{ "cells": [ { "cell_type": "raw", "id": "yaml_frontmatter", "metadata": { "papermill": { "duration": 0.004827, "end_time": "2026-05-29T22:41:58.168109+00:00", "exception": false, "start_time": "2026-05-29T22:41:58.163282+00:00", "status": "completed" }, "tags": [] }, "source": [ "---\n", "aliases:\n", "- /2026/05/healpy-1.20.0b1-beta-release\n", "categories:\n", "- python\n", "- astrophysics\n", "- healpy\n", "- healpix\n", "- cmb\n", "date: '2026-05-29'\n", "description: 'healpy 1.20.0b1 introduces harmonic_ud_grade for artifact-safe HEALPix map downgrading via spherical harmonics, with pixel-window and beam transfer corrections.'\n", "title: healpy 1.20.0b1 beta — harmonic_ud_grade for artifact-safe map downgrading\n", "---" ] }, { "cell_type": "markdown", "id": "b925fe19", "metadata": { "papermill": { "duration": 0.003558, "end_time": "2026-05-29T22:41:58.176263+00:00", "exception": false, "start_time": "2026-05-29T22:41:58.172705+00:00", "status": "completed" }, "tags": [] }, "source": [ "# healpy 1.20.0b1 beta — `harmonic_ud_grade` for artifact-safe map downgrading\n", "\n", "healpy 1.20.0b1 is now available as a beta release:\n", "\n", " pip install --pre healpy==1.20.0b1\n", "\n", "The headline feature is `harmonic_ud_grade`, a new function to change map NSIDE\n", "through spherical-harmonic transforms instead of pixel averaging. Compared to\n", "`ud_grade`, it suppresses aliasing artifacts by applying a bandlimit truncation\n", "with optional pixel-window and beam transfer corrections.\n", "\n", "The beam transfer framework follows Eq. 1 of [Planck 2015 X\n", "(arXiv:1502.01588)](https://arxiv.org/abs/1502.01588):\n", "\n", "$$a^{\\rm out}_{\\ell m} = \\frac{p^{\\rm out}_\\ell}{p^{\\rm in}_\\ell}\n", " \\frac{b^{\\rm out}_\\ell}{b^{\\rm in}_\\ell}\n", " a^{\\rm in}_{\\ell m}$$\n", "\n", "where $p_\\ell$ is the pixel window function and $b_\\ell$ the Gaussian beam\n", "transfer function.\n", "\n", "This notebook demonstrates the difference between `harmonic_ud_grade` with\n", "and without the effective resolution beam (`fwhm_out=0` vs `fwhm_out=None`)." ] }, { "cell_type": "code", "execution_count": 1, "id": "e0f2008d", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:41:58.183580Z", "iopub.status.busy": "2026-05-29T22:41:58.183206Z", "iopub.status.idle": "2026-05-29T22:41:59.352779Z", "shell.execute_reply": "2026-05-29T22:41:59.351365Z" }, "papermill": { "duration": 1.175613, "end_time": "2026-05-29T22:41:59.354461+00:00", "exception": false, "start_time": "2026-05-29T22:41:58.178848+00:00", "status": "completed" }, "tags": [ "setup" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "healpy 1.19.1.dev34+gb6c6692e5.d20260529\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_3108949/3900260292.py:5: HealpyDeprecationWarning: The disable_warnings function is deprecated and may be removed in a future version.\n", " hp.disable_warnings()\n" ] } ], "source": [ "import numpy as np\n", "import healpy as hp\n", "import matplotlib.pyplot as plt\n", "\n", "hp.disable_warnings()\n", "print(f\"healpy {hp.__version__}\")" ] }, { "cell_type": "markdown", "id": "68a4a4b1", "metadata": { "papermill": { "duration": 0.002814, "end_time": "2026-05-29T22:41:59.360556+00:00", "exception": false, "start_time": "2026-05-29T22:41:59.357742+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Generate a dust-like map\n", "\n", "We create a synthetic dust-like map with a steep power spectrum ($C_\\ell \\propto\n", "\\ell^{-2.5}$) at NSIDE 512, then downgrade to NSIDE 64." ] }, { "cell_type": "code", "execution_count": 2, "id": "dd205917", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:41:59.368749Z", "iopub.status.busy": "2026-05-29T22:41:59.368223Z", "iopub.status.idle": "2026-05-29T22:42:00.003250Z", "shell.execute_reply": "2026-05-29T22:42:00.001767Z" }, "papermill": { "duration": 0.641946, "end_time": "2026-05-29T22:42:00.005482+00:00", "exception": false, "start_time": "2026-05-29T22:41:59.363536+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_3108949/1973081975.py:13: HealpyDeprecationWarning: \"verbose\" was deprecated in version 1.15.0 and will be removed in a future version. \n", " m = hp.synfast(cl_dust, nside_in, lmax=lmax_in, verbose=False)\n" ] } ], "source": [ "nside_in = 512\n", "nside_out = 64\n", "lmax_in = 3 * nside_in - 1\n", "\n", "# Dust-like power spectrum\n", "ell = np.arange(lmax_in + 1)\n", "cl_dust = np.zeros(lmax_in + 1)\n", "cl_dust[2:] = (ell[2:] / 80.0) ** (-2.5)\n", "cl_dust[0] = 0\n", "cl_dust[1] = 0\n", "\n", "np.random.seed(42)\n", "m = hp.synfast(cl_dust, nside_in, lmax=lmax_in, verbose=False)" ] }, { "cell_type": "markdown", "id": "53ed7e6c", "metadata": { "papermill": { "duration": 0.004229, "end_time": "2026-05-29T22:42:00.014761+00:00", "exception": false, "start_time": "2026-05-29T22:42:00.010532+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Downgrade with three methods" ] }, { "cell_type": "code", "execution_count": 3, "id": "8f0f5f0a", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:42:00.022617Z", "iopub.status.busy": "2026-05-29T22:42:00.022100Z", "iopub.status.idle": "2026-05-29T22:42:00.881692Z", "shell.execute_reply": "2026-05-29T22:42:00.880430Z" }, "papermill": { "duration": 0.86518, "end_time": "2026-05-29T22:42:00.882910+00:00", "exception": false, "start_time": "2026-05-29T22:42:00.017730+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "# 1. Pixel-space ud_grade\n", "m_pixel = hp.ud_grade(m, nside_out)\n", "\n", "# 2. harmonic_ud_grade with fwhm_out=0 (default): plain bandlimit truncation\n", "m_harm_beam0 = hp.harmonic_ud_grade(m, nside_out, fwhm_out=0)\n", "\n", "# 3. harmonic_ud_grade with fwhm_out=None: effective resolution beam\n", "m_harm_beam_auto = hp.harmonic_ud_grade(m, nside_out, fwhm_out=None)" ] }, { "cell_type": "markdown", "id": "82d99adf", "metadata": { "papermill": { "duration": 0.002821, "end_time": "2026-05-29T22:42:00.889067+00:00", "exception": false, "start_time": "2026-05-29T22:42:00.886246+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Mollweide comparison\n", "\n", "The pixel-space `ud_grade` map shows visible aliasing artifacts. The harmonic\n", "methods are cleaner. The effective beam option (`fwhm_out=None`) provides the\n", "smoothest result, suppressing Gibbs ringing from the sharp bandlimit cutoff." ] }, { "cell_type": "code", "execution_count": 4, "id": "ec9e76f7", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:42:00.897198Z", "iopub.status.busy": "2026-05-29T22:42:00.896866Z", "iopub.status.idle": "2026-05-29T22:42:02.213001Z", "shell.execute_reply": "2026-05-29T22:42:02.211662Z" }, "papermill": { "duration": 1.323145, "end_time": "2026-05-29T22:42:02.215360+00:00", "exception": false, "start_time": "2026-05-29T22:42:00.892215+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_3108949/3632554495.py:17: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", " plt.tight_layout()\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vmin = min(m_pixel.min(), m_harm_beam0.min(), m_harm_beam_auto.min())\n", "vmax = max(m_pixel.max(), m_harm_beam0.max(), m_harm_beam_auto.max())\n", "# Round to readable values\n", "vmin = np.floor(vmin)\n", "vmax = np.ceil(vmax)\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(18, 4))\n", "\n", "for ax, (title, map_data) in zip(axes, [\n", " (\"ud_grade (pixel averaging)\", m_pixel),\n", " (\"harmonic_ud_grade\\nfwhm_out=0 (bandlimit only)\", m_harm_beam0),\n", " (\"harmonic_ud_grade\\nfwhm_out=None (effective beam)\", m_harm_beam_auto),\n", "]):\n", " hp.mollview(map_data, title=title, min=vmin, max=vmax,\n", " cmap=\"RdYlBu_r\", hold=True, sub=(1, 3, axes.tolist().index(ax) + 1))\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "39165a74", "metadata": { "papermill": { "duration": 0.004256, "end_time": "2026-05-29T22:42:02.227091+00:00", "exception": false, "start_time": "2026-05-29T22:42:02.222835+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Power spectrum comparison\n", "\n", "The power spectra reveal the key differences:\n", "- `ud_grade` leaks high-$\\ell$ power into low-$\\ell$ modes (aliasing)\n", "- `harmonic_ud_grade` with `fwhm_out=0` truncates cleanly but shows a sharp\n", " cutoff at the output bandlimit\n", "- `harmonic_ud_grade` with `fwhm_out=None` applies the effective resolution\n", " beam, providing a smooth rolloff consistent with the Planck convention" ] }, { "cell_type": "code", "execution_count": 5, "id": "0ff2f635", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:42:02.240482Z", "iopub.status.busy": "2026-05-29T22:42:02.240120Z", "iopub.status.idle": "2026-05-29T22:42:02.283657Z", "shell.execute_reply": "2026-05-29T22:42:02.282351Z" }, "papermill": { "duration": 0.051471, "end_time": "2026-05-29T22:42:02.284560+00:00", "exception": false, "start_time": "2026-05-29T22:42:02.233089+00:00", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "lmax_out = 3 * nside_out - 1\n", "\n", "cl_pixel = hp.anafast(m_pixel, lmax=lmax_out)\n", "cl_harm_beam0 = hp.anafast(m_harm_beam0, lmax=lmax_out)\n", "cl_harm_beam_auto = hp.anafast(m_harm_beam_auto, lmax=lmax_out)\n", "\n", "# Input spectrum at output ell range\n", "cl_input = cl_dust[:lmax_out + 1]" ] }, { "cell_type": "code", "execution_count": 6, "id": "f0898529", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:42:02.295381Z", "iopub.status.busy": "2026-05-29T22:42:02.295016Z", "iopub.status.idle": "2026-05-29T22:42:03.148023Z", "shell.execute_reply": "2026-05-29T22:42:03.146607Z" }, "papermill": { "duration": 0.860105, "end_time": "2026-05-29T22:42:03.149310+00:00", "exception": false, "start_time": "2026-05-29T22:42:02.289205+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ell_out = np.arange(lmax_out + 1)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "ax.loglog(ell_out[1:], cl_input[1:], \"k-\", lw=2, label=\"Input $C_\\\\ell$\")\n", "ax.loglog(ell_out[1:], cl_pixel[1:], \"C0--\", lw=1.5, label=\"ud_grade\")\n", "ax.loglog(ell_out[1:], cl_harm_beam0[1:], \"C1-\", lw=1.5, label=\"harmonic, fwhm_out=0\")\n", "ax.loglog(ell_out[1:], cl_harm_beam_auto[1:], \"C2-\", lw=1.5, label=\"harmonic, fwhm_out=None\")\n", "\n", "ax.axvline(2 * nside_out, color=\"gray\", ls=\":\", alpha=0.7, label=f\"$\\\\ell = 2 \\\\times N_{{\\\\rm side}}^{{\\\\rm out}} = {2*nside_out}$\")\n", "ax.set_xlabel(\"$\\\\ell$\", fontsize=12)\n", "ax.set_ylabel(\"$C_\\\\ell$\", fontsize=12)\n", "ax.set_title(f\"Power spectra: NSIDE {nside_in} → {nside_out}\", fontsize=13)\n", "ax.legend(fontsize=9)\n", "ax.set_xlim(1, lmax_out)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "aa472844", "metadata": { "papermill": { "duration": 0.005063, "end_time": "2026-05-29T22:42:03.161795+00:00", "exception": false, "start_time": "2026-05-29T22:42:03.156732+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Fractional difference from input\n", "\n", "To see the effect more clearly, we plot the fractional difference of each\n", "downgraded spectrum from the input." ] }, { "cell_type": "code", "execution_count": 7, "id": "ffd3d64c", "metadata": { "execution": { "iopub.execute_input": "2026-05-29T22:42:03.173609Z", "iopub.status.busy": "2026-05-29T22:42:03.173247Z", "iopub.status.idle": "2026-05-29T22:42:03.947794Z", "shell.execute_reply": "2026-05-29T22:42:03.946541Z" }, "papermill": { "duration": 0.782031, "end_time": "2026-05-29T22:42:03.948810+00:00", "exception": false, "start_time": "2026-05-29T22:42:03.166779+00:00", "status": "completed" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 5))\n", "\n", "ax.semilogy(ell_out[2:], np.abs(cl_pixel[2:] / cl_input[2:] - 1), \"C0--\", lw=1.5, label=\"ud_grade\")\n", "ax.semilogy(ell_out[2:], np.abs(cl_harm_beam0[2:] / cl_input[2:] - 1), \"C1-\", lw=1.5, label=\"harmonic, fwhm_out=0\")\n", "ax.semilogy(ell_out[2:], np.abs(cl_harm_beam_auto[2:] / cl_input[2:] - 1), \"C2-\", lw=1.5, label=\"harmonic, fwhm_out=None\")\n", "\n", "ax.axvline(2 * nside_out, color=\"gray\", ls=\":\", alpha=0.7, label=f\"$\\\\ell = 2 \\\\times N_{{\\\\rm side}}^{{\\\\rm out}}$\")\n", "ax.set_xlabel(\"$\\\\ell$\", fontsize=12)\n", "ax.set_ylabel(\"$|C_\\\\ell^{\\\\rm out} / C_\\\\ell^{\\\\rm in} - 1|$\", fontsize=12)\n", "ax.set_title(f\"Fractional power-spectrum error: NSIDE {nside_in} → {nside_out}\", fontsize=13)\n", "ax.legend(fontsize=9)\n", "ax.set_xlim(2, lmax_out)\n", "ax.set_ylim(1e-4, 1e2)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "2e867020", "metadata": { "papermill": { "duration": 0.006138, "end_time": "2026-05-29T22:42:03.961818+00:00", "exception": false, "start_time": "2026-05-29T22:42:03.955680+00:00", "status": "completed" }, "tags": [] }, "source": [ "## Summary\n", "\n", "| Method | `fwhm_out` | Behavior |\n", "|--------|-----------|----------|\n", "| `ud_grade` | N/A | Pixel averaging; aliases high-$\\ell$ power |\n", "| `harmonic_ud_grade` | `0` (default) | Bandlimit truncation + pixel window correction |\n", "| `harmonic_ud_grade` | `None` | Adds effective resolution beam ($3 \\times \\theta_{\\rm pix}$), suppresses Gibbs ringing |\n", "\n", "For diffuse signals like Galactic dust where aliasing artifacts are most\n", "problematic, `harmonic_ud_grade` provides a significantly cleaner downgrade\n", "than `ud_grade`. The `fwhm_out=None` option applies a smooth beam rolloff\n", "following the Planck 2015 X convention, while `fwhm_out=0` gives the sharpest\n", "bandlimit.\n", "\n", "## Try it and give feedback\n", "\n", " pip install --pre healpy==1.20.0b1\n", "\n", "- API docs: \n", "- Comparison notebooks: \n", "- Report issues: " ] } ], "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": "3.13.6" }, "papermill": { "default_parameters": {}, "duration": 8.123673, "end_time": "2026-05-29T22:42:04.486469+00:00", "environment_variables": {}, "exception": null, "input_path": "posts/2026-05-29-healpy-1.20.0b1-beta-release.ipynb", "output_path": "/tmp/healpy-beta-executed.ipynb", "parameters": {}, "start_time": "2026-05-29T22:41:56.362796+00:00", "version": "2.7.0" } }, "nbformat": 4, "nbformat_minor": 5 }