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# irsa_actcore

## PURPOSE

% [@var{rfyp},@var{err}] = irsa_actcore (@var{xpn}, @var{yp},

## SYNOPSIS

function [rfyp, err] = irsa_actcore( xpn, yp, fmaxn, itmax, thresh )

## DESCRIPTION

```% -*- texinfo -*-
% @deftypefn {Function File} {irsa_actcore.m}
% [@var{rfyp},@var{err}] = irsa_actcore (@var{xpn}, @var{yp},
% @var{fmaxn}, [@var{itmax}], [@var{thresh}])
%
% Reconstruction of the frequency representation (i.e. the spectrum)
% of a band-limited signal from an irregular sampled timeseries using
%
% Input:
%
% @var{xpn}   : Vector -- sampling points in [0,(N-1)/N]
%
% @var{yp}    : Vector -- corresponding sampling values
%
% @var{fmaxn} : Scalar -- maximum (band-limiting) frequency. Due to the
% scaling of @var{xpn} it has to be a positive integer.
%
% @var{itmax} : Scalar -- maximum number of reconstruction iterations.
% Default is twice the number of the frequencies.
%
% @var{thresh}: Scalar -- threshold for conjugate gradients (stop
% criterion). Default is machine precision.
%
% Output:
%
% @var{rfyp}  : Columnvector -- reconstructed spectrum
%
% @var{err}   : Columnvector -- error for each iteration step
%
% @emph{Note:}
%
% The use of this function requires normalized sampling points
% @var{xpn} in @code{[0,(N-1)/N]} and the knowledge of
% @var{fmaxn}. Use the function @code{irsa_normalize} for this task.
%
% @end deftypefn```

## CROSS-REFERENCE INFORMATION

This function calls:
• irsa_dft % @var{fyp} = irsa_dft (@var{xp}, @var{yp}, @var{fxp}, [@var{lm}])
This function is called by:
• irsa_act % [@var{rxp},@var{ryp},@var{err}] = irsa_act (@var{xp}, @var{yp}, @var{fmax},

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