--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/testing/utp_1.1/utps/ao/utp_ao_cpsd.m	Tue Dec 06 18:42:11 2011 +0100
@@ -0,0 +1,1291 @@
+% UTP_AO_CPSD a set of UTPs for the ao/cpsd method
+%
+% M Hewitson 06-08-08
+%
+% $Id: utp_ao_cpsd.m,v 1.43 2011/07/22 11:51:46 mauro Exp $
+%
+
+% <MethodDescription>
+%
+% The cpsd method of the ao class computes the cross-spectral density between two
+% time-series AOs.
+%
+% </MethodDescription>
+
+function results = utp_ao_cpsd(varargin)
+  
+  % Check the inputs
+  if nargin == 0
+    
+    % Some keywords
+    class   = 'ao';
+    mthd    = 'cpsd';
+    
+    results = [];
+    disp('******************************************************');
+    disp(['****  Running UTPs for ' class '/' mthd]);
+    disp('******************************************************');
+    
+    % Test AOs
+    [at1,at2,at3,at4,at5,at6] = eval(['get_test_objects_' class]);
+    
+    % Exception list for the UTPs:
+    [ple1,ple2,ple3,ple4,ple5,ple6] = get_test_ples();
+    
+    % Get default window from the preferences
+    prefs = getappdata(0, 'LTPDApreferences');
+    defaultWinType = char(prefs.getMiscPrefs.getDefaultWindow);
+    
+    % Run the tests
+    results = [results utp_01];    % getInfo call
+    results = [results utp_02];    % Vector input          (only with two objects)
+    results = [results utp_03];    % Matrix input          (not possible)
+    results = [results utp_04];    % List input            (only with two objects)
+    results = [results utp_05];    % Test with mixed input (not possible)
+    results = [results utp_06];    % Test history is working
+    results = [results utp_07];    % Test the modify call works
+    results = [results utp_08];    % Test input data shape == output data shape
+    results = [results utp_09];    % Test output of the data
+    results = [results utp_10];    % Test against MATLAB's cpsd()
+    
+    results = [results utp_11(mthd, [at1 at1], ple1)];    % Test plotinfo doesn't disappear
+    
+    results = [results utp_17];    % Test units handling: CPSD
+    results = [results utp_18];    % Comparison with PSD
+    results = [results utp_24];    % Test data lengths
+    results = [results utp_25];    % Test Kaiser win and olap: CPSD
+    results = [results utp_51];    % Test number of averages: requested/obtained
+    results = [results utp_52];    % Test number of averages: correct number
+    results = [results utp_53];    % Test number of averages: syntax
+    
+    disp('Done.');
+    disp('******************************************************');
+    
+  elseif nargin == 1 % Check for UTP functions
+    if strcmp(varargin{1}, 'isutp')
+      results = 1;
+    else
+      results = 0;
+    end
+  else
+    error('### Incorrect inputs')
+  end
+  
+  %% UTP_01
+  
+  % <TestDescription>
+  %
+  % Tests that the getInfo call works for this method.
+  %
+  % </TestDescription>
+  function result = utp_01
+    
+    
+    % <SyntaxDescription>
+    %
+    % Test that the getInfo call works for no sets, all sets, and each set
+    % individually.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      % Call for no sets
+      io(1) = eval([class '.getInfo(''' mthd ''', ''None'')']);
+      % Call for all sets
+      io(2) = eval([class '.getInfo(''' mthd ''')']);
+      % Call for each set
+      for kk=1:numel(io(2).sets)
+        io(kk+2) = eval([class '.getInfo(''' mthd ''', ''' io(2).sets{kk} ''')']);
+      end
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that getInfo call returned an minfo object in all cases.
+    % 2) Check that all plists have the correct parameters.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % check we have minfo objects
+      if isa(io, 'minfo')
+        
+        % SET 'None'
+        if ~isempty(io(1).sets), atest = false; end
+        if ~isempty(io(1).plists), atest = false; end
+        % Check all Sets
+        if ~any(strcmpi(io(2).sets, 'Default')), atest = false; end
+        if numel(io(2).plists) ~= numel(io(2).sets), atest = false; end
+        % SET 'Default'
+        if io(3).plists.nparams ~= 8, atest = false; end
+        % Check key
+        if ~io(3).plists.isparam('nfft'), atest = false; end
+        if ~io(3).plists.isparam('win'), atest = false; end
+        if ~io(3).plists.isparam('olap'), atest = false; end
+        if ~io(3).plists.isparam('order'), atest = false; end
+        if ~io(3).plists.isparam('navs'), atest = false; end
+        if ~io(3).plists.isparam('times'), atest = false; end
+        if ~io(3).plists.isparam('split'), atest = false; end
+        if ~io(3).plists.isparam('psll'), atest = false; end
+        % Check default value
+        if ~isequal(io(3).plists.find('nfft'), -1), atest = false; end
+        if ~strcmpi(io(3).plists.find('win'), defaultWinType), atest = false; end
+        if ~isequal(io(3).plists.find('olap'), -1), atest = false; end
+        if ~isequal(io(3).plists.find('order'), 0), atest = false; end
+        if ~isequal(io(3).plists.find('navs'), -1), atest = false; end
+        if ~isEmptyDouble(io(3).plists.find('times')), atest = false; end
+        if ~isEmptyDouble(io(3).plists.find('split')), atest = false; end
+        if ~isequal(io(3).plists.find('psll'), 200), atest = false; end
+        % Check options
+        if ~isequal(io(3).plists.getOptionsForParam('nfft'), {-1}), atest = false; disp('1'); end
+        if ~isequal(io(3).plists.getOptionsForParam('win'), specwin.getTypes), atest = false;disp('2'); end
+        if ~isequal(io(3).plists.getOptionsForParam('olap'), {-1}), atest = false; disp('3');end
+        if ~isequal(io(3).plists.getOptionsForParam('order'), {-1 0 1 2 3 4 5 6 7 8 9}), atest = false;disp('4'); end
+        if ~isequal(io(3).plists.getOptionsForParam('navs'), {-1}), atest = false;disp('5'); end
+        if ~isequal(io(3).plists.getOptionsForParam('times'), {[]}), atest = false;disp('6'); end
+        if ~isequal(io(3).plists.getOptionsForParam('split'), {[]}), atest = false;disp('6'); end
+        if ~isequal(io(3).plists.getOptionsForParam('psll'), {200}), atest = false;disp('7'); end
+      end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_01
+  
+  %% UTP_02
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method works with a vector of AOs as input. (only
+  % with two objects in the vector)
+  %
+  % </TestDescription>
+  function result = utp_02
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method works for a vector of AOs as input.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      avec = [at1 at5];
+      out  = cpsd(avec);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that the number of elements in 'out' is equal to 1
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Check we have the correct number of outputs
+      if numel(out) ~= 1, atest = false; end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_02
+  
+  %% UTP_03
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method doesn't work with a matrix of AOs as input.
+  %
+  % </TestDescription>
+  function result = utp_03
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method doesn't work for a matrix of AOs as input.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      amat = [at1 at5 at6; at5 at6 at1];
+      out  = cpsd(amat);
+      % </SyntaxCode>
+      stest = false;
+    catch err
+      stest = true;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Nothing to check.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_03
+  
+  %% UTP_04
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method works with a list of AOs as input.
+  %
+  % </TestDescription>
+  function result = utp_04
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method works for a list of AOs as input.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      out = cpsd(at1,at5);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that the number of elements in 'out' is equal to 1
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Check we have the correct number of outputs
+      if numel(out) ~= 1, atest = false; end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_04
+  
+  %% UTP_05
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method doesn't work with a mix of different shaped
+  % AOs as input.
+  %
+  % </TestDescription>
+  function result = utp_05
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method doesn't work with an input of matrices and
+    % vectors and single AOs.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      out = cpsd([at5 at6],[at5 at1; at6 at1],at6);
+      stest = false;
+      % </SyntaxCode>
+    catch err
+      stest = true;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Nothing to check
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_05
+  
+  %% UTP_06
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method properly applies history.
+  %
+  % </TestDescription>
+  function result = utp_06
+    
+    % <SyntaxDescription>
+    %
+    % Test that the result of applying the cpsd method can be processed back
+    % to an m-file.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      out  = cpsd(at5,at6);
+      mout = rebuild(out);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that the last entry in the history of 'out' corresponds to
+    %    'cpsd'.
+    % 2) Check that the re-built object is the same as 'out'.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Check the last step in the history of 'out'
+      if ~strcmp(out.hist.methodInfo.mname, 'cpsd'), atest = false; end
+      % Check the re-built object
+      if ~eq(mout, out, ple2), atest = false; end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_06
+  
+  %% UTP_07
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method can not modify the input AO.
+  %
+  % </TestDescription>
+  function result = utp_07
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method can not modify the input AO.
+    % The method must throw an error for the modifier call.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      % copy at1 to work with
+      ain = ao(at1);
+      % modify ain
+      ain.cpsd(at5);
+      % </SyntaxCode>
+      stest = false;
+    catch err
+      stest = true;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Nothing to check.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_07
+  
+  %% UTP_08
+  
+  % <TestDescription>
+  %
+  % Test the shape of the output.
+  %
+  % </TestDescription>
+  function result = utp_08
+    
+    % <SyntaxDescription>
+    %
+    % Test that the cpsd method keeps the data shape of the input object. The
+    % input AO must be an AO with row data and an AO with column data.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      out1 = cpsd(at5, at6);
+      out2 = cpsd(at6, at5);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that the shape of the output data doesn't change.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Check the shape of the output data
+      if size(out1.data.y, 2) ~= 1, atest = false; end
+      if size(out2.data.y, 1) ~= 1, atest = false; end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_08
+  
+  %% UTP_09
+  
+  % <TestDescription>
+  %
+  % Check that the cpsd method pass back the output objects to a list of
+  % output variables or to a single variable.
+  %
+  % </TestDescription>
+  function result = utp_09
+    
+    % <SyntaxDescription>
+    %
+    % This test is not longer necessary because the cpsd method pass back
+    % always only one object.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Nothing to check.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_09
+  
+  %% UTP_10
+  
+  % <TestDescription>
+  %
+  % Tests that the cpsd method agrees with MATLAB's cpsd when
+  % configured to use the same parameters.
+  %
+  % </TestDescription>
+  function result = utp_10
+    
+    % <SyntaxDescription>
+    %
+    % Test that applying cpsd works on two AOs.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      % Construct two test AOs
+      nsecs = 10;
+      fs    = 1000;
+      pl = plist('nsecs', nsecs, 'fs', fs, 'tsfcn', 'randn(size(t))');
+      a1 = ao(pl); a2 = ao(pl);
+      % Filter one time-series
+      f2 = miir(plist('type', 'bandpass', 'fs', fs, 'order', 3, 'fc', [50 250]));
+      a1f = filter(a1, plist('filter', f2));
+      % make some cross-power
+      a4 = a1f+a2; a4.setName;
+      % Compute cpsd
+      Nfft = 2*fs;
+      win  = specwin('Hanning', Nfft);
+      pl = plist('Nfft', Nfft, 'Win', win.type, 'order', -1);
+      out = cpsd(a4,a1,pl);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that output agrees with the output of MATLAB's cpsd.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Compute cpsd using MATLAB's cpsd
+      [cxy, f] = cpsd(a4.data.y, a1.data.y, win.win, Nfft/2, Nfft, a1.data.fs);
+      if ~utils.math.isequal(cxy(:), out.data.y(:)) || ~utils.math.isequal(f, out.data.getX), atest = false; end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_10
+  
+  
+  %% UTP_17
+  
+  % <TestDescription>
+  %
+  % Tests handling of units:
+  % 1) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 2) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 3) CPSD of the white noise series
+  % 4) compares the units of the input and output
+  %
+  
+  % </TestDescription>
+  function result = utp_17
+    
+    % <SyntaxDescription>
+    %
+    % 1) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 2) Assign a random unit
+    % 3) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 4) Assign a random unit
+    % 5) CPSD of the white noise
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      noise_type = 'Normal';
+      win_type = 'BH92';
+      
+      [a_1, a_2, spec, spec1] = prepare_analyze_noise(win_type, noise_type, plist);
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that (calculated CPSD yunits) equals
+    % input_1 units*input_2 units/Hz
+    %
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    u = simplifyYunits(a_1.* a_2, plist('prefixes', false, 'exceptions', 'Hz'));
+    if stest
+      if ne(spec.Cxy.yunits, u.yunits * unit('Hz^-1')) || ne(spec.Cxy.xunits, unit('Hz'))
+        atest = false;
+      end
+      if ne(spec.Cyx.yunits, u.yunits * unit('Hz^-1')) || ne(spec.Cyx.xunits, unit('Hz'))
+        atest = false;
+      end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_17
+  
+  %% UTP_18
+  
+  % <TestDescription>
+  %
+  % Tests handling of units:
+  % 1) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 2) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 3) CPSD of the white noise series
+  %
+  % Comparison with PSD:
+  % 4) compares the off-diagonal terms to check they are complex-conjugated
+  % 5) compares the diagonal terms with PSD of the individual noise
+  %
+  
+  % </TestDescription>
+  function result = utp_18
+    
+    % <SyntaxDescription>
+    %
+    % 1) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 2) Assign a random unit
+    % 3) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 4) Assign a random unit
+    % 5) CPSD of the white noise
+    % 6) PSD of the white noise
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      noise_type = 'Uniform';
+      win_type = 'BH92';
+      
+      [a_1, a_2, spec, spec2] = prepare_analyze_noise(win_type, noise_type, plist);
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that CPSD(x,y) equals conj(CPSD(y,x))
+    % 2) Check that CPSD(x,x) equals PSD(x)
+    % 3) Check that CPSD(y,y) equals PSD(y)
+    %
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    
+    if stest
+      if ne(spec.Cxy.y, conj(spec.Cyx.y)), atest = false; end
+      if ne(spec.Cxy.x, spec.Cyx.x), atest = false; end
+      if ne(spec.Cxx.data, spec.S_1.data), atest = false; end
+      if ne(spec.Cyy.data, spec.S_2.data), atest = false; end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_18
+  
+  
+  %% UTP_24
+  
+  % <TestDescription>
+  %
+  % Tests that differently sized data sets are treated properly
+  %
+  % </TestDescription>
+  function result = utp_24
+    
+    % <SyntaxDescription>
+    %
+    % Test that applying cpsd works on two AOs.
+    %
+    % </SyntaxDescription>
+    
+    try
+      % <SyntaxCode>
+      % Construct two test AOs
+      nsecs = [10000:1:20000];
+      fs    = 1;
+      pl = plist('fs', fs, 'tsfcn', 'randn(size(t))');
+      a1 = ao(pl.pset('nsecs', utils.math.randelement(nsecs, 1)));
+      a2 = ao(pl.pset('nsecs', utils.math.randelement(nsecs, 1)));
+      len_1 = a1.len;
+      len_2 = a2.len;
+      % Filter one time-series
+      f2 = miir(plist('type', 'bandpass', 'fs', fs, 'order', 3, 'fc', [.050 .25]));
+      a1f = filter(a1, plist('filter', f2));
+      % Compute cpsd
+      Nfft = -1;
+      win  = 'Hanning';
+      pl = plist('Nfft', Nfft, 'Win', win, 'order', -1);
+      out = cpsd(a2,a1f,pl);
+      % </SyntaxCode>
+      stest = true;
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that cpsd used the length of the shortest ao.
+    %
+    % </AlgoDescription>
+    
+    atest = true;
+    if stest
+      % <AlgoCode>
+      % Compare the nfft with the length of the input data
+      
+      if out.x(2) ~= 1/min(len_1,len_2)
+        atest = false;
+      end
+      % </AlgoCode>
+    else
+      atest = false;
+    end
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_24
+  
+  %% UTP_25
+  
+  % <TestDescription>
+  %
+  % Tests handling of units:
+  % 1) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 2) white noise produced from normal pdf, with a given mean value and
+  % sigma (distribution's 1st and 2nd orders)
+  % 3) CPSD of the white noise series
+  % 4) compares the units of the input and output
+  %
+  
+  % </TestDescription>
+  function result = utp_25
+    
+    % <SyntaxDescription>
+    %
+    % 1) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 2) Assign a random unit
+    % 3) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 4) Assign a random unit
+    % 5) CPSD of the white noise
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      % Build time-series test data
+      fs = 1;
+      nsecs = 86400;
+      sigma_distr_1 = 4.69e-12;
+      mu_distr_1 = -5.11e-14;
+      sigma_distr_2 = 6.04e-9;
+      mu_distr_2 = 1.5e-10;
+      
+      % White noise
+      type = 'Normal';
+      
+      a_n = ao(plist('waveform', 'noise', ...
+        'type', type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr_1));
+      a_const = ao(mu_distr_1);
+      a_1 = a_n + a_const;
+      
+      a_n = ao(plist('waveform', 'noise', ...
+        'type', type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr_2));
+      a_const = ao(mu_distr_2);
+      a_2 = a_n + a_const;
+      
+      % Set units and prefix from those supported
+      unit_list = unit.supportedUnits;
+      % remove the first empty unit '' from the list, because then is it
+      % possible that we add a prefix to an empty unit
+      unit_list = unit_list(2:end);
+      prefix_list = unit.supportedPrefixes;
+      a_1.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+      a_2.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+      
+      % Evaluate the cpsd of the time-series data, using Kaiser window
+      % Psll and olap are not set
+      win = ('Kaiser');
+      detrend = 0;
+      n_pts = nsecs*fs/10;
+      
+      C = cpsd(a_1, a_2, plist('Win', win, 'Nfft', n_pts, 'order', detrend));
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that (calculated CPSD yunits) equals
+    %input_1 units*input_2 units/Hz
+    
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    u = simplifyYunits(a_1.* a_2, plist('prefixes', false, 'exceptions', 'Hz'));
+    if stest
+      if ne(C.yunits,  u.yunits * unit('Hz^-1')) || ne(C.xunits, unit('Hz'))
+        atest = false;
+      end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_25
+  
+  %% UTP_51
+  
+  % <TestDescription>
+  %
+  % Tests the possibility to set the number of averages rather than setting the Nfft:
+  % 1) white noise produced from normal pdf, with:
+  %   a given mean value and sigma (distribution's 1st and 2nd order)
+  % 2) cpsd of the noise, without detrending, random window, set number of
+  %   averages
+  % 3) check the effective number of averages
+  %
+  
+  % </TestDescription>
+  function result = utp_51
+    
+    % <SyntaxDescription>
+    %
+    % 1) Prepare the test tsdata:
+    %   white noise from normal distribution + offset
+    % 2) cpsd of the noise, without detrending, random window, set number of
+    %   averages
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      noise_type = 'Normal';
+      
+      % Evaluate the cpsd of the white noise time-series data
+      [a_1, a_2, C1, C2, navs] = prepare_analyze_noise_navs(noise_type, plist);
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that calculated navs are identical to those requested
+    %
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    
+    if stest
+      if ne(navs, C1.data.navs)
+        if ne(find(C1.hist.plistUsed, 'navs'), C1.data.navs)
+          atest = false;
+        end
+      end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_51
+  
+  %% UTP_52
+  
+  % <TestDescription>
+  %
+  % Tests the possibility to set the number of averages rather than setting the Nfft:
+  % 1) white noise produced from uniform pdf, with:
+  %   a given mean value and sigma (distribution's 1st and 2nd order)
+  % 2) cpsd of the noise, without detrending, random window, random navs
+  % 3) get the number of averages
+  % 4) get the nfft used
+  % 5) run cpsd again, with the nfft used
+  % 6) compare the calculated objects
+  %
+  
+  % </TestDescription>
+  function result = utp_52
+    
+    % <SyntaxDescription>
+    %
+    % 1) white noise produced from uniform pdf, with:
+    %   a given mean value and sigma (distribution's 1st and 2nd order)
+    % 2) cpsd of the noise, without detrending, random window, random navs
+    % 3) get the number of averages
+    % 4) get the nfft used
+    % 5) run cpsd again, with the nfft used
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      noise_type = 'Uniform';
+      
+      % Evaluate the cpsd of the white noise time-series data
+      [a_1, a_2, C1, C2, navs] = prepare_analyze_noise_navs(noise_type, plist);
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that calculated objects C1 and C2 are identical
+    %
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    
+    if stest
+      % Compare the output objects
+      if ne(C1, C2, ple3)
+        atest = false;
+      end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_52
+  
+  %% UTP_53
+  
+  % <TestDescription>
+  %
+  % Tests the possibility to set the number of averages rather than setting the Nfft:
+  % 1) white noise produced from normal pdf, with:
+  %   a given mean value and sigma (distribution's 1st and 2nd order)
+  % 2) cpsd of the noise, without detrending, random window, random navs
+  % 3) get the number of averages
+  % 4) get the nfft used
+  % 5) run cpsd again, with the nfft used
+  % 6) compare navs, nfft, psds
+  %
+  
+  % </TestDescription>
+  function result = utp_53
+    
+    % <SyntaxDescription>
+    %
+    % 1) white noise produced from normal pdf, with:
+    %   a given mean value and sigma (distribution's 1st and 2nd order)
+    % 2) cpsd of the noise, without detrending, random window, random navs
+    % 3) get the number of averages
+    % 4) get the nfft used
+    % 5) run cpsd again, with the nfft used
+    % 6) run cpsd again, with conflicting parameters, and verify it uses
+    %     nfft rather than navs
+    %
+    % </SyntaxDescription>
+    
+    % <SyntaxCode>
+    try
+      
+      noise_type = 'Uniform';
+      
+      % Evaluate the cpsd of the white noise time-series data
+      [a_1, a_2, C1, C2, navs] = prepare_analyze_noise_navs(noise_type, plist);
+      
+      npts_3 = fix(find(C1.hist.plistUsed, 'Nfft')/2);
+      
+      % Calculates the cpsd asking for the number of points AND the window length
+      pl_spec = C1.hist.plistUsed;
+      pl_spec.pset('Nfft', npts_3, 'navs', navs);
+      C3 = cpsd(a_1, a_2, pl_spec);
+      
+      stest = true;
+      
+    catch err
+      disp(err.message)
+      stest = false;
+    end
+    % </SyntaxCode>
+    
+    % <AlgoDescription>
+    %
+    % 1) Check that calculated objects C1 and C2 are identical
+    % 2) Check that C3 used different values
+    %
+    % </AlgoDescription>
+    
+    % <AlgoCode>
+    atest = true;
+    
+    if stest
+      % Compare the navs written in the output object with the requested one
+      if  ne(C1,C2,ple3) || ...
+          ne(find(C3.hist.plistUsed, 'Nfft'), npts_3) || eq(C3.data.navs, navs)
+        atest = false;
+      end
+    else
+      atest = false;
+    end
+    % </AlgoCode>
+    
+    % Return a result structure
+    result = utp_prepare_result(atest, stest, dbstack, mfilename);
+  end % END UTP_53
+  
+  %% Helper function for window call construction
+  
+  function [a_1, a_2, spec1, spec2] = prepare_analyze_noise(win_type, noise_type, pli)
+    % Array of parameters to pick from
+    fs_list =             [0.1;1;2;5;10];
+    nsecs_list =          [20 100 1000:1000:10000]';
+    sigma_distr_list =    [1e-6 2e-3 0.25 1:0.1:10]';
+    trend_0_list =        [1e-6 2e-3 0.25 1:0.1:10]';
+    
+    
+    % Build time-series test data
+    
+    % Picks the values at random from the list
+    fs = utils.math.randelement(fs_list, 1);
+    nsecs = utils.math.randelement(nsecs_list, 1);
+    sigma_distr_1 = utils.math.randelement(sigma_distr_list, 1);
+    sigma_distr_2 = utils.math.randelement(sigma_distr_list, 1);
+    trend_0_1 = utils.math.randelement(trend_0_list, 1);
+    trend_0_2 = utils.math.randelement(trend_0_list, 1);
+    
+    % Pick units and prefix from those supported
+    unit_list = unit.supportedUnits;
+    % remove the first empty unit '' from the list, because then is it
+    % possible that we add a prefix to an empty unit
+    unit_list = unit_list(2:end);
+    prefix_list = unit.supportedPrefixes;
+    
+    % White noise
+    a_n = ao(plist('waveform', 'noise', ...
+      'type', noise_type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr_1));
+    
+    % Constant signal
+    a_c = ao(trend_0_1);
+    
+    % Total signal
+    a_1 = a_n + a_c;
+    
+    % White noise
+    a_n = ao(plist('waveform', 'noise', ...
+      'type', noise_type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr_2));
+    % Constant signal
+    a_c = ao(trend_0_2);
+    
+    % Total signal
+    a_2 = a_n + a_c;
+    
+    % Set units
+    a_1.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+    a_2.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+    
+    % Evaluate the cpsd of the white noise time-series data
+    olap = 0;
+    detrend_order = 0;
+    
+    switch lower(win_type)
+      case 'kaiser'
+        psll = find(pli, 'psll');
+        if isempty(psll)
+          psll = find(ao.getInfo('psd').plists, 'psll');
+        end
+        pl_spec = plist('Win', win_type, 'psll', psll, 'olap', olap, 'order', detrend_order);
+        
+      case 'levelledhanning'
+        levelCoef = find(pli, 'levelCoef');
+        if isempty(levelCoef)
+          levelCoef = 1;
+        end
+        pl_spec = plist('Win', win_type, 'levelCoef', levelCoef, 'olap', olap, 'order', detrend_order);
+        
+      otherwise
+        pl_spec = plist('Win', win_type, 'olap', olap, 'order', detrend_order);
+        
+    end
+    
+    if find(pli, 'win_obj')
+      % Calls the cpsd applying the detrend and window internally
+      % (passig window object)
+      spec2.pl = pl_spec;
+      spec2.Cxy = cpsd(a_1, a_2, spec2.pl);
+      spec2.Cyx = cpsd(a_2, a_1, spec2.pl);
+      spec2.Cxx = cpsd(a_1, a_1, spec2.pl);
+      spec2.Cyy = cpsd(a_2, a_2, spec2.pl);
+      spec2.S_1 = simplifyYunits(psd(a_1, spec2.pl), ...
+        plist('prefixes', false, 'exceptions','Hz'));
+      spec2.S_2 = simplifyYunits(psd(a_2, spec2.pl), ...
+        plist('prefixes', false, 'exceptions','Hz'));
+    else
+      spec2 = struct;
+    end
+    % Calls the cpsd applying the detrend and window internally
+    % (passig window name)
+    spec1.pl = pl_spec.pset('Win', win_type);
+    spec1.Cxy = cpsd(a_1, a_2, spec1.pl);
+    spec1.Cyx = cpsd(a_2, a_1, spec1.pl);
+    spec1.Cxx = cpsd(a_1, a_1, spec1.pl);
+    spec1.Cyy = cpsd(a_2, a_2, spec1.pl);
+    spec1.S_1 = simplifyYunits(psd(a_1, spec1.pl), ...
+      plist('prefixes', false, 'exceptions','Hz'));
+    spec1.S_2 = simplifyYunits(psd(a_2, spec1.pl), ...
+      plist('prefixes', false, 'exceptions','Hz'));
+    
+  end
+  
+  %% Helper function for window call construction, navs option
+  
+  function [a_1, a_2, C1, C2, navs] = prepare_analyze_noise_navs(noise_type, pli)
+    % Array of parameters to pick from
+    fs_list =             [0.1;1;2;5;10];
+    nsecs_list =          [2000:1000:10000]';
+    sigma_distr_list =    [1e-6 2e-3 0.25 1:0.1:10]';
+    trend_0_list =        [1e-6 2e-3 0.25 1:0.1:10]';
+    
+    % Build time-series test data
+    
+    % Picks the values at random from the list
+    fs = utils.math.randelement(fs_list, 1);
+    nsecs = utils.math.randelement(nsecs_list, 1);
+    sigma_distr = utils.math.randelement(sigma_distr_list, 1);
+    trend_0 = utils.math.randelement(trend_0_list, 1);
+    
+    % Pick units and prefix from those supported
+    unit_list = unit.supportedUnits;
+    % remove the first empty unit '' from the list, because then is it
+    % possible that we add a prefix to an empty unit
+    unit_list = unit_list(2:end);
+    prefix_list = unit.supportedPrefixes;
+    
+    % White noise
+    a_n1 = ao(plist('waveform', 'noise', ...
+      'type', noise_type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr));
+    a_n2 = ao(plist('waveform', 'noise', ...
+      'type', noise_type, 'fs', fs, 'nsecs', nsecs, 'sigma', sigma_distr));
+    
+    % Constant signal
+    a_c = ao(trend_0);
+    
+    % Total signals
+    a_1 = a_n1 + a_c;
+    a_2 = a_n2 + a_c;
+    
+    % Set units
+    a_1.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+    a_2.setYunits(unit([cell2mat(utils.math.randelement(prefix_list,1)) cell2mat(utils.math.randelement(unit_list,1))]));
+    
+    % Evaluate the cpsd of the white noise time-series data
+    olap = 0;
+    detrend_order = 0;
+    n_pts = -1;
+    
+    navs = fix(utils.math.randelement(logspace(0,log10(max(0,a_1.len/10)),50),1));
+    
+    % Evaluate the cpsd of the white noise time-series data
+    % Window
+    win_list = specwin.getTypes;
+    win_type = utils.math.randelement(win_list(~strcmpi(win_list, 'levelledhanning')), 1);
+    win_type = win_type{1};
+    
+    switch lower(win_type)
+      case 'kaiser'
+        psll =  utils.math.randelement([0:10:200],1);
+        if psll == 0
+          psll = find(ao.getInfo('psd').plists, 'psll');
+        end
+        pl_spec = plist('Win', win_type, 'psll', psll, 'olap', olap, 'order', detrend_order);
+      otherwise
+        pl_spec = plist('Win', win_type, 'olap', olap, 'order', detrend_order);
+    end
+    
+    % Calls cpsd asking for the number of averages
+    pl_spec.pset('Nfft', n_pts, 'navs', navs);
+    C1 = cpsd(a_1, a_2, pl_spec);
+    
+    % Calls cpsd asking for the number of points just evaluated
+    pl_spec.pset('Nfft', find(C1.hist.plistUsed, 'Nfft'));
+    pl_spec.remove('navs');
+    C2 = cpsd(a_1, a_2, pl_spec);
+    
+  end
+  
+end