/usr/include/itpp/signal/window.h is in libitpp-dev 4.3.1-7.
This file is owned by root:root, with mode 0o644.
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* \file
* \brief Definitions of window functions
* \author Tony Ottosson, Tobias Ringstrom, Pal Frenger, Adam Piatyszek
* and Kumar Appaiah
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ is free software: you can redistribute it and/or modify it under the
* terms of the GNU General Public License as published by the Free Software
* Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* IT++ is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#ifndef WINDOW_H
#define WINDOW_H
#include <itpp/base/vec.h>
#include <itpp/itexports.h>
namespace itpp
{
/*!
\addtogroup windfunc
*/
/*!\addtogroup windfunc
\brief Windowing functions
*/
//!@{
/*! \brief Hamming window
The \c n size Hamming window is a vector \f$w\f$ where the \f$i\f$th component is
\f[
w_i = 0.54 - 0.46 \cos(2\pi i/(n-1))
\f]
*/
ITPP_EXPORT vec hamming(int size);
/*! \brief Hanning window
The \c n size Hanning window is a vector \f$w\f$ where the \f$i\f$th component is
\f[
w_i = 0.5(1 - \cos(2\pi (i+1)/(n+1))
\f]
Observe that this function is not the same as the hann() function which is defined
as in matlab.
*/
ITPP_EXPORT vec hanning(int n);
/*! \brief Hanning window compatible with matlab
The \c n size Hanning window is a vector \f$w\f$ where the \f$i\f$th component is
\f[
w_i = 0.5(1 - \cos(2\pi i/(n-1))
\f]
*/
ITPP_EXPORT vec hann(int n);
/*! \brief Blackman window
The \c n size Blackman window is a vector \f$w\f$ where the \f$i\f$th component is
\f[
w_i = 0.42 - 0.5\cos(2\pi i/(n-1)) + 0.08\cos(4\pi i/(n-1))
\f]
*/
ITPP_EXPORT vec blackman(int n);
/*! \brief Triangular window
The \c n size triangle window is a vector \f$w\f$ where the \f$i\f$th component is
\f[
w_i = w_{n-i-1} = \frac{2(i+1)}{n+1}
\f]
for \c n odd and for \c n even
\f[
w_i = w_{n-i-1} = \frac{2i+1}{n}
\f]
*/
ITPP_EXPORT vec triang(int n);
/*! \brief Square root window
The square-root of the Triangle window.
sqrt_win(n) = sqrt(triang(n))
*/
ITPP_EXPORT vec sqrt_win(int n);
/*!
\brief Dolph-Chebyshev window
The length \c n Dolph-Chebyshev window is a vector \f$w\f$ whose \f$i\f$th
transform component is given by
\f[
W[k] = \frac{T_M\left(\beta \cos\left(\frac{\pi k}{M}\right)
\right)}{T_M(\beta)},k = 0, 1, 2, \ldots, M - 1
\f]
where \c T_n(x) is the order \c n Chebyshev polynomial of the first kind.
\param n length of the Doplh-Chebyshev window
\param at attenutation of side lobe (in dB)
\return symmetric length \c n Doplh-Chebyshev window
\author Kumar Appaiah and Adam Piatyszek (code review)
*/
ITPP_EXPORT vec chebwin(int n, double at);
//!@}
} //namespace itpp
#endif // #ifndef WINDOW_H
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