📄 dbp2.m
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% dbp2.m - polar gain plot in dB - 2*pi angle range
%
% Usage: h = dbp2(th, g, rays, Rm, width)
% h = dbp2(th, g) (equivalent to rays=30, Rm=40, width=1)
% h = dbp2(th, g, rays) (equivalent to Rm=40, width=1)
% h = dbp2(th, g, rays, Rm) (equivalent to width=1)
%
% th = polar angles over [0,pi]
% g = gain at th (g is in absolute units)
% rays = ray grid at 30 degree (default) or at 45 degree angles
% Rm = minimum dB level (Rm = 40 dB by default)
% width = linewidth of gain curve (width=1 by default)
%
% h = handle to use for adding more gains and legends (see DBADD)
%
% examples: dbp2(th, g); default (30-degree lines and 40-dB scale)
% dbp2(th, g, 45); use 45-degree grid lines
% dbp2(th, g, 30, 60); 30-degree rays and 60-dB scale
% dbp2(th, g, 30, 60, 1.5); use thicker line for gain
%
% notes: makes polar plot of gdb=10*log10(g) versus th,
%
%
% max-g is assumed to be unity (e.g., as in the output of ARRAY),
% grid circles at Rm/4, 2Rm/4, 3Rm/4 are added and labeled,
% for EPS output, use width=1.50 for thicker gain line (thinnest width=0.75)
%
% see also ABP, DBZ, ABZ, DBZ2, ABZ2, ARRAY
% S. J. Orfanidis - 1997 - www.ece.rutgers.edu/~orfanidi/ewa
function h = dbp(th, g, rays, Rm, width)
if nargin==0, help dbp; return; end
if nargin<3, rays = 30; end
if nargin<4, Rm = 40; end
if nargin<5, width = 1; end
sty = ':'; % grid line style
gdb = g .* (g > eps) + eps * (g <= eps); % make g=0 into g=eps, avoids -Inf's
gdb = 10 * log10(gdb);
gdb = gdb .* (gdb > -Rm) + (-Rm) * (gdb <= -Rm); % lowest is -Rm dB
gdb = (gdb + Rm)/Rm; % scale to unity max.
x = gdb .* sin(th); % x-axis plotted vertically
y = gdb .* cos(th);
N0 = 400;
phi0 = (0:N0) * 2*pi / N0;
x0 = sin(phi0); % gain circles
y0 = cos(phi0);
h = plot(x, y, 'LineWidth', width);
hold on;
plot(x0, y0, 0.75*x0, 0.75*y0, sty, 0.50*x0, 0.50*y0, sty, 0.25*x0, 0.25*y0, sty);
axis square;
R = 1.1;
axis([-R, R, -R, R]);
axis off;
Nf = 15; % fontsize of labels
line([0,0],[-1,1]);
line([-1,1],[0,0]);
text(0, 1.02, ' 0^o', 'fontsize', Nf, 'horiz', 'center', 'vert', 'bottom');
text(0, -0.99, ' 180^o', 'fontsize', Nf, 'horiz', 'center', 'vert', 'top');
text(1, 0.01, ' 90^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'middle');
text(-1.02, 0.01, '90^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'middle');
text(1.07*cos(5*pi/12), 1.07*sin(5*pi/12), '\theta', 'fontsize', Nf+2, 'horiz', 'left');
text(-1.07*cos(5*pi/12), 1.07*sin(5*pi/12), '\theta', 'fontsize', Nf+2, 'horiz', 'right');
if rays == 45,
x1 = 1/sqrt(2); y1 = 1/sqrt(2);
line([-x1,x1], [-y1,y1], 'linestyle', sty);
line([-x1,x1], [y1,-y1], 'linestyle', sty);
text(1.04*x1, y1, '45^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'bottom');
text(0.98*x1, -0.98*y1, '135^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(-0.97*x1, 1.02*y1, '45^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'bottom');
text(-1.01*x1, -1.01*y1, '135^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'top');
else
x1 = cos(pi/3); y1 = sin(pi/3);
x2 = cos(pi/6); y2 = sin(pi/6);
line([-x1,x1], [-y1,y1], 'linestyle', sty);
line([-x2,x2], [-y2,y2], 'linestyle', sty);
line([-x2,x2], [y2,-y2], 'linestyle', sty);
line([-x1,x1], [y1,-y1], 'linestyle', sty);
text(1.02*x1,1.02*y1, '30^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'bottom');
text(0.96*x1,-0.98*y1, '150^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(1.04*x2,0.97*y2, '60^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'bottom');
text(x2,-0.95*y2, '120^o', 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(-0.91*x1,1.02*y1, '30^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'bottom');
text(-0.97*x1,-1.01*y1, '150^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'top');
text(-1.02*x2,0.97*y2, '60^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'bottom');
text(-1.01*x2,-1.01*y2, '120^o', 'fontsize', Nf, 'horiz', 'right', 'vert', 'top');
end
s1 = sprintf('-%d', 0.25*Rm);
s2 = sprintf('-%d', 0.50*Rm);
s3 = sprintf('-%d', 0.75*Rm);
text(0.765, 0.125, s1, 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(0.515, 0.125, s2, 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(0.265, 0.125, s3, 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
text(0.55, -0.005, 'dB', 'fontsize', Nf, 'horiz', 'left', 'vert', 'top');
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