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Copy pathperformanceAnalysis.m
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295 lines (240 loc) · 10.2 KB
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function performanceAnalysis(txPositions, rxPosition, propagationLoss, maxCorr, estimatedPosition, positionError, roomDims, config)
%PERFORMANCEANALYSIS Analyze coverage, geometry, and expected accuracy
% Inputs:
% txPositions - [N x 3] transmitter positions (m)
% rxPosition - [1 x 3] receiver true position (m)
% propagationLoss - [N x 1] per-Tx path loss (dB)
% maxCorr - [N x 1] per-Tx corr_norm quality [0,1]
% estimatedPosition - [1 x 3] estimated position (m)
% positionError - scalar horizontal error (m)
% roomDims - [L W H] environment dimensions (m)
% config - configuration struct/class
% Output: (prints summary to console)
fprintf('\n=== ENHANCED PERFORMANCE ANALYSIS ===\n');
numTx = size(txPositions, 1);
% Distance analysis
analyzeDistanceDistribution(txPositions, rxPosition, config.nearFieldRadius);
% Signal strength analysis
analyzeSignalStrength(propagationLoss, numTx);
% Geometry analysis with error handling
try
analyzeGeometry(txPositions, rxPosition);
catch ME
fprintf('Geometry analysis failed: %s\n', ME.message);
fprintf('Skipping geometry analysis...\n');
end
% Performance prediction with error handling
try
predictPerformance(txPositions, rxPosition, roomDims);
catch ME
fprintf('Performance prediction failed: %s\n', ME.message);
fprintf('Skipping performance prediction...\n');
end
% Coverage analysis
analyzeCoverage(txPositions, rxPosition, config.nearFieldRadius, numTx);
% Improvement suggestions intentionally omitted from console output
end
function analyzeDistanceDistribution(txPositions, rxPosition, nearFieldRadius)
%ANALYZEDISTANCEDISTRIBUTION Analyze transmitter distance distribution
numTx = size(txPositions, 1);
% Calculate 3D distances from receiver to each transmitter
distances = vecnorm(txPositions - rxPosition, 2, 2);
nearFieldTx = sum(distances <= nearFieldRadius);
farFieldTx = sum(distances > nearFieldRadius);
fprintf('Transmitter distance distribution (3D):\n');
fprintf(' Near-field (<=%.0fm): %d transmitters\n', nearFieldRadius, nearFieldTx);
fprintf(' Far-field (>%.0fm): %d transmitters\n', nearFieldRadius, farFieldTx);
fprintf(' Closest transmitter: %.1fm\n', min(distances));
fprintf(' Furthest transmitter: %.1fm\n', max(distances));
fprintf(' Average distance: %.1fm\n', mean(distances));
fprintf(' Distance std deviation: %.1fm\n', std(distances));
end
function analyzeSignalStrength(propagationLoss, numTx)
%ANALYZESIGNALSTRENGTH Analyze signal strength characteristics
finiteMask = isfinite(propagationLoss);
plFinite = propagationLoss(finiteMask);
if isempty(plFinite)
avgPathLoss = NaN; minPathLoss = NaN; maxPathLoss = NaN;
strongSignals = 0; weakSignals = 0; count = 0;
else
avgPathLoss = mean(plFinite);
minPathLoss = min(plFinite);
maxPathLoss = max(plFinite);
strongSignals = sum(plFinite <= 85);
weakSignals = sum(plFinite > 95);
count = numel(plFinite);
end
fprintf('Signal strength analysis:\n');
fprintf(' Average path loss: %.1f dB\n', avgPathLoss);
fprintf(' Path loss range: %.1f - %.1f dB\n', minPathLoss, maxPathLoss);
if count>0
fprintf(' Strong signals (<=85 dB): %d/%d (%.1f%%)\n', strongSignals, numTx, strongSignals/numTx*100);
fprintf(' Weak signals (>95 dB): %d/%d (%.1f%%)\n', weakSignals, numTx, weakSignals/numTx*100);
else
fprintf(' Strong signals (<=85 dB): %d/%d (%.1f%%)\n', 0, numTx, 0);
fprintf(' Weak signals (>95 dB): %d/%d (%.1f%%)\n', 0, numTx, 0);
end
% Signal quality assessment
if ~isfinite(avgPathLoss)
fprintf(' Signal quality: Unknown (insufficient data)\n');
elseif avgPathLoss < 80
fprintf(' Signal quality: Excellent\n');
elseif avgPathLoss < 90
fprintf(' Signal quality: Good\n');
elseif avgPathLoss < 100
fprintf(' Signal quality: Fair\n');
else
fprintf(' Signal quality: Poor\n');
end
end
function analyzeGeometry(txPositions, rxPosition)
%ANALYZEGEOMETRY Analyze positioning geometry
% GDOP and geometry analysis
finalGDOP = calculateGDOP(txPositions, rxPosition);
avgAngularSep = calculateAverageAngularSeparation(txPositions, rxPosition);
fprintf('Geometry analysis:\n');
fprintf(' GDOP: %.2f\n', finalGDOP);
fprintf(' Average angular separation: %.1f degrees\n', avgAngularSep);
% Geometry quality assessment
if finalGDOP < 5
fprintf(' Geometry quality: Excellent\n'); gdopRating = 1;
elseif finalGDOP < 10
fprintf(' Geometry quality: Good\n'); gdopRating = 2;
elseif finalGDOP < 20
fprintf(' Geometry quality: Fair\n'); gdopRating = 3;
else
fprintf(' Geometry quality: Poor\n'); gdopRating = 4;
end
% Angular diversity assessment
if avgAngularSep > 45
fprintf(' Angular diversity: Excellent\n'); angRating = 1;
elseif avgAngularSep > 30
fprintf(' Angular diversity: Good\n'); angRating = 2;
elseif avgAngularSep > 20
fprintf(' Angular diversity: Fair\n'); angRating = 3;
else
fprintf(' Angular diversity: Poor\n'); angRating = 4;
end
% Harmonized summary rating: choose the worse (more conservative)
ratings = { 'Excellent', 'Good', 'Fair', 'Poor' };
combined = ratings{max(gdopRating, angRating)};
fprintf(' Combined geometry rating: %s\n', combined);
end
function predictPerformance(txPositions, rxPosition, roomDims)
%PREDICTPERFORMANCE Predict positioning performance
finalGDOP = calculateGDOP(txPositions, rxPosition);
% Calculate minimum 3D distance
distances = vecnorm(txPositions - rxPosition, 2, 2);
minDistance = min(distances);
avgAngularSep = calculateAverageAngularSeparation(txPositions, rxPosition);
% Performance prediction
expectedAccuracy = predictPositioningAccuracy(finalGDOP, minDistance, avgAngularSep);
fprintf('Performance prediction:\n');
if expectedAccuracy < 3
fprintf(' Expected accuracy: %.1fm (EXCELLENT for large space)\n', expectedAccuracy);
elseif expectedAccuracy < 5
fprintf(' Expected accuracy: %.1fm (VERY GOOD for large space)\n', expectedAccuracy);
elseif expectedAccuracy < 10
fprintf(' Expected accuracy: %.1fm (GOOD for large space)\n', expectedAccuracy);
else
fprintf(' Expected accuracy: %.1fm (NEEDS OPTIMIZATION)\n', expectedAccuracy);
end
end
function analyzeCoverage(txPositions, rxPosition, nearFieldRadius, numTx)
%ANALYZECOVERAGE Analyze coverage efficiency
distances = vecnorm(txPositions - rxPosition, 2, 2);
nearFieldTx = sum(distances <= nearFieldRadius);
coverageEfficiency = nearFieldTx / numTx * 100;
fprintf('Coverage analysis:\n');
fprintf(' Coverage efficiency: %.1f%% (transmitters in near-field)\n', coverageEfficiency);
if coverageEfficiency > 70
fprintf(' Coverage quality: Excellent\n');
elseif coverageEfficiency > 50
fprintf(' Coverage quality: Good\n');
elseif coverageEfficiency > 30
fprintf(' Coverage quality: Fair\n');
else
fprintf(' Coverage quality: Poor\n');
end
end
function accuracy = predictPositioningAccuracy(gdop, minDistance, avgAngularSep)
%PREDICTPOSITIONINGACCURACY Predict positioning accuracy for large spaces
% Empirical model for large indoor spaces
% Base accuracy from GDOP
gdopFactor = gdop * 0.25; % Improved ranging accuracy assumption
% Distance factor (penalty for far transmitters)
distFactor = 1 + max(0, (minDistance - 15) / 30); % Penalty starts at 15m
% Angular diversity factor
angularFactor = 1 + max(0, (45 - avgAngularSep) / 45); % Penalty for <45 deg separation
% Large space penalty
largeSpaceFactor = 1.2; % 20% penalty for large indoor environments
accuracy = gdopFactor * distFactor * angularFactor * largeSpaceFactor;
end
%% CODE HYGIENE FIX: Replaced with the robust, correct GDOP function
function gdop = calculateGDOP(txPositions, rxPosition)
%CALCULATEGDOP FIXED - TDOA-based GDOP using proper Jacobian matrix
% This is the correct implementation based on the proper TDOA Jacobian.
% Input validation
numTx = size(txPositions, 1);
if numTx < 4
gdop = inf;
return;
end
if isempty(rxPosition) || any(~isfinite(rxPosition))
gdop = inf;
return;
end
% Ensure rxPosition is a row vector for broadcasting
if size(rxPosition, 1) > 1
rxPosition = rxPosition(:)';
end
try
% Calculate unit vectors from RX to each TX (proper TDOA geometry)
u = txPositions - rxPosition;
% Calculate distances and handle potential zeros
d = vecnorm(u, 2, 2); % Column vector of distances
% Check for degenerate cases
if any(d < 1e-6)
gdop = inf;
return;
end
% Normalize to unit vectors
u = u ./ d;
% Build proper TDOA Jacobian matrix (relative to TX1 as reference)
H = u(2:end, :) - u(1, :); % (N-1)×3 matrix
if rank(H) < 3
gdop = inf;
return;
end
% Calculate GDOP using proper TDOA covariance matrix
try
HTH = H.' * H;
if cond(HTH) > 1e12
gdop = inf;
return;
end
Q = inv(HTH);
gdop = sqrt(trace(Q));
if ~isfinite(gdop) || gdop <= 0
gdop = inf;
end
catch
gdop = inf;
end
catch
gdop = inf;
end
end
function avgAngle = calculateAverageAngularSeparation(txPositions, rxPosition)
%CALCULATEAVERAGEANGULARSEPARATION Calculate average angular separation
% This function calculates the average angular separation between
% transmitters as seen from the receiver position.
angles = [];
for i = 1:size(txPositions, 1)
angle = atan2d(txPositions(i, 2) - rxPosition(2), txPositions(i, 1) - rxPosition(1));
angles = [angles; angle];
end
angles = sort(angles);
angleDiffs = diff([angles; angles(1) + 360]);
avgAngle = mean(angleDiffs);
end