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function [f,decay,Q,amp,phase,err]=harminv( timeseries, timestep, start_freq, stop_freq )
% [f,decay,Q,amp,phase,err]=harminv( timeseries, timestep, start_freq, stop_freq )
%
% reconstruct time signal with:
% real(amp(n) * exp(-1i*(2*pi*freq(n)*t-phase(n))-decay(n)*t)));
%
% example:
% t = linspace(0,(1/0.3e9)*5,1000);
% u = 0.8 * sin(2*pi*0.7e9 * t + 0/180*pi);
% u = u + 0.3 * sin(2*pi*0.3e9 * t + 0/180*pi);
% [freq,decay,Q,amp,phase,err]=harminv( u, t(2)-t(1), 0, 1e9 );
%
% -----------------------
% Sebastian Held <sebastian.held@gmx.de>
if isunix
harminv_exe = 'export LD_LIBRARY_PATH=; harminv';
elseif ispc
m_filename = mfilename('fullpath');
dir = fileparts( m_filename );
harminv_exe = [ '"' dir '\..\harminv.exe"'];
else
error('openEMS:harminv','unknown/unsupported operating system...');
end
options = ['-t ' num2str(timestep)];
tmpfile = tempname;
% convert to column vector
if size(timeseries,2) > size(timeseries,1)
timeseries = timeseries.';
end
% harminv hangs if timeseries is zero only
if all(timeseries == 0)
disp( 'timeseries is 0' );
return
end
% write timeseries to temporary file
dlmwrite( tmpfile, timeseries );
command = [harminv_exe ' ' options ' '...
num2str(start_freq) '-' num2str(stop_freq) ' < "' tmpfile '"'];
[status,result] = system( command );
if status ~= 0
disp( 'error executing harminv:' );
disp( command );
disp( ['exit status: ' num2str(status)] );
disp( ['output: ' result] );
return
end
%disp( command )
%disp( result )
f = [];
decay = [];
Q = [];
amp = [];
phase = [];
err = [];
lines = textscan( result, '%s', 'Delimiter', '\n');
for n=2:numel(lines{1})
[C] = textscan( lines{1}{n}, '%f', 6, 'Delimiter', ',');
if isempty(C{1}), break; end
if C{1}(1) >= 0
f = [f C{1}(1)];
decay = [decay C{1}(2)];
Q = [Q C{1}(3)];
amp = [amp 2*C{1}(4)]; % neglecting negative frequencies => amplitude doubles
phase = [phase C{1}(5)];
err = [err C{1}(6)];
end
end
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