Added Polinom

Author: dormaayan

CheckPhiDependency1.m

@@ -6,6 +6,7 @@
     B = 2048;
     omega = rand * 10 + epsilon;
     floor_omega = ceil(omega);
+    phi = rand*2*pi;
     [b_org,N_org,] = func1Numerically(omega,phi,A,B);
     [b_org_floor,N_org_floor,] = func1Numerically(floor_omega,phi,A,B);
     for j=1:1:10,

CheckPhiDependency1.m~

@@ -0,0 +1,27 @@
+% Check our mathematical part with simple and intresting polinom
+function [] = Polinom(bitBudget)
+t = 0:0.00001:1;
+s = (1/16)*(231*t.^6-315*t.^4+105*t.^2-5);
+[bNumerical,NNumerical] = polinomNumerically(bitBudget);
+qss = sampleAndQuantize(s,bitBudget,1);
+mse = mseProject(s,qss);
+min_b = 1;
+for b=2:1:16,
+    tempQss = sampleAndQuantize(s,floor(bitBudget/b),b);
+    tempMse = mseProject(s,tempQss);
+    if tempMse<mse,
+        qss = tempQss;
+        mse = tempMse;
+        min_b = b;
+    end
+end
+qss = decompress_1d(qss,numel(t));
+figure;
+plot(t,s);
+figure;
+plot(t,qss);
+fprintf('Exhausted Serch Optimal b : %d \n',min_b);
+fprintf('Exhausted Serch Optimal N : %d \n',floor(bitBudget/min_b));
+fprintf('Numerical Optimal b : %d \n',bNumerical);
+fprintf('Numerical Optimal N : %d \n',NNumerical);
+end

CheckPhiDependency3.m~

@@ -0,0 +1,26 @@
+function [ s ] = Polinom(bitBudget)
+t = 0:0.00001:1;
+s = (1/16)*(231*t.^6-315*t.^4+105*t.^2-5);
+[bNumerical,NNumerical] = polinomNumerically(bitBudget);
+qss = sampleAndQuantize(s,bitBudget,1);
+mse = mseProject(s,qss);
+min_b = 1;
+for b=2:1:16,
+    tempQss = sampleAndQuantize(s,floor(bitBudget/b),b);
+    tempMse = mseProject(s,tempQss);
+    if tempMse<mse,
+        qss = tempQss;
+        mse = tempMse;
+        min_b = b;
+    end
+end
+qss = decompress_1d(qss,numel(t));
+figure;
+plot(t,s);
+figure;
+plot(handles.axes2,t_grid,qss);
+fprintf('Exhausted Serch Optimal b : %d \n',min_b);
+fprintf('Exhausted Serch Optimal N : %d \n',floor(bitBudget/min_b));
+fprintf('Numerical Optimal b : %d \n',bNumerical);
+fprintf('Numerical Optimal N : %d \n',NNumerical);
+end

Polinom.m

@@ -3,7 +3,7 @@
     syms symb;
     fun = @(t) (2.*pi.*(beta.*t+A).*(omega+2.*alpha.*t).*cos(2.*pi.*t.*(omega+alpha.*t)+phi)+beta.*sin(2.*pi.*t.*(omega+alpha.*t)+phi)).^2;
     Energy = integral(fun,0,1);
-    range = 2*beta*(beta+A);
+    range = 2*(beta+A);
     b = double(solve(Energy/(6*B^2)*symb-log(2)*range^2/(6*2^(2*symb)),symb));
     N = B/b;
     mse = Energy/(12*N^2)+range^2/(12*2^(2*b));

Polinom.m~

@@ -0,0 +1,7 @@
+% Numerical calculation of N,b and the mse of function 1
+function [b,N] = polinomNumerically(B)
+    syms symb;
+    b = double(solve(((symb/(6*B^2))*21-log(2)/6*(4/(2^(2*symb)))),symb));
+    N = B/b;
+end
+

func5Numerically.m

@@ -0,0 +1,8 @@
+% Numerical calculation of N,b and the mse of function 1
+function [b,N] = polinomNumerically(B)
+    syms symb;
+   double(solve(Energy/(6*B^2)*symb-log(2)*range^2/(6*2^(2*symb)),symb));
+    b = double(solve(symb/(6*B^2)*21-ln?(2)/6*(4/(2^(2*symb))),symb));
+    N = B/b;
+end
+