Mercurial > hg > ltpda

annotate m-toolbox/m/mdcs/mdc1_UTN/ltpda_parfit_derivative.m @ 17:7afc99ec5f04 database-connection-manager

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Update ao_model_retrieve_in_timespan
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 function varargout = ltpda_parfit_derivative(varargin)
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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>
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4 % DESCRIPTION: LTPDA_PARFIT_DERIVATIVE performs the numeric time derivative using the method
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % of 5 points parabolic fit [1]. The function can perform the second
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % derivative, the first derivative and the point estimation.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 %
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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>
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % CALL: Deriv = ltpda_parfit_derivative(a, ... , pl)
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11 %
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12 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13 % INPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 % - Aos containing the data to be differentiated.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % - pl: is a parameter list containing the options for the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % calculation. Parameters are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 % - 'ORDER' whose accepeted options are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % - 'ZERO' perform the point estimation using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % coefficients vector d0 = [-3 12 17 12 -3]./35
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % - 'FIRST' perform the first derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % couefficients vector d1 = [-2 -1 0 1 2]./(10*T)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % - 'SECOND' perform the second derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % coefficients vector d2 = [2 -1 -2 -1 2]./(7*T^2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 % NOTE1: T is the sampling period
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % NOTE2: The default option for 'ORDER' is 'SECOND'
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27 %
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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 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % OUTPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 % - Deriv is the resulting Ao after the operation defined by the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 % input parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 % REFERENCES:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % [1] L. Carbone et al., Physical Review D 75, 042001 (2007)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % VERSION: $Id: ltpda_parfit_derivative.m,v 1.1 2008/04/24 16:13:12 luigi Exp $
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38 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % HISTORY: 18-03-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 % Creation
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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 % The following call returns a parameter list object that contains the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % default parameter values:
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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 % >> pl = ltpda_parfit_derivative('Params')
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46 %
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47 % The following call returns a string that contains the routine CVS version:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % >> version = ltpda_parfit_derivative('Version')
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50 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 % The following call returns a string that contains the routine category:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 % >> category = ltpda_parfit_derivative('Category')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 %
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55 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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56
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57
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58
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 %% Standard history variables
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60
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 ALGONAME = mfilename;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 VERSION = '$Id: ltpda_parfit_derivative.m,v 1.1 2008/04/24 16:13:12 luigi Exp $';
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63 CATEGORY = 'Signal Processing';
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64
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 %% Check if this is a call for parameters, the CVS version string
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 % or the method category
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 if nargin == 1 && ischar(varargin{1})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 in = char(varargin{1});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 if strcmpi(in, 'Params')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 varargout{1} = getDefaultPL();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 elseif strcmpi(in, 'Version')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 varargout{1} = VERSION;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 elseif strcmpi(in, 'Category')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 varargout{1} = CATEGORY;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 end
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 %% Collect input ao's, plist's and ao variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 in_names = {};
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84
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 for ii = 1:nargin
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 in_names{end+1} = inputname(ii); % Collect the inputs names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 [as, pl, invars] = collect_inputs(varargin, in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 % produce one parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 if isa(pl, 'plist')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 pl = combine(pl, getDefaultPL());
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 pl = getDefaultPL();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 %% Initialize outputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 bs = [];
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100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 %% Go through analysis objects
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102
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103 % Assigning coefficients values based on the input options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 switch find(pl, 'ORDER')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 case 'ZERO'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 Coeffs = [-3 12 17 12 -3]./35;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 case 'FIRST'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 Coeffs = [-2 -1 0 1 2]./10;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 case 'SECOND'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 Coeffs = [2 -1 -2 -1 2]./7;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 for jj = 1:numel(as)
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114
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 a = as(jj);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116 phi = a.data.y;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 fs = get(a, 'fs');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118 T = 1/fs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 %% Building vectors for calculation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 phi_temp = [phi(1);phi(1);phi(1);phi(1);phi;phi(end);phi(end);phi(end);phi(end)];
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122
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123 % Switching between the input options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 switch find(pl, 'ORDER')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 case 'ZERO'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 Deriv = (Coeffs(1)*phi_temp(1:end-4) + Coeffs(2)*phi_temp(2:end-3) + Coeffs(3)*phi_temp(3:end-2) + Coeffs(4)*phi_temp(4:end-1) + Coeffs(5)*phi_temp(5:end));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 case 'FIRST'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 Deriv = (1/T).*(Coeffs(1)*phi_temp(1:end-4) + Coeffs(2)*phi_temp(2:end-3) + Coeffs(3)*phi_temp(3:end-2) + Coeffs(4)*phi_temp(4:end-1) + Coeffs(5)*phi_temp(5:end));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 case 'SECOND'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 Deriv = (1/T^2).*(Coeffs(1)*phi_temp(1:end-4) + Coeffs(2)*phi_temp(2:end-3) + Coeffs(3)*phi_temp(3:end-2) + Coeffs(4)*phi_temp(4:end-1) + Coeffs(5)*phi_temp(5:end));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 %% Building output Aos
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138 % Creating new time series data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 Deriv = tsdata(Deriv,fs);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141 Deriv = set(Deriv, 'name', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 sprintf('ltpda_parfit_derivative(%s)', a.data.name), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143 'xunits', a.data.xunits, 'yunits', 'm/s^2');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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144
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 % make new history objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 h = history(ALGONAME, VERSION, pl, a.hist);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 h = set(h, 'invars', invars);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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148
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 % make output analysis objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150 b = ao(Deriv, h);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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151 clear Deriv
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153 % name, mfilename, description for these objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 b = setnh(b, 'name', sprintf('ltpda_parfit_derivative(%s)', invars{jj}),...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155 'description', find(pl,'description'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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156
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 %% Output the data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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158
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Daniele Nicolodi <nicolodi@science.unitn.it>
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159 bs = [bs b];
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160 clear a b
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161
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162 end
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163
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164 %% Reshape the ouput to the same size of the input
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165 varargout{1} = reshape(bs, size(as));
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166
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167 %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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168 %
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169 % FUNCTION: getDefaultPL
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170 %
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171 % DESCRIPTION: Get default params
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172 %
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173 % HISTORY: 01-02-2008 M Hueller
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174 % Creation
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175 %
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176 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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177 function plo = getDefaultPL()
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178
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179 plo = plist('NAME', 'ltpda_parfit_derivative', 'ORDER', 'SECOND', ...
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180 'DESCRIPTION','Parabolic Fit Derivative Method');
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181
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182
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183 % END
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184
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185
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186
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187