][0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice how the RIR simulation with the directivity is more attenuated than the omnidirectional one. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"## Source directivity\n",
"\n",
"Adding a directivity to a source is as simple as passing a `Directivity` object to the room's `add_source` method."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"source_pattern = DirectivityPattern.HYPERCARDIOID\n",
"\n",
"# create room with single source and microphone\n",
"room = pra.ShoeBox(\n",
" p=[5, 3, 3],\n",
" materials=pra.Material(0.4),\n",
" fs=16000,\n",
" max_order=40,\n",
")\n",
"source_dir = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=0, colatitude=60, degrees=True),\n",
" pattern_enum=source_pattern,\n",
")\n",
"room.add_source(position=[1, 1, 1.8], directivity=source_dir)\n",
"room.add_microphone(loc=[3.5, 1.8, 1.0]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can then plot the room to see the set directivity."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = room.plot()\n",
"ax.set_xlim([-1, 6])\n",
"ax.set_ylim([-1, 4])\n",
"ax.set_zlim([-1, 4])\n",
"ax.set_title(\"\")\n",
"fig.set_size_inches(10, 5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"## Microphone array directivities\n",
"\n",
"For specifying the directivities of multiple microphones at once, there are a few approaches."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"### 1) Same directivity for all microphones\n",
"\n",
"Just requires creating one `Directivity` object. Note that we use the `add_microphone_array` method of the `Room` object!"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pattern = DirectivityPattern.HYPERCARDIOID\n",
"orientation = DirectionVector(azimuth=0, colatitude=0, degrees=True)\n",
"\n",
"# create room\n",
"room = pra.ShoeBox(\n",
" p=[7, 7, 3],\n",
" materials=pra.Material(0.4),\n",
" fs=16000,\n",
" max_order=40,\n",
")\n",
"\n",
"# add source\n",
"room.add_source([1, 1, 1.7])\n",
"\n",
"# add linear microphone array\n",
"M = 3\n",
"R = pra.linear_2D_array(center=[5, 5], M=M, phi=0, d=0.7)\n",
"R = np.concatenate((R, np.ones((1, M))))\n",
"directivity = CardioidFamily(orientation=orientation, pattern_enum=pattern)\n",
"room.add_microphone_array(R, directivity=directivity)\n",
"\n",
"# plot room\n",
"fig, ax = room.plot()\n",
"ax.set_title(\"\")\n",
"ax.set_xlim([-1, 8])\n",
"ax.set_ylim([-1, 8])\n",
"ax.set_zlim([-1, 4])\n",
"\n",
"# plot\n",
"room.plot_rir()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"### 2) Different directivity for each microphone\n",
"\n",
"For this, a separate `Directivity` object needs to be created for each microphone."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dir_1 = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=180, colatitude=30, degrees=True),\n",
" pattern_enum=DirectivityPattern.HYPERCARDIOID,\n",
")\n",
"dir_2 = CardioidFamily(\n",
" orientation=DirectionVector(azimuth=0, colatitude=30, degrees=True),\n",
" pattern_enum=DirectivityPattern.HYPERCARDIOID,\n",
")\n",
"\n",
"# create room\n",
"room = pra.ShoeBox(\n",
" p=[7, 7, 3],\n",
" materials=pra.Material(0.4),\n",
" fs=16000,\n",
" max_order=40,\n",
")\n",
"\n",
"# add source\n",
"room.add_source([1, 1, 1.7])\n",
"\n",
"# add linear microphone array\n",
"M = 2\n",
"R = pra.linear_2D_array(center=[5, 5], M=M, phi=0, d=0.7)\n",
"R = np.concatenate((R, np.ones((1, M))))\n",
"room.add_microphone_array(R, directivity=[dir_1, dir_2])\n",
"\n",
"# plot room\n",
"fig, ax = room.plot()\n",
"ax.set_xlim([-1, 8])\n",
"ax.set_ylim([-1, 8])\n",
"ax.set_zlim([-1, 4])\n",
"\n",
"# plot\n",
"room.plot_rir()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"### 3) Helper function for circular microphone arrays\n",
"\n",
"For such arrays, the function `pyroomacoustics.beamforming.circular_microphone_array_xyplane` can be to create a `MicrophoneArray` with a circular array configuration and the specified directivity facing outwards."
]
},
{
"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": [
"mic_rotation = 0\n",
"room_dim = [7, 7, 5]\n",
"source_loc = [5, 2.5, 4]\n",
"center = [3, 3, 2]\n",
"colatitude = 90\n",
"\n",
"# make a room\n",
"room = pra.ShoeBox(p=room_dim)\n",
"\n",
"# add source\n",
"room.add_source(source_loc)\n",
"\n",
"# add circular microphone array\n",
"pattern = DirectivityPattern.CARDIOID\n",
"orientation = DirectionVector(azimuth=mic_rotation, colatitude=colatitude, degrees=True)\n",
"directivity = CardioidFamily(orientation=orientation, pattern_enum=pattern)\n",
"mic_array = pra.beamforming.circular_microphone_array_xyplane(\n",
" center=center,\n",
" M=7,\n",
" phi0=mic_rotation,\n",
" radius=50e-2,\n",
" fs=room.fs,\n",
" directivity=directivity,\n",
")\n",
"room.add_microphone_array(mic_array)\n",
"\n",
"# plot everything\n",
"fig, ax = room.plot()\n",
"ax.set_xlim([-1, 8])\n",
"ax.set_ylim([-1, 8])\n",
"ax.set_zlim([-1, 6]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It also works in 2D."
]
},
{
"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": [
"mic_rotation = 0\n",
"room_dim = [7, 7]\n",
"source_loc = [5, 2.5]\n",
"center = [3, 3]\n",
"\n",
"# make a room\n",
"room = pra.ShoeBox(p=room_dim)\n",
"\n",
"# add source\n",
"room.add_source(source_loc)\n",
"\n",
"# add circular microphone array\n",
"pattern = DirectivityPattern.HYPERCARDIOID\n",
"orientation = DirectionVector(azimuth=mic_rotation, degrees=True)\n",
"directivity = CardioidFamily(orientation=orientation, pattern_enum=pattern)\n",
"mic_array = pra.beamforming.circular_microphone_array_xyplane(\n",
" center=center,\n",
" M=7,\n",
" phi0=mic_rotation,\n",
" radius=100e-2,\n",
" fs=room.fs,\n",
" directivity=directivity,\n",
")\n",
"room.add_microphone_array(mic_array)\n",
"\n",
"# plot everything\n",
"fig, ax = room.plot()\n",
"ax.set_xlim([-1, 8])\n",
"ax.set_ylim([-1, 8]);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "pra_env",
"language": "python",
"name": "pra_env"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}