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1 function solver=CVX_add_const_Audio_declipping(Problem, solver, idxFrame)
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2
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3 %% CVX additional constrains
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4 % Clipping level: take the analysis window into account
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5 % clipping level detection
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6
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7 signal = Problem.b1;
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8 signalFull = Problem.b(:,idxFrame);
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9 Dict = Problem.A;
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10 DictFull = Problem.B;
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11 Clipped = ~Problem.M(:,idxFrame);
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12 W=1./sqrt(diag(Dict'*Dict));
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13
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14 idxCoeff = find(solver.solution~=0);
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15
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16 solution = solver.solution;
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17
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18 wa = Problem.wa(Problem.windowSize); % analysis window
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19
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20
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21 clippingLevelEst = max(abs(signal./wa(~Clipped)'));
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22
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23 idxPos = find(signalFull>=0 & Clipped);
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24 idxNeg = find(signalFull<0 & Clipped);
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25
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26 DictPos=DictFull(idxPos,:);
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27 DictNeg=DictFull(idxNeg,:);
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28
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29
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30 wa_pos = wa(idxPos);
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31 wa_neg = wa(idxNeg);
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32 b_ineq_pos = wa_pos(:)*clippingLevelEst;
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33 b_ineq_neg = -wa_neg(:)*clippingLevelEst;
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34 if isfield(Problem,'Upper_Limit') && ~isempty(Problem.Upper_Limit)
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35 b_ineq_pos_upper_limit = wa_pos(:)*Problem.Upper_Limit;
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36 b_ineq_neg_upper_limit = -wa_neg(:)*Problem.Upper_Limit;
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37 else
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38 b_ineq_pos_upper_limit = Inf;
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39 b_ineq_neg_upper_limit = -Inf;
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40 end
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41
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42
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43 j = length(idxCoeff);
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44
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45 if isinf(b_ineq_pos_upper_limit)
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46 %% CVX code
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47 cvx_begin
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48 cvx_quiet(true)
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49 variable solution(j)
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50 minimize(norm(Dict(:,idxCoeff)*solution-signal))
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51 subject to
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52 DictPos(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_pos
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53 DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_neg
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54 cvx_end
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55 if cvx_optval>1e3
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56 cvx_begin
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57 cvx_quiet(true)
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58 variable solution(j)
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59 minimize(norm(Dict(:,idxCoeff)*solution-xObs))
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60 cvx_end
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61 end
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62 else
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63 %% CVX code
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64 cvx_begin
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65 cvx_quiet(true)
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66 variable solution(j)
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67 minimize(norm(Dict(:,idxCoeff)*solution-signal))
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68 subject to
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69 DictPos(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_pos
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70 DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_neg
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71 DictPos(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_pos_upper_limit
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72 DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_neg_upper_limit
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73 cvx_end
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74 if cvx_optval>1e3
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75 cvx_begin
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76 cvx_quiet(true)
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77 variable solution(j)
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78 minimize(norm(Dict(:,idxCoeff)*solution-xObs))
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79 cvx_end
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80 end
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81 end
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82
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83 solver.solution(idxCoeff) = solution;
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84
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85 |