/*
* Copyright (c) 2015-2024 Sergey Bakhurin
* Digital Signal Processing Library [http://dsplib.org]
*
* This file is part of DSPL.
* 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.
* DSPL 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 Foobar. If not, see <http://www.gnu.org/licenses/>.
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "dspl.h"
#ifdef DOXYGEN_ENGLISH
/*! ****************************************************************************
\ingroup SPEC_MATH_STAT_GROUP
\brief Calculates the mean of the complex input vector `x`
Function calculates the mean value
\f[
m = \frac{1}{n}\sum_{i = 0}^{n-1} x(i)
\f]
\param[in] x
Pointer to the complex input vector `x`. \n
Vector size is `[n x 1]`. \n \n
\param[in] n
Size of input vector `x`. \n \n
\param[out] m
Pointer to the variable which keeps vector `x` mean value.\n
Memory must be allocated. \n \n
`RES_OK` if function calculates successfully,
else \ref ERROR_CODE_GROUP "code error".
Example:
\code{.cpp}
complex_t a[3] = {{0.0, -1.0}, {1.0, 2.0}, {3.0, 5.0}};
complex_t m;
mean_cmplx(a, 3, &m);
printf("\n\n Mean value: %8.1f%+3.1fj\n", RE(m), IM(m));
\endcode
As result the variable `m` will keep value `1 + 3j`.
\author Sergey Bakhurin www.dsplib.org
***************************************************************************** */
#endif
#ifdef DOXYGEN_RUSSIAN
\brief Выборочная оценка математического ожидания комплексного вектора `x`
Функция рассчитывает оценку математического ожидания
m = \frac{1}{n} \sum_{i = 0}^{n-1} x(i)
Указатель на комплексный вектор `x`. \n
Размер вектора `[n x 1]`. \n \n
Размер входного вектора `x`. \n \n
Указатель на адрес памяти, в который сохранить
рассчитанное значение математического ожидания вектора `x`. \n
Память должна быть выделена. \n \n
\return
`RES_OK` если функция выполнена успешно. \n
В противном случае \ref ERROR_CODE_GROUP "код ошибки".
Пример:
В результате в переменную `m` будет записано значение `1 + 3j`.
\author Бахурин Сергей. www.dsplib.org
int DSPL_API mean_cmplx(complex_t* x, int n, complex_t* m)
{
int k;
complex_t sum;
if(!x || !m)
return ERROR_PTR;
if(n<1)
return ERROR_SIZE;
RE(sum) = RE(x[0]);
IM(sum) = IM(x[0]);
for(k = 1; k < n; k++)
RE(sum) += RE(x[k]);
IM(sum) += IM(x[k]);
}
RE(sum) /= (double)n;
IM(sum) /= (double)n;
memcpy(m, sum, sizeof(complex_t));
return RES_OK;