comparison examples/AudioInpainting/CVX_add_const_Audio_declipping.m @ 218:c38d965b5a1d luisf_dev

Moved CVX_add_const_Audio_declipping.m from solvers to the examples/AudioInpainting folder.

+function solver=CVX_add_const_Audio_declipping(Problem, solver, idxFrame)
+
+%% CVX additional constrains 
+    % Clipping level: take the analysis window into account
+    % clipping level detection
+    
+    signal = Problem.b1;
+    signalFull = Problem.b(:,idxFrame);
+    Dict = Problem.A;
+    DictFull = Problem.B;
+    Clipped = ~Problem.M(:,idxFrame);
+    W=1./sqrt(diag(Dict'*Dict));
+    
+    idxCoeff = find(solver.solution~=0);
+    
+    solution = solver.solution;
+    
+    wa = Problem.wa(Problem.windowSize); % analysis window
+    
+    
+    clippingLevelEst = max(abs(signal./wa(~Clipped)'));
+
+    idxPos = find(signalFull>=0 & Clipped);
+    idxNeg = find(signalFull<0  & Clipped);
+
+    DictPos=DictFull(idxPos,:);
+    DictNeg=DictFull(idxNeg,:);
+    
+    
+    wa_pos = wa(idxPos);
+    wa_neg = wa(idxNeg);
+    b_ineq_pos = wa_pos(:)*clippingLevelEst;
+    b_ineq_neg = -wa_neg(:)*clippingLevelEst;
+    if isfield(Problem,'Upper_Limit') && ~isempty(Problem.Upper_Limit)
+        b_ineq_pos_upper_limit = wa_pos(:)*Problem.Upper_Limit;
+        b_ineq_neg_upper_limit = -wa_neg(:)*Problem.Upper_Limit;
+    else
+        b_ineq_pos_upper_limit = Inf;
+        b_ineq_neg_upper_limit = -Inf;
+    end
+    
+    
+    j = length(idxCoeff);
+    
+    if isinf(b_ineq_pos_upper_limit)
+        %% CVX code
+        cvx_begin
+        cvx_quiet(true)
+        variable solution(j)
+        minimize(norm(Dict(:,idxCoeff)*solution-signal))
+        subject to
+        DictPos(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_pos
+        DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_neg
+        cvx_end
+        if cvx_optval>1e3
+            cvx_begin
+            cvx_quiet(true)
+            variable solution(j)
+            minimize(norm(Dict(:,idxCoeff)*solution-xObs))
+            cvx_end
+        end
+    else
+        %% CVX code
+        cvx_begin
+        cvx_quiet(true)
+        variable solution(j)
+        minimize(norm(Dict(:,idxCoeff)*solution-signal))
+        subject to
+        DictPos(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_pos
+        DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_neg
+        DictPos(:,idxCoeff)*(W(idxCoeff).*solution) <= b_ineq_pos_upper_limit
+        DictNeg(:,idxCoeff)*(W(idxCoeff).*solution) >= b_ineq_neg_upper_limit
+        cvx_end
+        if cvx_optval>1e3
+            cvx_begin
+            cvx_quiet(true)
+            variable solution(j)
+            minimize(norm(Dict(:,idxCoeff)*solution-xObs))
+            cvx_end
+        end
+    end
+ 
+   solver.solution(idxCoeff) = solution;
+    
+