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Norbert Marwan
CRP Toolbox for MATLAB
Commits
428ce439
Commit
428ce439
authored
16 years ago
by
marwan
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twinsurr.m
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428ce439
function
y
=
twinsurr
(
varargin
)
% TWINSURR Creates twin surrogates for statistical tests.
% Y=TWINSURR(X) creates twin surrogates Y based on the vector X
% using recurrences. The matrix Y contains 100 columns of
% 100 twin surrogates. If X is a PxQ matrix, the resulting
% surrogate matrix is Px100xQ.
%
% Y=TWINSURR(X,M,T,E,...) creates twin surrogates using
% embedding dimension M, delay T, recurrence threshold E. The
% input arguments are similar to those of the command CRP.
%
% Y=TWINSURR(X,M,T,E,...,N) creates N surrogates (default is 100).
%
% Example: x = rand(3,1);
% a = [.8 .3 -.25 .9]';
% for i = 4:1000,
% x(i) = sum(a(1:3) .* x(i-1:-1:i-3)) + a(end) * randn;
% end
% xs = twinsurr(x,1,1,.1,'euc',10);
%
% See also CRP, RECONS.
%
% References:
% Thiel, M., Romano, M. C., Kurths, J., Rolfs, M., Kliegl, R.:
% Twin Surrogates to Test for Complex Synchronisation,
% Europhys. Lett., 75, 2006.
% Copyright (c) 2008 by AMRON
% Norbert Marwan, Potsdam University, Germany
% http://www.agnld.uni-potsdam.de
%
% $Date$
% $Revision$
%
% $Log$
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% programme properties
global
errcode
props
init_properties
nsur_init
=
100
;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% check the input
error
(
nargchk
(
1
,
7
,
nargin
));
if
nargout
>
1
,
error
(
'Too many output arguments'
),
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% read the input
% transform any int to double
intclasses
=
{
'uint8'
;
'uint16'
;
'uint32'
;
'uint64'
;
'int8'
;
'int16'
;
'int32'
;
'int64'
};
flagClass
=
[];
for
i
=
1
:
length
(
intclasses
)
i_int
=
find
(
cellfun
(
'isclass'
,
varargin
,
intclasses
{
i
}));
if
~
isempty
(
i_int
)
for
j
=
1
:
length
(
i_int
)
varargin
{
i_int
(
j
)}
=
double
(
varargin
{
i_int
(
j
)});
end
flagClass
=
[
flagClass
;
i_int
(:)];
end
end
if
~
isempty
(
flagClass
)
disp
([
'Warning: Input arguments at position ['
,
num2str
(
flagClass
'),'
]
contain
integer
values
'
]);
disp
([
'(now converted to double).'
])
end
varargin
{
8
}
=
[];
i_double
=
find
(
cellfun
(
'isclass'
,
varargin
,
'double'
));
i_char
=
find
(
cellfun
(
'isclass'
,
varargin
,
'char'
));
check_meth
=
{
'ma'
,
'eu'
,
'mi'
,
'nr'
,
'rr'
,
'fa'
,
'in'
,
'om'
,
'op'
,
'di'
};
% maxnorm, euclidean, nrmnorm, fan, distance
check_norm
=
{
'non'
,
'nor'
};
% nonormalize, normalize
if
isnumeric
(
varargin
{
1
})
% read commandline input
% check the text input parameters for method, gui
temp_meth
=
0
;
temp_norm
=
0
;
if
~
isempty
(
i_char
)
for
i
=
1
:
length
(
i_char
),
varargin
{
i_char
(
i
)}(
4
)
=
'0'
;
temp_norm
=
temp_norm
+
strcmpi
(
varargin
{
i_char
(
i
)}(
1
:
3
),
check_norm
'
);
temp_meth
=
temp_meth
+
strcmpi
(
varargin
{
i_char
(
i
)}(
1
:
2
),
check_meth
'
);
end
method_n
=
min
(
find
(
temp_meth
));
nonorm
=
min
(
find
(
temp_norm
))
-
1
;
for
i
=
1
:
length
(
i_char
);
temp2
(
i
,:)
=
varargin
{
i_char
(
i
)}(
1
:
3
);
end
if
isempty
(
nonorm
),
nonorm
=
1
;
end
if
nonorm
>
1
,
nonorm
=
1
;
end
if
isempty
(
method_n
),
method_n
=
1
;
end
if
method_n
>
length
(
check_meth
),
method0
=
length
(
check_meth
);
end
method
=
check_meth
{
method_n
};
norm_str
=
check_norm
{
nonorm
+
1
};
else
method
=
'max'
;
norm_str
=
'non'
;
end
% get the parameters for creating RP
if
max
(
size
(
varargin
{
1
}))
<=
3
disp
(
'Error using ==> twinsurr'
)
disp
(
'To less values in data X.'
)
return
end
x
=
double
(
varargin
{
1
});
if
~
isempty
(
varargin
{
i_double
(
2
)}),
m
=
varargin
{
i_double
(
2
)}(
1
);
else
m
=
1
;
end
if
~
isempty
(
varargin
{
i_double
(
3
)}),
t
=
varargin
{
i_double
(
3
)}(
1
);
else
t
=
1
;
end
if
~
isempty
(
varargin
{
i_double
(
4
)}),
e
=
varargin
{
i_double
(
4
)}(
1
);
else
e
=.
1
;
end
if
~
isempty
(
varargin
{
i_double
(
5
)}),
nsur
=
varargin
{
i_double
(
5
)}(
1
);
else
nsur
=
nsur_init
;
end
else
disp
(
'Error using ==> twinsurr'
)
disp
(
'No valid arguments.'
)
return
end
N
=
length
(
x
);
if
size
(
x
,
1
)
<
size
(
x
,
2
),
x
=
x
'
;
end
m
=
size
(
x
,
2
);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% make surrogates
X
=
crp
(
x
,
m
,
t
,
e
,
method
,
norm_str
,
'sil'
);
NX
=
length
(
X
);
%% find twins
h
=
waitbar
(
0
,
'Searching Twins'
);
for
i
=
1
:
NX
,
waitbar
(
i
/
NX
)
A
=
repmat
(
X
(:,
i
),
1
,
NX
);
S
{
i
}
=
find
(
all
(
X
==
A
));
end
delete
(
h
)
for
k
=
1
:
nsur
%% chose randomly first point
i
=
ceil
(
NX
*
rand
);
xs
=
x
(
i
,:);
%% jump randomly between twins until length of surrogate is reached
while
length
(
xs
)
<
N
j
=
S
{
i
};
j_i
=
ceil
(
length
(
j
)
*
rand
);
i
=
j
(
j_i
);
i
=
i
+
1
;
if
i
>
NX
i
=
ceil
(
NX
*
rand
);
continue
end
xs
=
[
xs
;
x
(
i
,:)];
end
y
(:,
k
,
1
:
m
)
=
reshape
(
xs
(:),
N
,
1
,
m
);
end
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