📄 bpfig33.m
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% bpfig33: BP Figure 3.3 -- Analyzing Gong
%----------------------------------------------------------------------
%
% Signal: Gong
% s = cos(t * pi/2 * n) ./ ((1:n) .^ .5)';
% s = [zeros(n/2,1); s(1:(n/2))];
% Signal Length: 1024
% Dictionary: Cosine Packets with D = log2(n)-4
% Observations:
% (a) Signal Gong
% (b) MOF phase plane: weak and smeared out.
% (c) BOB phase plane misses the decay structure of the Gong.
% (d) MP is better the BOB, but still doesn't give a good
% description of the decay structure.
% (e) BP phase plane reveals the decay structure precisely.
%
% Use:
% bpfig33 uses the current solver.
% ATOMIZER_ENGINE = 1998; selects original solver.
% ATOMIZER_ENGINE = 2001; selects later solver.
% Default is most recent solver.
%----------------------------------------------------------------------
%----------------------------------------------------------------------
% 1998: (S. Chen) Original script for BP paper.
% 09 Apr 2001: (M. Saunders) Choice of solvers implemented.
%----------------------------------------------------------------------
help bpfig33
bpengine;
n = 1024; D = log2(n);
t = (1:n)' ./ n;
x = cos(t * pi/2 * n) ./ ((1:n) .^ .5)';
nn = n / 2;
x = [zeros(nn,1); x(1:(n - nn))];
time = cputime;
cMOF = MOF(x, 'CP', D, 0, 0);
time1 = cputime - time;
time = cputime;
cBOB = BOB(x, 'CP', D, 0, 0);
time2 = cputime - time;
time = cputime;
cMP = MP (x, 'CP', D, 0, 0);
time3 = cputime - time;
time = cputime;
switch ATOMIZER_ENGINE
case 1998
cBP = BP_Interior (x, 'CP', D, 0, 0, 1e-3, 1e-3, 1e-3);
% Was 1e-4, 1e-4, 1e-4, but no need.
case 2001
cBP = BP_Interior2(x, 'CP', D, 0, 0);
end
time4 = cputime - time;
fprintf('\n')
fprintf('CPU Running Time of MOF = %8.4e\n', time1);
fprintf('CPU Running Time of BOB = %8.4e\n', time2);
fprintf('CPU Running Time of MP = %8.4e\n', time3);
fprintf('CPU Running Time of BP = %8.4e\n', time4);
%--------------------
% Plots
%--------------------
fprintf('\nConstructing figure(%1g) ...\n', FIGURE)
figure(FIGURE); clf reset;
subplot(3,2,1); plot(t, x);
axis([0 1 -1 1]);
title('(a) Signal: Gong');
subplot(3,2,6); [TF TFScale] = PhasePlane(cBP, 'CP', n);
title('(f) Phase Plane: BP');
subplot(3,2,3); PhasePlane(cMOF, 'CP', n, 0, 256, TFScale);
title('(c) Phase Plane: MOF');
subplot(3,2,4); PhasePlane(cBOB, 'CP', n, 0, 256, TFScale);
title('(d) Phase Plane: BOB');
subplot(3,2,5); PhasePlane(cMP , 'CP', n, 0, 256, TFScale);
title('(e) Phase Plane: MP');
subplot(3,2,3); axis([.48 .65 0 1])
subplot(3,2,4); axis([.48 .65 0 1])
subplot(3,2,5); axis([.48 .65 0 1])
subplot(3,2,6); axis([.48 .65 0 1])
brighten(-.5);
brighten(-.5);
brighten(-.5);
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