diff --git a/lisainstrument/__init__.py b/lisainstrument/__init__.py
index a13a3df5c85798ddebb94b633915375bee78fec5..a44d12869307315b9915b730cb16ea50bb4f668c 100644
--- a/lisainstrument/__init__.py
+++ b/lisainstrument/__init__.py
@@ -5,3 +5,9 @@
 from .meta import __version__
 from .meta import __author__
 from .meta import __email__
+
+from .noises import white
+from .noises import violet
+from .noises import pink
+from .noises import red
+from .noises import infrared
diff --git a/lisainstrument/noises.py b/lisainstrument/noises.py
index 1a9d2059c64ff18d3ff9fbe1871d9915e0346492..5579124bdec63f823420b40125899abb0106dc84 100644
--- a/lisainstrument/noises.py
+++ b/lisainstrument/noises.py
@@ -3,6 +3,65 @@
 """
 Noises module.
 
+Implements basic random noise generators, and use them to implement instrumental noises.
+
 Authors:
     Jean-Baptiste Bayle <j2b.bayle@gmail.com>
 """
+
+import logging
+import numpy
+import pyplnoise
+
+from numpy import pi, sqrt
+from lisaconstants import c
+
+
+def white(fs, size, psd):
+    """Generate a white """
+    logging.debug("Generating white noise (fs=%s Hz, size=%s, psd=%s)", fs, size, psd)
+    if not psd:
+        logging.debug("Vanishing power spectral density, bypassing noise generation")
+        return 0
+    generator = pyplnoise.WhiteNoise(fs, psd / 2)
+    return generator.get_series(size)
+
+
+def violet(fs, size, psd):
+    """Generate a violet noise in f^2."""
+    logging.debug("Generating violet noise (fs=%s Hz, size=%s, psd=%s)", fs, size, psd)
+    if not psd:
+        logging.debug("Vanishing power spectral density, bypassing noise generation")
+        return 0
+    white_noise = white(fs, size, psd)
+    return numpy.gradient(white_noise, 1 / fs) / (2 * pi)
+
+
+def pink(fs, size, psd):
+    """Generate a pink noise in f^(-1)."""
+    logging.debug("Generating pink noise (fs=%s Hz, size=%s, psd=%s)", fs, size, psd)
+    if not psd:
+        logging.debug("Vanishing power spectral density, bypassing noise generation")
+        return 0
+    generator = pyplnoise.PinkNoise(fs, 1 / size, fs / 2)
+    return sqrt(psd / 2) * generator.get_series(size)
+
+
+def red(fs, size, psd):
+    """Generate a red noise (also Brownian or random walk) in f^(-2)."""
+    logging.debug("Generating red noise (fs=%s Hz, size=%s, psd=%s)", fs, size, psd)
+    if not psd:
+        logging.debug("Vanishing power spectral density, bypassing noise generation")
+        return 0
+    generator = pyplnoise.RedNoise(fs, 1 / size)
+    return sqrt(psd / 2) * generator.get_series(size)
+
+
+def infrared(fs, size, psd):
+    """Generate an infrared noise in f^(-4)."""
+    logging.debug("Generating infrared noise (fs=%s Hz, size=%s, psd=%s)", fs, size, psd)
+    if not psd:
+        logging.debug("Vanishing power spectral density, bypassing noise generation")
+        return 0
+    red_noise = red(fs, size, psd)
+    return numpy.cumsum(red_noise) * (2 * pi / fs)
diff --git a/tests/notebook_noises.ipynb b/tests/notebook_noises.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..cdf4731f49f7e029ebba234db9752e2c4327d081
--- /dev/null
+++ b/tests/notebook_noises.ipynb
@@ -0,0 +1,426 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Test noise"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 150,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import lisainstrument\n",
+    "import scipy.signal\n",
+    "import numpy\n",
+    "import matplotlib.pyplot\n",
+    "import pyplnoise"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 151,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "fs = 20\n",
+    "level = 10\n",
+    "size = 1000000\n",
+    "psdav = 100"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## White noise"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 154,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x13947bd90>]"
+      ]
+     },
+     "execution_count": 154,
+     "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": [
+    "t = numpy.arange(size) / fs\n",
+    "white = lisainstrument.white(fs, size, level)\n",
+    "matplotlib.pyplot.plot(t, white)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 156,
+   "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": [
+    "f, psd = scipy.signal.welch(white, fs, nperseg=size/psdav)\n",
+    "matplotlib.pyplot.loglog(f, psd)\n",
+    "matplotlib.pyplot.loglog(f, [level]*len(f), '--')\n",
+    "matplotlib.pyplot.grid()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Violet noise ($f^2$)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 157,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x138ef2670>]"
+      ]
+     },
+     "execution_count": 157,
+     "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": [
+    "t = numpy.arange(size) / fs\n",
+    "violet = lisainstrument.violet(fs, size, level)\n",
+    "matplotlib.pyplot.plot(t, violet)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 159,
+   "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": [
+    "f, psd = scipy.signal.welch(violet, fs, nperseg=size/psdav, detrend='linear')\n",
+    "matplotlib.pyplot.loglog(f, psd)\n",
+    "matplotlib.pyplot.loglog(f, level * f**2, '--')\n",
+    "matplotlib.pyplot.grid()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Pink noise ($f^{-1}$)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 160,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x13b7e5be0>]"
+      ]
+     },
+     "execution_count": 160,
+     "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": [
+    "t = numpy.arange(size) / fs\n",
+    "pink = lisainstrument.pink(fs, size, level)\n",
+    "matplotlib.pyplot.plot(t, pink)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 161,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-161-08f5a2ed21c5>:3: RuntimeWarning: divide by zero encountered in true_divide\n",
+      "  matplotlib.pyplot.loglog(f, level / f, '--')\n"
+     ]
+    },
+    {
+     "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": [
+    "f, psd = scipy.signal.welch(pink, fs, nperseg=size/psdav)\n",
+    "matplotlib.pyplot.loglog(f, psd)\n",
+    "matplotlib.pyplot.loglog(f, level / f, '--')\n",
+    "matplotlib.pyplot.grid()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Red noise ($f^{-2}$)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 162,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x13b88b4f0>]"
+      ]
+     },
+     "execution_count": 162,
+     "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": [
+    "t = numpy.arange(size) / fs\n",
+    "red = lisainstrument.red(fs, size, level)\n",
+    "matplotlib.pyplot.plot(t, red)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 163,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-163-32ee5086df59>:3: RuntimeWarning: divide by zero encountered in true_divide\n",
+      "  matplotlib.pyplot.loglog(f, level / f**2, '--')\n"
+     ]
+    },
+    {
+     "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": [
+    "f, psd = scipy.signal.welch(red, fs, nperseg=size/psdav)\n",
+    "matplotlib.pyplot.loglog(f, psd)\n",
+    "matplotlib.pyplot.loglog(f, level / f**2, '--')\n",
+    "matplotlib.pyplot.grid()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Infrared ($f^{-4}$)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 164,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x1392d54f0>]"
+      ]
+     },
+     "execution_count": 164,
+     "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": [
+    "t = numpy.arange(size) / fs\n",
+    "infrared = lisainstrument.infrared(fs, size, level)\n",
+    "matplotlib.pyplot.plot(t, infrared)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 165,
+   "metadata": {
+    "scrolled": false
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-165-fc40057f58ad>:3: RuntimeWarning: divide by zero encountered in true_divide\n",
+      "  matplotlib.pyplot.loglog(f, level / f**4, '--')\n"
+     ]
+    },
+    {
+     "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": [
+    "f, psd = scipy.signal.welch(infrared, fs, nperseg=size/psdav, detrend='linear')\n",
+    "matplotlib.pyplot.loglog(f, psd)\n",
+    "matplotlib.pyplot.loglog(f, level / f**4, '--')\n",
+    "matplotlib.pyplot.grid()"
+   ]
+  },
+  {
+   "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": "3.8.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}