{ "cells": [ { "cell_type": "markdown", "id": "217bb8d3", "metadata": {}, "source": [ "# Visualising the WDM wavelets" ] }, { "cell_type": "code", "execution_count": 1, "id": "42ca597b", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import gridspec\n", "import matplotlib.patches as patches\n", "\n", "import WDM" ] }, { "cell_type": "markdown", "id": "bdd7d43c", "metadata": {}, "source": [ "Here is a plot of the normalised incomplete beta function $\\nu_d(x)$ for several example values of $d$." ] }, { "cell_type": "code", "execution_count": 2, "id": "2d95d5c8", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "fig.suptitle(\"Regularised Incomplete Beta Function\")\n", "\n", "d_values = [1, 4, 16]\n", "\n", "x = np.linspace(0, 1, 1000)\n", "for d in d_values:\n", " ax.plot(x, WDM.code.utils.Meyer.nu_d(x, d), label=f\"{d = }\")\n", "\n", "ax.set_xlabel(r\"$x$\")\n", "ax.set_ylabel(r\"$\\nu_d(x)$\")\n", "\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 1)\n", "\n", "ax.legend(loc='upper left')\n", "plt.grid()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "422cf91b", "metadata": {}, "source": [ "Here is a plot of the Meyer window function in both time and frequency-domains.\n", "Note that the wavelet is well localised (compact support) in frequency but less so in time." ] }, { "cell_type": "code", "execution_count": 3, "id": "f04075c3", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T = 500.\n", "times = np.linspace(-T, T, 10000)\n", "dt = np.mean(np.diff(times))\n", "\n", "A, B = 0.25, 0.5\n", "dOmega = 2 * A + B\n", "dF = dOmega / (2*np.pi)\n", "dT = 1 / (2*dF)\n", "\n", "freqs = np.fft.fftfreq(len(times), d=dt)\n", "\n", "ls = ['-', '--', '-.']\n", "col = ['C0', 'C1', 'C2']\n", "\n", "fig, axes = plt.subplots(nrows=2)\n", "fig.suptitle(\"Meyer Window Function\")\n", "\n", "d_values = [1, 4, 16]\n", "\n", "for i, d in enumerate(d_values):\n", " Phi = WDM.code.utils.Meyer.Meyer(2*np.pi*freqs, d=d, A=A, B=B) \n", " Phi_centered = Phi * np.exp(-2j*np.pi*freqs*T)\n", " phi = np.fft.ifft(Phi_centered).real / dt\n", " \n", " omega = 2 * np.pi * np.fft.fftshift(freqs)\n", " axes[0].plot(omega/dOmega, np.fft.fftshift(Phi), ls=ls[i], c=col[i])\n", " axes[1].plot(times/dT, phi, label=f\"{d = }\", ls=ls[i], c=col[i])\n", "\n", "axes[0].set_xlabel(r\"$\\omega/\\Delta\\Omega$\")\n", "axes[0].set_ylabel(r\"$\\tilde{M}(\\omega)$\")\n", "\n", "axes[0].set_xlim(-1., 1.)\n", "axes[0].set_ylim(0., 1.05)\n", "\n", "axes[1].set_xlabel(r\"$t/\\Delta T$\")\n", "axes[1].set_ylabel(r\"$m(t)$\")\n", "\n", "axes[1].set_xlim(-16, 16)\n", "axes[1].set_ylim(-0.05, 0.2)\n", "\n", "axes[0].grid()\n", "axes[1].grid()\n", "\n", "axes[1].legend(loc='upper left')\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "31ab049a", "metadata": {}, "source": [ "The wavelet basis is defined in in the frequency domain in terms of the Meyer wavelet, $\\tilde{G}_{nm}(\\omega)$." ] }, { "cell_type": "code", "execution_count": 4, "id": "0fb8975e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wdm = WDM.code.discrete_wavelet_transform.WDM.WDM_transform(dt=1.0, Nf=16, N=512)\n", "\n", "fig, ax = plt.subplots()\n", "fig.suptitle(\"WDM Wavelet basis\")\n", "\n", "mask = (wdm.freqs>=0.)\n", "for m in range(17):\n", " if m==16:\n", " ax.plot(wdm.freqs[mask]/wdm.f_Ny, np.abs(wdm.Gnm(n=wdm.Nt-1, m=0)[mask])) \n", " else:\n", " ax.plot(wdm.freqs[mask]/wdm.f_Ny, np.abs(wdm.Gnm(n=0, m=m)[mask]))\n", "\n", "ax.set_xlabel(r\"Frequency $f/f_{\\rm Ny}$\")\n", "ax.set_ylabel(r\"Amplitude $|\\tilde{G}_{nm}(f)|$\")\n", "\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 6)\n", "\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "94d19cba", "metadata": {}, "source": [ "The wavelet basis in the time domain, $g_{nm}(t)$." ] }, { "cell_type": "code", "execution_count": 5, "id": "705a98eb", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "fig.suptitle(\"WDM Wavelet basis\")\n", "\n", "ls = ['-', '--', '-.']\n", "col = ['C0', 'C1', 'C2']\n", "\n", "for i, (n, m) in enumerate(zip([8, 16, 24], [1, 2, 3])):\n", " ax.plot(wdm.times, wdm.gnm(n=n, m=m), \n", " label=f\"(n,m)=({n},{m})\", c=col[i], ls=ls[i])\n", "\n", "ax.set_xlabel(r\"Time $t$\")\n", "ax.set_ylabel(r\"Wavelet $g_{nm}(t)$\")\n", "\n", "ax.set_xlim(0, 512)\n", "ax.set_xticks([i*64 for i in range(9)])\n", "ax.set_ylim(-0.3, 0.4)\n", "\n", "ax.legend(loc='upper left', ncol=3)\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "51c0ecd5", "metadata": {}, "source": [ "Here is nice visualisation of the wavelet basis in both time and frequency domains." ] }, { "cell_type": "code", "execution_count": 6, "id": "8a63a329", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_vals = [8, 16, 24]\n", "m_vals = [1, 4, 7]\n", "\n", "ls = ['-', '--', '-.']\n", "col = ['C0', 'C1', 'C2', 'k']\n", "\n", "fig = plt.figure(figsize=(6, 6))\n", "gs = gridspec.GridSpec(2, 3, width_ratios=[3, 0.1, 1], height_ratios=[1, 3])\n", "\n", "# Time-domain wavelet (top-left)\n", "ax_time = fig.add_subplot(gs[0, 0])\n", "for i, (n, m) in enumerate(zip(n_vals, m_vals)):\n", " ax_time.plot(wdm.times, wdm.gnm(n, m), c=col[i], ls=ls[i])\n", "ax_time.set_xlim(0, wdm.T)\n", "ax_time.set_xticks([])\n", "ax_time.set_yticks([])\n", "ax_time.set_ylabel(r\"$g_{nm}(t)$\")\n", "\n", "# Frequency-domain wavelet (bottom-right)\n", "ax_freq = fig.add_subplot(gs[1, 2])\n", "mask = (wdm.freqs>=0.)\n", "for i, (n, m) in enumerate(zip(n_vals, m_vals)):\n", " ax_freq.plot(np.abs(wdm.Gnm(n,m))[mask], wdm.freqs[mask], \n", " c=col[i], ls=ls[i])\n", "ax_freq.set_ylim(0, wdm.f_Ny)\n", "ax_freq.set_xticks([])\n", "ax_freq.set_yticks([])\n", "ax_freq.yaxis.tick_right()\n", "ax_freq.yaxis.set_label_position(\"right\")\n", "ax_freq.xaxis.set_label_position('top')\n", "ax_freq.set_xlabel(r\"$|\\tilde{G}_{nm}(f)|$\")\n", "\n", "# Time-frequency grid (bottom-left)\n", "ax_tf = fig.add_subplot(gs[1, 0])\n", "t_ticks = [(i+0.5)*wdm.dT for i in range(wdm.Nt)]\n", "f_ticks = [(i+0.5)*wdm.dF for i in range(wdm.Nf)]\n", "for t in t_ticks:\n", " ax_tf.axvline(t, color='k', lw=0.5)\n", "for f in f_ticks:\n", " ax_tf.axhline(f, color='k', lw=0.5)\n", "ax_tf.set_xlim(0, wdm.T)\n", "ax_tf.set_ylim(0, wdm.f_Ny)\n", "ax_tf.set_xticks(np.linspace(0, wdm.T, 5))\n", "ax_tf.set_yticks(np.linspace(0, wdm.f_Ny, 5))\n", "ax_tf.set_xlabel(r\"Time $t$ [seconds]\")\n", "ax_tf.set_ylabel(r\"Frequency $f$ [Hertz]\")\n", "\n", "def draw_rectangle(n, m, i, ax_tf, text_label=False):\n", " eps_x, eps_y = 0., 0.\n", "\n", " assert 0 <= n < wdm.Nt, f\"n={n} is out of bounds for Nt={wdm.Nt}\"\n", " assert 0 <= m < wdm.Nf, f\"m={m} is out of bounds for Nf={wdm.Nf}\"\n", "\n", " if m>0:\n", " if n==0:\n", " t0, t1 = 0, t_ticks[0]\n", " f0, f1 = f_ticks[m-1], f_ticks[m]\n", " rect = patches.Rectangle((t0, f0), t1-t0, f1-f0, linewidth=1,\n", " edgecolor=col[i], facecolor=col[i], alpha=0.9)\n", " ax_tf.add_patch(rect)\n", " if text_label:\n", " ax_tf.text(t1+eps_x, f0+eps_y, r\"$(n,m)=(\"+str(n)+\",\"+str(m)+\")$\", \n", " fontsize=10, color=col[i], rotation=90)\n", " t0, t1 = t_ticks[-1], wdm.T\n", " rect = patches.Rectangle((t0, f0), t1-t0, f1-f0, linewidth=1,\n", " edgecolor=col[i], facecolor=col[i], alpha=0.9)\n", " ax_tf.add_patch(rect)\n", " else:\n", " t0, t1 = t_ticks[n-1], t_ticks[n]\n", " f0, f1 = f_ticks[m-1], f_ticks[m]\n", " rect = patches.Rectangle((t0, f0), t1-t0, f1-f0, linewidth=1,\n", " edgecolor=col[i], facecolor=col[i], alpha=0.9)\n", " ax_tf.add_patch(rect)\n", " if text_label:\n", " ax_tf.text(t1+eps_x, f0+eps_y, r\"$(n,m)=(\"+str(n)+\",\"+str(m)+\")$\", \n", " fontsize=10, color=col[i], rotation=90)\n", " else:\n", " if n==0:\n", " t0, t1 = 0, t_ticks[1]\n", " f0, f1 = 0., f_ticks[0]\n", " rect = patches.Rectangle((t0, f0), t1-t0, f1-f0, linewidth=1,\n", " edgecolor=col[i], facecolor=col[i], alpha=0.9)\n", " ax_tf.add_patch(rect)\n", " t0, t1 = t_ticks[-1], wdm.T\n", " rect = patches.Rectangle((t0, f0), t1-t0, f1-f0, linewidth=1,\n", " edgecolor=col[i], facecolor=col[i], alpha=0.9)\n", " ax_tf.add_patch(rect)\n", " elif n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 20\n", "m = 4\n", "\n", "fig = plt.figure(figsize=(6, 6))\n", "gs = gridspec.GridSpec(2, 3, width_ratios=[3, 0.1, 1], height_ratios=[1, 3])\n", "\n", "# Time-domain wavelet (top-left)\n", "ax_time = fig.add_subplot(gs[0, 0])\n", "ax_time.plot(wdm.times, wdm.gnm(n, m), 'k-')\n", "ax_time.set_xlim(0, wdm.T)\n", "ax_time.set_xticks([])\n", "ax_time.set_yticks([])\n", "ax_time.set_ylabel(r\"$g_{nm}(t)$\")\n", "\n", "# Frequency-domain wavelet (bottom-right)\n", "mask = wdm.freqs >= 0.\n", "ax_freq = fig.add_subplot(gs[1, 2])\n", "ax_freq.plot(np.abs(wdm.Gnm(n,m))[mask], \n", " wdm.freqs[mask], 'k-')\n", "ax_freq.set_ylim(0, wdm.f_Ny)\n", "ax_freq.set_xticks([])\n", "ax_freq.set_yticks([])\n", "ax_freq.yaxis.tick_right()\n", "ax_freq.yaxis.set_label_position(\"right\")\n", "ax_freq.xaxis.set_label_position('top')\n", "ax_freq.set_xlabel(r\"$|\\tilde{G}_{nm}(f)|$\")\n", "\n", "# Time-frequency grid (bottom-left)\n", "ax_tf = fig.add_subplot(gs[1, 0])\n", "t_ticks = [(i+0.5)*wdm.dT for i in range(wdm.Nt)]\n", "f_ticks = [(i+0.5)*wdm.dF for i in range(wdm.Nf)]\n", "for t in t_ticks:\n", " ax_tf.axvline(t, color='k', lw=0.5)\n", "for f in f_ticks:\n", " ax_tf.axhline(f, color='k', lw=0.5)\n", "ax_tf.set_xlim(0, wdm.T)\n", "ax_tf.set_ylim(0, wdm.f_Ny)\n", "ax_tf.set_xticks(np.linspace(0, wdm.T, 5))\n", "ax_tf.set_yticks(np.linspace(0, wdm.f_Ny, 5))\n", "ax_tf.set_xlabel(r\"Time $t$ [seconds]\")\n", "ax_tf.set_ylabel(r\"Frequency $f$ [Hertz]\")\n", " \n", "draw_rectangle(n, m, 3, ax_tf)\n", "\n", "# Remove middle unused column\n", "fig.delaxes(fig.add_subplot(gs[0, 1]))\n", "\n", "# Tighter layout\n", "plt.subplots_adjust(wspace=0.05, hspace=0.05, left=0.08, right=0.92, top=0.95, bottom=0.08)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "9dc3c333", "metadata": {}, "source": [ "This commented code block produces the animated .gif that can be seen in the docs section \"Mathematical Background\"." ] }, { "cell_type": "code", "execution_count": 8, "id": "0d7f3320", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'\\nfrom PIL import Image\\nimport io\\n\\ndef frame(n, m):\\n\\n fig = plt.figure(figsize=(6, 6))\\n gs = gridspec.GridSpec(2, 3, width_ratios=[3, 0.1, 1], height_ratios=[1, 3])\\n\\n # Time-domain wavelet (top-left)\\n ax_time = fig.add_subplot(gs[0, 0])\\n ax_time.plot(wdm.times, wdm.gnm(n, m), \\'k-\\')\\n ax_time.set_xlim(0, wdm.T)\\n ax_time.set_xticks([])\\n ax_time.set_yticks([])\\n ax_time.set_ylabel(r\"$g_{nm}(t)$\")\\n\\n # Frequency-domain wavelet (bottom-right)\\n mask = wdm.freqs >= 0.\\n ax_freq = fig.add_subplot(gs[1, 2])\\n ax_freq.plot(np.abs(wdm.Gnm(n, m))[mask], \\n wdm.freqs[mask], \\'k-\\')\\n ax_freq.set_ylim(0, wdm.f_Ny)\\n ax_freq.set_xticks([])\\n ax_freq.set_yticks([])\\n ax_freq.yaxis.tick_right()\\n ax_freq.yaxis.set_label_position(\"right\")\\n ax_freq.xaxis.set_label_position(\\'top\\')\\n ax_freq.set_xlabel(r\"$|\\tilde{G}_{nm}(f)|$\")\\n\\n # Time-frequency grid (bottom-left)\\n ax_tf = fig.add_subplot(gs[1, 0])\\n t_ticks = [(i+0.5)*wdm.dT for i in range(wdm.Nt)]\\n f_ticks = [(i+0.5)*wdm.dF for i in range(wdm.Nf)]\\n for t in t_ticks:\\n ax_tf.axvline(t, color=\\'k\\', lw=0.5)\\n for f in f_ticks:\\n ax_tf.axhline(f, color=\\'k\\', lw=0.5)\\n ax_tf.set_xlim(0, wdm.T)\\n ax_tf.set_ylim(0, wdm.f_Ny)\\n ax_tf.set_xticks(np.linspace(0, wdm.T, 5))\\n ax_tf.set_yticks(np.linspace(0, wdm.f_Ny, 5))\\n ax_tf.set_xlabel(r\"Time $t$ [seconds]\")\\n ax_tf.set_ylabel(r\"Frequency $f$ [Hertz]\")\\n\\n draw_rectangle(n, m, 3, ax_tf)\\n\\n # Remove middle unused column\\n fig.delaxes(fig.add_subplot(gs[0, 1]))\\n\\n ax_label = fig.add_subplot(gs[0, 2])\\n ax_label.axis(\"off\") # Turn off axes\\n\\n # Add your text — adjust ha/va for alignment, and fontsize as desired\\n ax_label.text(1.0, 1.0, f\"n={n}, m={m}\", \\n ha=\\'right\\', va=\\'top\\', transform=ax_label.transAxes,\\n fontsize=12, fontweight=\\'bold\\')\\n\\n # Tighter layout\\n plt.subplots_adjust(wspace=0.05, hspace=0.05, left=0.08, right=0.92, top=0.95, bottom=0.08)\\n\\n buf = io.BytesIO()\\n fig.savefig(buf, format=\\'png\\')\\n plt.close(fig) # Close to avoid memory issues\\n buf.seek(0)\\n\\n frame = Image.open(buf).convert(\\'RGB\\')\\n\\n return frame\\n\\n# List to store frames\\nframes = []\\nfor n in range(wdm.Nt):\\n for m in range(wdm.Nf):\\n frames.append(frame(n, m))\\n\\n# Save as animated GIF\\nframes[0].save(\\n \\'wavelet_animation.gif\\',\\n save_all=True,\\n append_images=frames[1:],\\n duration=200, # duration per frame in ms\\n loop=0 # 0 = loop forever\\n)\\n'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", "from PIL import Image\n", "import io\n", "\n", "def frame(n, m):\n", "\n", " fig = plt.figure(figsize=(6, 6))\n", " gs = gridspec.GridSpec(2, 3, width_ratios=[3, 0.1, 1], height_ratios=[1, 3])\n", "\n", " # Time-domain wavelet (top-left)\n", " ax_time = fig.add_subplot(gs[0, 0])\n", " ax_time.plot(wdm.times, wdm.gnm(n, m), 'k-')\n", " ax_time.set_xlim(0, wdm.T)\n", " ax_time.set_xticks([])\n", " ax_time.set_yticks([])\n", " ax_time.set_ylabel(r\"$g_{nm}(t)$\")\n", "\n", " # Frequency-domain wavelet (bottom-right)\n", " mask = wdm.freqs >= 0.\n", " ax_freq = fig.add_subplot(gs[1, 2])\n", " ax_freq.plot(np.abs(wdm.Gnm(n, m))[mask], \n", " wdm.freqs[mask], 'k-')\n", " ax_freq.set_ylim(0, wdm.f_Ny)\n", " ax_freq.set_xticks([])\n", " ax_freq.set_yticks([])\n", " ax_freq.yaxis.tick_right()\n", " ax_freq.yaxis.set_label_position(\"right\")\n", " ax_freq.xaxis.set_label_position('top')\n", " ax_freq.set_xlabel(r\"$|\\tilde{G}_{nm}(f)|$\")\n", "\n", " # Time-frequency grid (bottom-left)\n", " ax_tf = fig.add_subplot(gs[1, 0])\n", " t_ticks = [(i+0.5)*wdm.dT for i in range(wdm.Nt)]\n", " f_ticks = [(i+0.5)*wdm.dF for i in range(wdm.Nf)]\n", " for t in t_ticks:\n", " ax_tf.axvline(t, color='k', lw=0.5)\n", " for f in f_ticks:\n", " ax_tf.axhline(f, color='k', lw=0.5)\n", " ax_tf.set_xlim(0, wdm.T)\n", " ax_tf.set_ylim(0, wdm.f_Ny)\n", " ax_tf.set_xticks(np.linspace(0, wdm.T, 5))\n", " ax_tf.set_yticks(np.linspace(0, wdm.f_Ny, 5))\n", " ax_tf.set_xlabel(r\"Time $t$ [seconds]\")\n", " ax_tf.set_ylabel(r\"Frequency $f$ [Hertz]\")\n", "\n", " draw_rectangle(n, m, 3, ax_tf)\n", "\n", " # Remove middle unused column\n", " fig.delaxes(fig.add_subplot(gs[0, 1]))\n", "\n", " ax_label = fig.add_subplot(gs[0, 2])\n", " ax_label.axis(\"off\") # Turn off axes\n", "\n", " # Add your text — adjust ha/va for alignment, and fontsize as desired\n", " ax_label.text(1.0, 1.0, f\"n={n}, m={m}\", \n", " ha='right', va='top', transform=ax_label.transAxes,\n", " fontsize=12, fontweight='bold')\n", "\n", " # Tighter layout\n", " plt.subplots_adjust(wspace=0.05, hspace=0.05, left=0.08, right=0.92, top=0.95, bottom=0.08)\n", " \n", " buf = io.BytesIO()\n", " fig.savefig(buf, format='png')\n", " plt.close(fig) # Close to avoid memory issues\n", " buf.seek(0)\n", "\n", " frame = Image.open(buf).convert('RGB')\n", "\n", " return frame\n", "\n", "# List to store frames\n", "frames = []\n", "for n in range(wdm.Nt):\n", " for m in range(wdm.Nf):\n", " frames.append(frame(n, m))\n", "\n", "# Save as animated GIF\n", "frames[0].save(\n", " 'wavelet_animation.gif',\n", " save_all=True,\n", " append_images=frames[1:],\n", " duration=200, # duration per frame in ms\n", " loop=0 # 0 = loop forever\n", ")\n", "\"\"\"" ] }, { "cell_type": "code", "execution_count": null, "id": "701da592", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "WDM", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }