SpecKit is licensed under the BSD 3-Clause License in the LICENSE file,
Copyright (c) 2025, Miguel Dovale (University of Arizona) and Gerhard Heinzel
(Albert Einstein Institute).

This file lists material that carries another copyright, and material that
should not be read as third-party code.


Fractional delay adapted from PyTDI
------------------------------------

speckit/lagrange.py (lagrange_taps, timeshift) and tests/unit/test_lagrange.py
are adapted from PyTDI:

Staab, Martin; Bayle, Jean-Baptiste; Hartwig, Olaf.
https://doi.org/10.5281/zenodo.8429119

speckit.dsp re-exports lagrange_taps and timeshift. Those two names in
speckit/dsp.py are the functions defined in speckit/lagrange.py.

The following notice applies to that material:

BSD 3-Clause License

Copyright (c) 2022, California Institute of Technology and
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this
   list of conditions and the following disclaimer.

2. Redistributions in binary form must reproduce the above copyright notice,
   this list of conditions and the following disclaimer in the documentation
   and/or other materials provided with the distribution.

3. Neither the name of the copyright holder nor the names of its
   contributors may be used to endorse or promote products derived from
   this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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This software may be subject to U.S. export control laws. By accepting this
software, the user agrees to comply with all applicable U.S. export laws and
regulations. User has the responsibility to obtain export licenses, or other
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foreign countries or providing access to foreign persons.


Flat-top windows
-----------------

speckit/flattop.py is SpecKit code covered by the LICENSE file. The cosine
coefficients and the recommended overlaps are the values published by
Heinzel, Rüdiger, and Schilling, "Spectrum and spectral density estimation
by the Discrete Fourier transform (DFT), including a comprehensive list of
window functions and some new flat-top windows", Max-Planck-Institut für
Gravitationsphysik, 15 February 2002.
