Mercurial > hg > ltpda

annotate m-toolbox/m/mdcs/mdc1_UTN/ltpda_free_dynamics.m @ 24:056f8e1e995e 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 function varargout = ltpda_free_dynamics(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: DATA_REDUCTION converts interferometer data to acceleration
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % data. This function returns the free dynamics without the action of the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % controller circuit. The commanded force has to be subtracted in order to
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 % obtain the output force noise
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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: b = ltpda_free_dynamics(varargin);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11 % ltpda_free_dynamics(varargin);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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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 interferometer data. Aos must be supplied in
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15 % couples.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 % - plist containing the parasitic stiffness and the cross talk
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 % coefficient. The default structure of the plist is:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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18 % plo = plist('pstiff1', -13e-7,'pstiff2', -20e-7,'cross_talk',
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % -1e-4, 'METHOD', 'PARFIT')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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20 % - 'pstiff1' is the square of the parasitic stiffness per unit of mass of TM1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 % - 'pstiff2' is the square of the parasitic stiffness per unit of mass of TM2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 % - 'cross_talk' is the sensitivity of the differential channel
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23 % to x1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % - 'METHOD' define the method you want to use for the
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 % calculation of the derivatives. Possible values are:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % - 'PARFIT' makes use of the five points stencil parabolic
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 % fit approximation [1] to calculate the derivatives
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28 % - 'SERIES' makes use of the five points stencil taylor
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % series approximation [2] to calculate the derivatives
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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 % Es: b = ltpda_free_dynamics(ao1, ao2);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 % Es: b = ltpda_free_dynamics(ao1, ao2, pl);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 %
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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 % OUTPUTS:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % a vector of Aos containing the data obtained by the application of
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 % the free dynamics to the input data (interferometer data)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 % REFERENCES:
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 % [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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43 % [2] S. E. Koonin and D. C. Meredith, COMPUTATIONAL PHYSICS -
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 % Fortran Version, 1990, Westview Press
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 % VERSION: $Id: ltpda_free_dynamics.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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47 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 % HISTORY: 18-03-2008 L Ferraioli
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % Creation
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 %
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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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54
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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>
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56 %% Standard history variables
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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 ALGONAME = mfilename;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 VERSION = '$Id: ltpda_free_dynamics.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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60 CATEGORY = 'Signal Processing';
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 %% 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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63 % or the method category
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 if nargin == 1 && ischar(varargin{1})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 in = char(varargin{1});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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66 if strcmpi(in, 'Params')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 varargout{1} = getDefaultPL();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 elseif strcmpi(in, 'Version')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70 varargout{1} = VERSION;
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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, 'Category')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 varargout{1} = CATEGORY;
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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 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 %% Collect input ao's, plist's and ao variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 in_names = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80 for ii = 1:nargin
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 in_names{end+1} = inputname(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 [as, pl, invars] = collect_inputs(varargin, in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 % Checks that the input AOs come in pairs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 if rem(length(as),2)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 warning('The input AOs must come in pairs!');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 % produce one parameter list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 if isa(pl, 'plist')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 pl = combine(pl, getDefaultPL());
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 pl = getDefaultPL();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98
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Daniele Nicolodi <nicolodi@science.unitn.it>
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99 %% Initialize outputs
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 % bs = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 %% Defining Constants
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Daniele Nicolodi <nicolodi@science.unitn.it>
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103
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Daniele Nicolodi <nicolodi@science.unitn.it>
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104 fs = get(as(1),'fs');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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105 wpx1 = find(pl, 'pstiff1');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 wpx2 = find(pl, 'pstiff2');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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107 dSD1 = find(pl, 'cross_talk');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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108 T = 1/fs;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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109
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Daniele Nicolodi <nicolodi@science.unitn.it>
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110 %% Defining plist for derivative functions
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Daniele Nicolodi <nicolodi@science.unitn.it>
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111
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Daniele Nicolodi <nicolodi@science.unitn.it>
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112 % In this case we need only second order derivatives and zero order in
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Daniele Nicolodi <nicolodi@science.unitn.it>
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113 % case we want to use the parabolic fit method
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Daniele Nicolodi <nicolodi@science.unitn.it>
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114 pl_2diff = plist('NAME', 'Second deriv plist', 'ORDER', 'SECOND');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 pl_0diff = plist('NAME', 'Zero deriv plist', 'ORDER', 'ZERO');
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Daniele Nicolodi <nicolodi@science.unitn.it>
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116
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Daniele Nicolodi <nicolodi@science.unitn.it>
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117 %% Going through analysis objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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118
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 for jj = 1:2:numel(as)/2
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120
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Daniele Nicolodi <nicolodi@science.unitn.it>
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121 % Extracts the input data
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Daniele Nicolodi <nicolodi@science.unitn.it>
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122 a1 = as(jj);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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123 a2 = as(jj+1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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124
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Daniele Nicolodi <nicolodi@science.unitn.it>
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125 %% Applying "free dynamics" to data using the differentiation method
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Daniele Nicolodi <nicolodi@science.unitn.it>
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126 %% defined in the input plist
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Daniele Nicolodi <nicolodi@science.unitn.it>
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127 switch find(pl, 'METHOD')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 case 'PARFIT'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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129 d2_a1 = ltpda_parfit_derivative(a1, pl_2diff);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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130 d0_a1 = ltpda_parfit_derivative(a1, pl_0diff);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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131 d2_a2 = ltpda_parfit_derivative(a2, pl_2diff);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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132 d0_a2 = ltpda_parfit_derivative(a2, pl_0diff);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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133
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Daniele Nicolodi <nicolodi@science.unitn.it>
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134 b1 = d2_a1 + wpx1.*d0_a1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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135 b12 = -dSD1.*d2_a1 + (wpx2-wpx1-(dSD1*wpx2)).*d0_a1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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136 b22 = d2_a2 + wpx2.*d0_a2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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137 b2 = b12 + b22;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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138 clear b12 b22
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Daniele Nicolodi <nicolodi@science.unitn.it>
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139
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Daniele Nicolodi <nicolodi@science.unitn.it>
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140 case 'SERIES'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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141 d2_a1 = ltpda_series_derivative(a1, pl_2diff);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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142 d2_a2 = ltpda_series_derivative(a2, pl_2diff);
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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>
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144 b1 = d2_a1 + wpx1.*a1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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145 b12 = -dSD1.*d2_a1 + (wpx2-wpx1-(dSD1*wpx2)).*a1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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146 b22 = d2_a2 + wpx2.*a2;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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147 b2 = b12 + b22;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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148 clear b12 b22
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Daniele Nicolodi <nicolodi@science.unitn.it>
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149 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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150
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Daniele Nicolodi <nicolodi@science.unitn.it>
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151 % name, mfilename, description for these objects
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Daniele Nicolodi <nicolodi@science.unitn.it>
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152 b1 = setnh(b1, 'name', sprintf('ltpda_free_dynamics(%s)', invars{jj}),...
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Daniele Nicolodi <nicolodi@science.unitn.it>
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153 'description', find(pl,'description'));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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154 b2 = setnh(b2, 'name', sprintf('ltpda_free_dynamics(%s)', invars{jj+1}),...
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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 % bs = [bs b1 b2];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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157 % clear('b1', 'b2');
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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 end
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160
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161 % %% Reshape the ouput to the same size of the input
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162 %
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163 % varargout{1} = reshape(bs, size(as));
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164
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165 %% outputs
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166 if nargout == 2
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167 varargout{1} = b1;
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168 varargout{2} = b2;
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169 elseif nargout == 1
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170 varargout{1} = [b1 b2];
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171 end
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172 %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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173 %
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174 % FUNCTION: getDefaultPL
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175 %
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176 % DESCRIPTION: Get default params
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177 %
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178 % HISTORY: 01-02-2008 M Hueller
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179 % Creation
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180 %
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181 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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182 function plo = getDefaultPL()
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183
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184 plo = plist('pstiff1', -13e-7,'pstiff2', -20e-7,'cross_talk', -1e-4,'METHOD', 'PARFIT', ...
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185 'DESCRIPTION','Application of the free dynamics to interferometer data');
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186
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187
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188
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189
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190
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191
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192
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193