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annotate m-toolbox/m/mdcs/mdc1_UTN/ltpda_series_derivative.m @ 52:daf4eab1a51e database-connection-manager tip

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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
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 function varargout = ltpda_series_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_SERIES_DERIVATIVE performs the numeric time derivative
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % using the method of five points stencil Taylor series expansion [1].
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % The function can perform the first, second, third and fourth derivetive
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % of a series of input data.
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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 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % CALL: Deriv = ltpda_series_derivative(a, ... , pl)
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12 %
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13 %
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14 % INPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % - Aos containing the data to be differentiated.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % - pl: is a parameter list containing the options for the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 % calculation. Parameters are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % - 'ORDER' whose accepeted options are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % - 'FIRST' perform the first derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % couefficients vector d1 = [1 -8 0 8 -1]./(12*T)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % - 'SECOND' perform the second derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % coefficients vector d2 = [-1 16 -30 16 -1]./(12*T^2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % - 'THIRD' perform the third derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % coefficients vector d3 = [-1 2 0 -2 1]./(2*T^3)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 % - 'FOURTH' perform the third derivative using the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % coefficients vector d4 = [1 -4 6 -4 1]./(T^4)
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27 %
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28 % NOTE1: T is the sampling period
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29 % NOTE2: The default option for 'ORDER' is 'SECOND'
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30 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 %
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32 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 % OUTPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 % - Deriv is avector containing the resulting Aos after
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % differentiation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 %
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37 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % REFERENCES:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % [1] S. E. Koonin and D. C. Meredith, COMPUTATIONAL PHYSICS -
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 % Fortran Version, 1990, Westview Press
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41 %
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42 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 % VERSION: $Id: ltpda_series_derivative.m,v 1.1 2008/04/24 16:13:12 luigi Exp $
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44 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 % HISTORY: 18-03-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 % Creation
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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 % 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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49 % default parameter values:
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50 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 % >> pl = ltpda_series_derivative('Params')
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52 %
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53 % 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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54 %
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55 % >> version = ltpda_series_derivative('Version')
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56 %
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57 % 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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58 %
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59 % >> category = ltpda_series_derivative('Category')
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60 %
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61 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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62
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63
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64
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65 %% Standard history variables
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66
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67 ALGONAME = mfilename;
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68 VERSION = '$Id: ltpda_series_derivative.m,v 1.1 2008/04/24 16:13:12 luigi Exp $';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 CATEGORY = 'Signal Processing';
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70
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 %% 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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72 % or the method category
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 if nargin == 1 && ischar(varargin{1})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 in = char(varargin{1});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 if strcmpi(in, 'Params')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 varargout{1} = getDefaultPL();
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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 elseif strcmpi(in, 'Version')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 varargout{1} = VERSION;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 elseif strcmpi(in, 'Category')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 varargout{1} = CATEGORY;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 end
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86
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87 %% Collect input ao's, plist's and ao variable names
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88
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 in_names = {};
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90
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 for ii = 1:nargin
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92 in_names{end+1} = inputname(ii); % Collect the inputs names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 [as, pl, invars] = collect_inputs(varargin, in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 % produce one parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 if isa(pl, 'plist')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 pl = combine(pl, getDefaultPL());
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 else
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101 pl = getDefaultPL();
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102 end
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103
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 %% Initialize outputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 bs = [];
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106
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 %% Go through analysis objects
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108
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109 % Assigning coefficients values based on the input options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 switch find(pl, 'ORDER')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111 case 'FIRST'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 Coeffs = [1 -8 0 8 -1]./12;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 case 'SECOND'
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114 Coeffs = [-1 16 -30 16 -1]./12;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 case 'THIRD'
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116 Coeffs = [-1 2 0 -2 1]./2;
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117 case 'FOURTH'
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118 Coeffs = [1 -4 6 -4 1];
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119 end
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120
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121 for jj = 1:numel(as)
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122
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123 a = as(jj);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124 phi = a.data.y;
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125 fs = get(a, 'fs');
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126 T = 1/fs;
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127
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 %% Building vectors for calculation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 phi_temp = [phi(1);phi(1);phi(1);phi(1);phi;phi(end);phi(end);phi(end);phi(end)];
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130
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 % Switching between the input options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 switch find(pl, 'ORDER')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133 case 'FIRST'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 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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135 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 case 'SECOND'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137 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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138 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139 case 'THIRD'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140 Deriv = (1/T^3).*(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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141 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 case 'FOURTH'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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143 Deriv = (1/T^4).*(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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144 Deriv = Deriv(3:end-2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 %% Building output Aos
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148
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 % Creating new time series data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150 Deriv = tsdata(Deriv,fs);
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151
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 Deriv = set(Deriv, 'name', ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153 sprintf('ltpda_parfit_derivative(%s)', a.data.name), ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 'xunits', a.data.xunits, 'yunits', 'm/s^2');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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155
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Daniele Nicolodi <nicolodi@science.unitn.it>
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156 % make new history objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 h = history(ALGONAME, VERSION, pl, a.hist);
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158 h = set(h, 'invars', invars);
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159
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160 % make output analysis objects
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161 b = ao(Deriv, h);
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162 clear Deriv
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163
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164 % name, mfilename, description for these objects
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165 b = setnh(b, 'name', sprintf('ltpda_parfit_derivative(%s)', invars{jj}),...
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166 'description', find(pl,'description'));
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167
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168 %% Output the data
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169
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170 bs = [bs b];
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171 clear a b
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172
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173 end
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174
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175 %% Reshape the ouput to the same size of the input
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176 varargout{1} = reshape(bs, size(as));
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177
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178 %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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179 %
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180 % FUNCTION: getDefaultPL
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181 %
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182 % DESCRIPTION: Get default params
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183 %
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184 % HISTORY: 01-02-2008 M Hueller
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185 % Creation
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186 %
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187 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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188 function plo = getDefaultPL()
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189
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190 plo = plist('NAME', 'ltpda_parfit_derivative', 'ORDER', 'SECOND', ...
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191 'DESCRIPTION','Series Expansion Derivative Method');
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192
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193
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194 % END
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195
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196
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197
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198