annotate m-toolbox/classes/@ao/detrend.m @ 52:daf4eab1a51e database-connection-manager tip

Fix. Default password should be [] not an empty string
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 07 Dec 2011 17:29:47 +0100
parents f0afece42f48
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % DETREND detrends the input analysis object using a polynomial of degree N.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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4 % DESCRIPTION: DETREND detrends the input analysis object using a
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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5 % polynomial of degree N.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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6 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7 % CALL: b = detrend(a1,a2,a3,..., pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 % INPUTS: aN - a list of analysis objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 % pl - a parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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12 % OUTPUTS: b - array of analysis objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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14 % If the last input argument is a parameter list (plist) it is used.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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15 % The following parameters are recognised.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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17 % NOTE: detrend uses two possible algorithms. A fast C-code implementation
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18 % is used for orders less than 11. If the order is higher than 10, then a
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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19 % MATLAB code is used which is typically much slower. You can also force
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20 % the use of the MATLAB code using a plist option. When interpreting the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % resulting coefficients, you must be clear which algorithm was used. For
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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22 % the C-code algorithm, the coefficients are scaled from the original by
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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23 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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24 % z = 2.*ii/(n-1)-1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % such that the functional form (for a three-coefficient example) that is
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 % subtracted from the data can be recovered with:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % fitted_c = c.y(3).*z.^2 + c.y(2).*z + c.y(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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32 % The procinfo field of the output AOs is filled with the following key/value
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 % pairs:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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34 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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35 % 'COEFFS' - pest object with coefficients describing the subtracted trend function
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36 % Note that they correspond to physical trend coefficents
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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37 % only if using the (slower) option 'M-FILE ONLY'. In the
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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38 % case of using the C-code algorith, see the note above.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 % <a href="matlab:utils.helper.displayMethodInfo('ao', 'detrend')">Parameters Description</a>
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 % VERSION: $Id: detrend.m,v 1.28 2011/04/08 08:56:11 hewitson Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 function varargout = detrend(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 % Check if this is a call for parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 if utils.helper.isinfocall(varargin{:})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 varargout{1} = getInfo(varargin{3});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 import utils.const.*
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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55 utils.helper.msg(msg.PROC3, 'running %s/%s', mfilename('class'), mfilename);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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57 % Collect input variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 in_names = cell(size(varargin));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 % Collect all AOs
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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62 [as, ao_invars] = utils.helper.collect_objects(varargin(:), 'ao', in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 pl = utils.helper.collect_objects(varargin(:), 'plist', in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 % Decide on a deep copy or a modify
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 bs = copy(as, nargout);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 % Combine plists
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 pl = parse(pl, getDefaultPlist);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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71 % Unpack parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 % Leaving the "N" for backwards compatibility
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 order = find(pl, 'N', find(pl, 'order'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 % Loop over analysis objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 for jj = 1:numel(bs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 % check data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 if ~isa(bs(jj).data, 'tsdata')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 warning('!!! This method only works with time-series at the moment. Skipping %s', ao_invars{jj});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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81 % detrend with polynomial
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 if find(pl, 'M-FILE ONLY')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 if order >= 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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84 [y,c] = polydetrend(bs(jj).x, bs(jj).y, order);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 y = bs(jj).y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 c = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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90 try
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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91 [y,c] = ltpda_polyreg(bs(jj).y, order);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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92 catch
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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93 warning('!!! failed to execture ltpda_polyreg.mex. Using m-file call.');
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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94 if order >= 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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95 [y,c] = polydetrend(bs(jj).x, bs(jj).y, order);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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97 y = bs(jj).y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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98 c = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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100 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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101 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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102 % set the values in the y and procinfo fields
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103 bs(jj).data.setY(y);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 % build a pest object with the coefficients
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 units = unit.initObjectWithSize(1, order + 1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 names = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 mdl = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 if order >= 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 for kk = 1:order+1
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 ll = order - kk + 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 units(kk) = bs(jj).yunits / simplify((unit(bs(jj).xunits)).^(ll));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113 names{kk}= ['P' num2str(ll)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 mdl = [mdl '+P' num2str(ll) '*t.^' num2str(ll) ' '];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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115 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 coeff = pest(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118 'names', names, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119 'y', c, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 'dy', zeros(size(c)), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 'yunits', units ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 bs(jj).procinfo = plist('coeffs', coeff.setModels(smodel(mdl)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 % add name
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 bs(jj).name = sprintf('detrend(%s)', bs(jj).name);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127 % add history
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 bs(jj).addHistory(getInfo('None'), pl, ao_invars(jj), bs(jj).hist);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 % Clear the errors since they don't make sense anymore
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130 clearErrors(bs(jj));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 % Set output
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 if nargout == numel(bs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 % List of outputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 for ii = 1:numel(bs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 varargout{ii} = bs(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 % Single output
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 varargout{1} = bs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 % Get Info Object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 function ii = getInfo(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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152 if nargin == 1 && strcmpi(varargin{1}, 'None')
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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153 sets = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154 pl = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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155 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156 sets = {'Default'};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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157 pl = getDefaultPlist;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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158 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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159 % Build info object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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160 ii = minfo(mfilename, 'ao', 'ltpda', utils.const.categories.sigproc, '$Id: detrend.m,v 1.28 2011/04/08 08:56:11 hewitson Exp $', sets, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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161 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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162
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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163 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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164 % Get Default Plist
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Daniele Nicolodi <nicolodi@science.unitn.it>
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165 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
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166
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Daniele Nicolodi <nicolodi@science.unitn.it>
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167 function plout = getDefaultPlist()
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Daniele Nicolodi <nicolodi@science.unitn.it>
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168 persistent pl;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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169 if exist('pl', 'var')==0 || isempty(pl)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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170 pl = buildplist();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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171 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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172 plout = pl;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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173 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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174
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Daniele Nicolodi <nicolodi@science.unitn.it>
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175 function pl = buildplist()
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Daniele Nicolodi <nicolodi@science.unitn.it>
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176 pl = plist();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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177
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Daniele Nicolodi <nicolodi@science.unitn.it>
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178 % order
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Daniele Nicolodi <nicolodi@science.unitn.it>
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179 p = param({'order',['The order of detrending:<ul>', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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180 '<li>-1 - no detrending</li>', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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181 '<li>0 - subtract mean</li>', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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182 '<li>1 - subtract linear fit</li>', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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183 '<li>N - subtract fit of polynomial, order N</li></ul>']}, {3, {-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, paramValue.SINGLE});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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184 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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185
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Daniele Nicolodi <nicolodi@science.unitn.it>
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186 % m-file only
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Daniele Nicolodi <nicolodi@science.unitn.it>
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187 p = param({'M-FILE ONLY','Using SLOWER m-file call'}, paramValue.FALSE_TRUE);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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188 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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189
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Daniele Nicolodi <nicolodi@science.unitn.it>
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190 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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191
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Daniele Nicolodi <nicolodi@science.unitn.it>
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192 function [y,p] = polydetrend(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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193 % POLYDETREND detrends the input data vector with a polynomial.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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194 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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195 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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196 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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197 % DESCRIPTION: POLYDETREND detrends the input data vector with a
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Daniele Nicolodi <nicolodi@science.unitn.it>
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198 % polynomial.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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199 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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200 % CALL: [y,p] = polydetrend(x,order);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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201 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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202 % INPUTS: x - vector of x values
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Daniele Nicolodi <nicolodi@science.unitn.it>
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203 % order - order of polynomial to fit and subtract
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Daniele Nicolodi <nicolodi@science.unitn.it>
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204 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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205 % OUTPUTS: y - detrended data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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206 % p - coefficients fitted to the trend function
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Daniele Nicolodi <nicolodi@science.unitn.it>
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207 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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208 % VERSION: $Id: detrend.m,v 1.28 2011/04/08 08:56:11 hewitson Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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209 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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210 % HISTORY: 30-05-07 M Hewitson
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Daniele Nicolodi <nicolodi@science.unitn.it>
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211 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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212 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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213 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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214
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Daniele Nicolodi <nicolodi@science.unitn.it>
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215 if nargin == 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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216 x = varargin{1};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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217 order = varargin{2};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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218 t = [1:length(x)].';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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219 elseif nargin == 3
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Daniele Nicolodi <nicolodi@science.unitn.it>
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220 t = varargin{1};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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221 x = varargin{2};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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222 order = varargin{3};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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223 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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224 error('### incorrect inputs.');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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225 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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226
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Daniele Nicolodi <nicolodi@science.unitn.it>
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227 % fit polynomial
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Daniele Nicolodi <nicolodi@science.unitn.it>
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228 p = polyfit(t, x, order);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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229
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Daniele Nicolodi <nicolodi@science.unitn.it>
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230 % make polynomial series
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Daniele Nicolodi <nicolodi@science.unitn.it>
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231 py = polyval(p, t);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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232
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Daniele Nicolodi <nicolodi@science.unitn.it>
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233 % detrend
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Daniele Nicolodi <nicolodi@science.unitn.it>
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234 y = x - py;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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235 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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236 % END
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Daniele Nicolodi <nicolodi@science.unitn.it>
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237