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annotate m-toolbox/classes/@ssm/ssm2pzmodel.m @ 34:03d92954b939 database-connection-manager

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % SSM2PZMODEL converts a time-continuous statespace model object to a pzmodel
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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4 % DESCRIPTION: SSM2PZMODEL converts a time-continuous statespace model
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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5 % object to a pzmodel
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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:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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8 % >> pzms = ssm2pzmodel(ssm, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 % INPUT :
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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11 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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12 % ssm - a ssm object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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13 % pl - a plist with parameters 'inputs', 'states' and
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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14 % 'outputs' to indicate which inputs, states and output
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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15 % variables are taken in account. This requires proper
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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16 % variable naming. If a variable called appears more
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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17 % that once it will be used once only.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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19 % OUTPUT:
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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21 % pzms - an array of pzmodels objects if the timestep is zero
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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22 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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23 % <a href="matlab:utils.helper.displayMethodInfo('ssm', 'ssm2pzmodel')">Parameters Description</a>
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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>
parents:
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25 % VERSION: $Id: ssm2pzmodel.m,v 1.21 2011/04/08 08:56:23 hewitson Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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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 function varargout = ssm2pzmodel(varargin)
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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 % Check if this is a call for parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 if utils.helper.isinfocall(varargin{:})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 varargout{1} = getInfo(varargin{3});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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36
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 %% starting initial checks
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 utils.helper.msg(utils.const.msg.MNAME, ['running ', mfilename]);
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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>
parents:
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40 % Collect input variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 in_names = cell(size(varargin));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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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>
parents:
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44 % Collect all SSMs and plists
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 [sys, ssm_invars, rest] = utils.helper.collect_objects(varargin(:), 'ssm', in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 [pl, invars2, rest] = utils.helper.collect_objects(rest(:), 'plist');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 if ~isempty(rest)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 pl = combine(pl, plist(rest{:}));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 pl = combine(pl, getDefaultPlist);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 if numel(sys) ~= 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 error('### Input (only) one SSM object.');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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56 %% begin function body
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 %% convert to double
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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59 % Convert to double arrays
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 [A,B,C,D,Ts,inputvarnames,ssvarnames,outputvarnames, inputunit, ssunit, outputunit] =...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 double(sys, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 Ninputs_out = numel(inputvarnames);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 Noutputs_out = numel(outputvarnames);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 if Ts > 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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67 error('ssm should be time continuous, use ssm2miir instead')
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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68 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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69 %% convert to pzm
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 pzm_out = pzmodel.initObjectWithSize(Noutputs_out, Ninputs_out);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 for ii=1:Ninputs_out
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 for oo=1:Noutputs_out
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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73 [b,a] = ss2tf(A,B(:,ii),C(oo,:),D(oo, ii));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 % computing poles and zeros
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75 pa = roots(a);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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76 if isempty(pa)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 p = pz.initObjectWithSize(1,0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 gainP = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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80 [p, gainP] = roots2poly(pa);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 zb = roots(b);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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83 if isempty(zb)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 z = pz.initObjectWithSize(1,0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 gainZ = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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86 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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87 [z, gainZ] = roots2poly(zb);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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88 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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89 % computing gain coefficient
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 apos = a(a~=0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 bpos = b(b~=0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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92 if ~isempty(bpos) && ~isempty(apos)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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93 Gain = bpos(1)/apos(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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94 elseif ~isempty(apos)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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95 Gain = 1/apos(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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96 elseif ~isempty(bpos) % NB theoretically impossible to reach : SSM can't have more zeros than poles
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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97 Gain = bpos(1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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98 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 Gain = 0;
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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 Gain = Gain / gainP * gainZ;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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102 % constructing output pzm
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103 name = [sys.name,'_',num2str(ii),':',num2str(oo)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 pzm_out(oo,ii) = pzmodel(plist(...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 'gain', Gain, 'poles', p, 'zeros', z, 'name', name, ...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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106 'inunits', inputunit(ii), 'ounits' ,outputunit(oo) ));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 pzm_out(oo,ii).addHistory(ssm.getInfo(mfilename), pl , ssm_invars, sys.hist);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 if nargout == numel(pzm_out)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 for ii = 1:numel(pzm_out)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 varargout{ii} = pzm_out(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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115 varargout{1} = pzm_out;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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119
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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120 function varargout = roots2poly(roots)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 poly = pz.initObjectWithSize(1,0);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 i=1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 gain = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 while i < length(roots)+1
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125 if isreal(roots(i))
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 poly = [poly pz(-roots(i)/2/pi)]; %#ok<AGROW>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127 gain = gain * abs(roots(i));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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128 i = i+1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130 f = norm(roots(i)/2/pi);%*sign(real(roots(i)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 Q = norm(roots(i))/abs(2*real(roots(i)));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 poly = [poly pz(f,Q)]; %#ok<AGROW>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 gain = gain * abs(roots(i))^2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 i = i+2; %#ok<FXSET>
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 varargout = {poly, gain};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 % Get Info Object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 function ii = getInfo(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146 if nargin == 1 && strcmpi(varargin{1}, 'None')
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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147 sets = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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148 pl = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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149 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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150 sets = {'Default'};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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151 pl = getDefaultPlist;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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152 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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153 % Build info object
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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154 ii = minfo(mfilename, 'ssm', 'ltpda', utils.const.categories.converter, '$Id: ssm2pzmodel.m,v 1.21 2011/04/08 08:56:23 hewitson Exp $', sets, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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155 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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156
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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157 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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158 % Get Default Plist
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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159 %--------------------------------------------------------------------------
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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160 function pl = getDefaultPlist()
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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161 pl = plist();
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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 p = param({'inputs', ['Specify the inputs. Give one of:<ul>'...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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164 '<li>A cell-array of input port names.</li>'...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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165 '<li>A cell-array of logical arrays specifying which input ports to use for each input block.</li>'...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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166 '<li>A cell-array of double values specifying which input ports to use for each input block.<li>'...
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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167 '<li>The string ''ALL'' to use all inputs.']}, paramValue.STRING_VALUE('ALL'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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168 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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169
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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170 p = param({'states', 'Specify the states. Specify the states as for the ''inputs'' parameter.'}, paramValue.STRING_VALUE('ALL'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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171 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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172
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Daniele Nicolodi <nicolodi@science.unitn.it>
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173 p = param({'outputs', 'Specify the outputs. Specify the outputs as for the ''inputs'' parameter.'}, paramValue.STRING_VALUE('ALL'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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174 pl.append(p);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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175 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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176