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annotate m-toolbox/classes/@smodel/convol_integral.m @ 0:f0afece42f48

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Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % CONVOL_INTEGRAL implements the convolution integral for smodel objects.
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3 %
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4 % DESCRIPTION: CONVOL_INTEGRAL implements the convolution integral to evaluate
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5 % the time-domain response of smodel objects whose impulse response is h(t),
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6 % to input signals in_signal(t):
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7 % o(t) = int(h(t1) * in_signal(t-t1), t1=0..t) (1)
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8 %
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9 % CALL: out = convol_integral(mdl, sig)
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10 %
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11 % INPUTS: mdl smodel with the time-domain impulse response of
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12 % the system
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13 % sig smodel with the time-domain applied signal
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14 %
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15 % OUTPUTS: out smodel with the time-domain response of the system
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16 %
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17 % NOTE: Eq (1) assumes that in_signal(t<0) = 0
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18 %
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19 % <a href="matlab:utils.helper.displayMethodInfo('smodel', 'convol_integral')">Parameters Description</a>
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20 %
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21 % VERSION: $Id: convol_integral.m,v 1.8 2011/04/08 08:56:29 hewitson Exp $
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22 %
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23 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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24
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25 function varargout = convol_integral(varargin)
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26
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27 % Check if this is a call for parameters
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28 if utils.helper.isinfocall(varargin{:})
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29 varargout{1} = getInfo(varargin{3});
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30 return
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31 end
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32
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33 % Check if the method was called by another method
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34 callerIsMethod = utils.helper.callerIsMethod;
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35
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36 % Collect input variable names
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37 in_names = cell(size(varargin));
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38 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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39
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40 % Collect all input smodels and plists
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41 [mdls, smodel_invars, rest] = utils.helper.collect_objects(varargin(:), 'smodel', in_names);
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42 pl = utils.helper.collect_objects(rest(:), 'plist');
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43
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44 % Merge with default plist
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45 usepl = parse(pl, getDefaultPlist());
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46
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47 % Check for the number of inputs
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48 if numel(mdls) ~= 2
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49 error('### Please provide an smodel with the system impulse response and an smodel with the signal')
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50 else
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51 mdl = copy(mdls(1), false);
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52 sig = copy(mdls(2), false);
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53 end
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54
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55 % Replace .* like expressions with * to allow symbolic evaluation
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56 h = utils.prog.convertComString(mdl.expr.s, 'ToSymbolic');
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57 in_signal = utils.prog.convertComString(sig.expr.s, 'ToSymbolic');
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58
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59 % Go symbolic now
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60 syms t t1
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61 % Input Signal
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62 in_signal_t1 = sym(regexprep(in_signal,'\<t\>','t1'));
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63
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64 % System impulse response
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65 h_t_t1 = sym(regexprep(h,'\<t\>','(t-t1)'));
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66
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67 % Calculate the system response via convolution (linear system)
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68 out_s = simplify(int([h_t_t1 * in_signal_t1], t1, 0, t));
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69
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70 % Go back to string after calcuation
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71 out.expr.s = utils.prog.mup2mat(out_s);
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72
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73 % Replace * like expressions with .* to allow numeric evaluation
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74 out.expr.s = utils.prog.convertComString(out.expr.s , 'FromSymbolic');
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75
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76 % Set variables, units
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77 out.setXvar(sig.xvar);
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78 out.setXunits(sig.xunits);
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79 out.setYunits(mdl.yunits * sig.yunits);
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80
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81 % Add history step
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82 out.addHistory(getInfo('None'), usepl, [smodel_invars(:)], [mdls(:).hist]);
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83
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84 % Set output
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85
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86 % Single output
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87 varargout{1} = out;
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88 end
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89
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90 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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91 % Local Functions %
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92 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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93
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94 %--------------------------------------------------------------------------
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95 % Get Info Object
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96 %--------------------------------------------------------------------------
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97 function ii = getInfo(varargin)
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98
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99 if nargin == 1 && strcmpi(varargin{1}, 'None')
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100 sets = {};
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101 pls = [];
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102 else
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103 sets = {'Default'};
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104 pls = getDefaultPlist;
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105 end
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106 % Build info object
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107 ii = minfo(mfilename, 'smodel', 'ltpda', utils.const.categories.op, '$Id: convol_integral.m,v 1.8 2011/04/08 08:56:29 hewitson Exp $', sets, pls);
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108 ii.setArgsmin(2);
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109 end
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110
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111 %--------------------------------------------------------------------------
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112 % Get Default Plist
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113 %--------------------------------------------------------------------------
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114 function plout = getDefaultPlist()
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115 persistent pl;
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116 if ~exist('pl', 'var') || isempty(pl)
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117 pl = buildplist();
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118 end
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119 plout = pl;
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120 end
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121
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122 function pl = buildplist()
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123 pl = plist.EMPTY_PLIST;
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124 end
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125
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126
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127
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