function test_ltpda_arma_time()
% A test script for the ltpda_arma_time function
% 
% miquel 20-02-08
% 
% $Id: test_ltpda_arma_time.m,v 1.1 2008/03/04 12:55:05 miquel Exp $
% 

%% Make test AOs

fs=1;
nsecs=10000;

pl = plist();
pl = append(pl, param('nsecs',nsecs));
pl = append(pl, param('fs',fs));
pl = append(pl,param('tsfcn','(heaviside(t-1000.5)).*(1-(exp(-(t-1000.5)/300))+(exp(-(t-1000.5)/500)-1))'));

ain = ao(pl);

% Filter input time-series
pl = append(pl, param('type', 'highpass'));
pl = append(pl, param('ripple', 5e-1));
pl = append(pl, param('order', 1));
pl = append(pl, param('gain', 1e-1));
pl = append(pl, param('fc', 1e-3));

f = miir(pl);
[aout, fout] = filter(ain,plist(param('filter',f)));

% Add independent noise to both channels
pn1 = plist('waveform', 'noise','type','Uniform','fs', fs, 'nsecs', nsecs);
an1 = ao(pn1);

ain = ain + 1e-3*an1;

pn2 = plist('waveform', 'noise','type','Uniform','fs', fs, 'nsecs', nsecs);
an2 = ao(pn2);

aout = aout + 1e-3*an2;


%% Find ARMA parameters for the transfer function

% Parameter list for ltpda_arma_time
pl = append(pl, param('MaxIter',1e3));
pl = append(pl, param('MaxFunEvals',1e3));
pl = append(pl, param('TolX',1e-7));
pl = append(pl, param('TolFun',1e-7));
pl = append(pl, param('ARMANum',2));
pl = append(pl, param('ARMADen',1));

% Use ltpda_arma_time
ao_arma = ltpda_arma_time(ain, aout, pl);
%  
disp(sprintf('\r! Filter parameters:\r')) 
disp(sprintf('%d\t', fout.a,fout.b(2:length(fout.b))))
disp(sprintf('\r! Estimated parameters:\r')) 
disp(sprintf('%d\t',ao_arma.data.y(1:length(ao_arma.data.y)-1)))


%  Compute fitted output
p = find(pl, 'ARMANum'); 
q = find(pl, 'ARMADen'); 

f = miir([ao_arma.data.y(1:p)],[1 ao_arma.data.y(p+1:p+q)],find(pl,'fs'));
[afit, ffit] = filter(ain,plist(param('filter',f)));

%  Plot
iplot(ain,aout,afit,plist('Legends', {'Input','Output','Fit'}))

% %% Plot history 
% figure
% plot(ao_arma.hist)
% 
% %% Reproduce from history
% 
% % Write an m-file from AO
% ao2m(ao_arma, 'ltpda_test.m');
% 
% % now run it
% clear all;
% a_out = ltpda_test;
% 
% % iplot(a_out)
% 
% figure
% plot(a_out.hist)

%% Delete test files
% delete('ltpda_test.m');