added antenna pointing parameters
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@@ -1,10 +1,12 @@
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function obj = initialize(obj, txPower, bandwidth, centerFreq, rxGain_dBi)
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function obj = initialize(obj, txPower, bandwidth, centerFreq, rxGain_dBi, boresightTilt, boresightAzimuth)
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arguments (Input)
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obj (1, 1) {mustBeA(obj, "rfSensor")}
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txPower (1, 1) double;
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bandwidth (1, 1) double;
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centerFreq (1, 1) double;
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rxGain_dBi (1, 1) double;
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boresightTilt (1, 1) double = 0;
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boresightAzimuth (1, 1) double = 0;
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end
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arguments (Output)
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obj (1, 1) {mustBeA(obj, "rfSensor")}
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@@ -15,6 +17,8 @@ function obj = initialize(obj, txPower, bandwidth, centerFreq, rxGain_dBi)
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obj.BW = bandwidth; % Bandwidth (Hz)
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obj.f_c = centerFreq; % Center frequency (Hz)
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obj.G_RX_dBi = rxGain_dBi; % Receiving Antenna Gain (dBi)
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obj.boresightTilt = boresightTilt;
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obj.boresightAzimuth = boresightAzimuth;
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% Computed values
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obj.P_TX_dBm = 10*log10(obj.P_TX/1e-3); % Transmit power in dBm
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+27
-31
@@ -5,52 +5,48 @@ function f = plotParameters(obj)
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arguments (Output)
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f (1, 1) {mustBeA(f, "matlab.ui.Figure")};
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end
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% Distance and tilt sample points
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d_values = 10.^[1, 2, 3, 4, 5, 6];
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t_values = 0:2.5:180; % 0=nadir (center), 180=zenith (edge)
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% Agent altitude layers and angle sample points
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alt_values = 10.^[1, 2, 3, 4];
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t_values = 0:2.5:87.5; % 0=nadir (center), <90=near horizon (edge)
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a_values = 0:2.5:360;
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% Make grid of values of distances and tilts
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[d_mg, t_mg, a_mg] = meshgrid(d_values, t_values, a_values);
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d = d_mg(:); t = t_mg(:); a = a_mg(:); % flatten
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% Sample received signal strength (no interference or noise)
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s_x = obj.RSS(d, t, a);
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s_x = reshape(s_x, size(d_mg));
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[T, A] = meshgrid(t_values, a_values); % Naz x Nel
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Ar = deg2rad(A);
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f = figure;
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hold("on");
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for ii = 1:numel(d_values)
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% Linear radial mapping: t=0 (nadir) -> center, t=180 (zenith) -> edge
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% Radius in log10 units to match Z axis scale
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r = log10(d_values(ii)) .* T ./ 180;
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for ii = 1:numel(alt_values)
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alt = alt_values(ii);
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% For agent at altitude alt, ground target at tilt T has slant distance:
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D = alt ./ cosd(T);
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% Compute RSS for each (d, t, a) triple
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rss = obj.RSS(D(:), T(:), A(:));
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Fslice = reshape(rss, size(D));
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% Disc geometry: t=0 (nadir) -> center, t~90 (horizon) -> edge
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r = log10(alt) .* T ./ 90;
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X = r .* cos(Ar);
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Y = r .* sin(Ar);
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Z = log10(d_values(ii)) * ones(size(X));
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% evaluate or extract this slice
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Fslice = squeeze(s_x(:, ii, :))';
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% plot as its own surface
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h = surf(X, Y, Z, Fslice);
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h.EdgeColor = 'none';
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h.FaceColor = 'interp';
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h.FaceAlpha = 0.25;
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Z = log10(alt) * ones(size(X));
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hs = surf(X, Y, Z, Fslice);
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hs.EdgeColor = 'none';
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hs.FaceColor = 'interp';
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hs.FaceAlpha = 0.25;
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end
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colormap(turbo);
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colorbar;
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daspect([1 1 0.2]) % Separate Z further for more distinct layers
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xlabel('X (log_{10} units)'); ylabel('Y (log_{10} units)'); zlabel('log_{10} Distance (m)');
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set(gca,'ZDir','reverse');
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view(3);
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daspect([1 1 0.2]);
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xlabel('X (log_{10} units)'); ylabel('Y (log_{10} units)'); zlabel('log_{10} Altitude (m)');
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set(gca, 'ZDir', 'reverse');
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view(3);
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axis("vis3d");
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grid("on");
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scatter3(0, 0, 0, 'rx');
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hold("off");
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end
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end
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@@ -9,6 +9,8 @@ classdef rfSensor
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BW = NaN; % Bandwidth (Hz)
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f_c = NaN; % Center frequency (Hz)
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G_RX_dBi = NaN; % Receiver antenna gain
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boresightTilt = 0; % Antenna boresight tilt (deg): 0=nadir, 90=horizon
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boresightAzimuth = 0; % Antenna boresight azimuth (deg): 0=+y, 90=+x
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% Values computed at initialization
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P_TX_dBm = NaN; % Transmit power (dBm)
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N = NaN; % Thermal noise
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@@ -11,11 +11,15 @@ function value = transmitterGain(obj, t, a)
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error("t and a must be the same size");
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end
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n_t = 4; % tilt beamwidth (higher = narrower beam)
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n_a = 4; % azimuth rolloff sharpness (higher = more directional)
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n = 4; % beamwidth exponent (higher = narrower beam)
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% Elevation: cardioid family, null at zenith (t=180°), peak at nadir (t=0°)
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% Azimuth: cardioid family, peak at a=0° (+y), null at a=180° (-y)
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value = 10 .* n_t .* log10((1 + cosd(t)) ./ 2) + ...
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10 .* n_a .* log10((0.5 + 0.5 .* cosd(a)));
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% Angular offset from boresight via spherical law of cosines
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% Convention: t=0° nadir, t=90° horizon; a=0° +y, a=90° +x
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cos_theta = sind(obj.boresightTilt) .* sind(t) .* cosd(a - obj.boresightAzimuth) + ...
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cosd(obj.boresightTilt) .* cosd(t);
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cos_theta = max(-1, min(1, cos_theta)); % clamp for numerical safety
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theta = acosd(cos_theta);
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% Cardioid family: peak at boresight (theta=0), null opposite (theta=180°)
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value = 10 .* n .* log10((1 + cosd(theta)) ./ 2);
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end
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