?? findoptt.m
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%% function optt = findoptt(L,C,pmax,rP,a,w,maxw)%% Arguments:% L - links in the network% C - coordinates of nodes% pmax - max. transmission power% rP - see rndtopo2d% a - fading coefficient (a<-2)%% Output:% optt(i) - optimal blocking distance around destination of L(i), % i.e. radius of the circle in which there should be no active nodes% when L(i) is active.%%% Description:% We try to estimate the optimal blocking distance for the source of each link. % For every node we start with a candidate distance t. We then estimate a number of slots N needed% for the network as a number of link sources in that circle. We also estimate the interference% generated by the rest of the network as I = 2*pi* lambda * int_t^infty x^-alpha, that is% I = 2*pi*lambda * s^{-alpha+1} / (alpha-1). We then try different possible t until we maximize% N / (1+I) which is our mimic of the rate objective function.%% ADDENDUM: New and improved heuristics. Assume t. Count the number of link sources in the blocking % region (it-1). Count the interference of the nodes outside (I). Divide I by (it-1) since only% every (it-1) node is going to send at a time. Add white noise (1) to I. Minimize (it-1)*I since% rate is inversly proportional to this.%%function optt = findoptt(L,C,pmax,rP,a,w,maxw,rat)if nargin < 8 rat = 0;endif nargin < 7 maxw = 1;endif nargin < 6 w = ones(size(L,1),1);endeps = 1e-5;nl = size(L,1);nn = size(C,1);optt = zeros(1,nl);for i=1:nl an = [1:L(i,1)-1,L(i,1)+1:nn]; dd = dist(an, L(i,2)+zeros(size(an)), C); [dd,indd] = sort(dd); rPi = rP(indd); it = 2; mmin = Inf; ch = 1; while ch & it <= nn-1 ch = 0; t = dd(it); % calculate interference of the other nodes % this is not possible in a real network! I = 0; for j=it+1:nn-1 I = I + rPi(j)*dd(j)^a; end I = I / (it-1); I = 1 + pmax * I; % veoma los estimator na bazi point processa (al zapravo iz moje glave) %I = 2*pi/nn; %I = I * t^(a+1) / (-a-1); if mmin > (it-1)*I mmin = (it-1)*I; ch = 1; end it = it+1; end if it == nn optt(i) = dd(nn-1) + eps; else optt(i) = dd(it-2) + eps; end optt(i) = optt(i) * (1 + rat * w(i)/maxw); end
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