view util/classes/@dictionary/plotcumcoherence.m @ 170:68fb71aa5339 danieleb

Added dictionary decorrelation functions and test script for Letters paper.

function plotcumcoherence(obj,mu)
if ~exist('mu','var') || isempty(mu), mu = cumcoherence(obj); end
[d N] = size(obj.phi);

% Plot cumulative coherence with lower and upper bounds
mumin = (1:d)*sqrt((N-d)/(d*(N-1)));
mumax = (1:d);
figure,
subplot(1,6,1:2)
hold on, grid on
plot(1,mumax(1),'k-s');
plot(1,mu(1),'ko');
plot(1,mumin(1),'k-d')
set(gca,'XScale','log','YScale','log');
axis tight
ylabel('\mu');
ylim([mumin(1) 10])

subplot(1,6,3:6)
hold on, grid on
plot(2:d,mumax(2:end),'k-s');
plot(2:d,mu(2:end),'k-o');
plot(2:d,mumin(2:end),'k-d');
set(gca,'XScale','log','YScale','log');
axis tight
xlabel('k');
ylabel('\mu(k)');
ylim([mumin(1) 10])

% Plot recovery bounds
plot(2:d,1-mu(1:d-1),'r-o')
plot(2:d,1-mumin(1:d-1)','r-d')
plot([2 d],[1/3 1/3],'b');
legend('\mu_{max}(k)','\mu(k)','\mu_{min}(k)','Exact-Sparse \mu','Exact-Sparse \mu_{min}','Sparse');


% v = conv(mu,[1 1]);
% ind = find(v<1, 1, 'last');
% 
% line([ind ind], [min(mu) max(mu)],'Color','red');
% title(['Minimum allowed sparsity (Tanner):' num2str(ind/obj.len)]);
end