Positioning Error over Time to IMU Drift Rate Converter
This tool estimates the average **accelerometer bias drift rate** of an IMU (Inertial Measurement Unit) that would lead to a given positioning error over a specific time period. This is a simplified model for understanding error accumulation.
Important Disclaimer: This tool uses a simplified model. Real-world IMU drift is complex, involving various error sources (gyroscope bias, noise, temperature effects, etc.) and complex integration. This calculation provides an **average accelerometer bias** that *could* explain the observed positioning error under idealized conditions where it's the dominant error source. It is **NOT** a precise measurement of all IMU drift.
(Based on ${positioningError} ${errorUnit} error over ${timeElapsed} ${timeUnit}.)
`; downloadPdfButton.style.display = 'block'; // Store data for PDF report resultArea.dataset.positioningError = positioningError; resultArea.dataset.errorUnit = errorUnit; resultArea.dataset.timeElapsed = timeElapsed; resultArea.dataset.timeUnit = timeUnit; resultArea.dataset.errorInMeters = errorInMeters.toPrecision(6); resultArea.dataset.timeInSeconds = timeInSeconds.toPrecision(6); resultArea.dataset.accelerometerBiasMs2 = accelerometerBiasMs2.toPrecision(6); } /** * Clears all inputs and results. */ function clearAll() { const positioningErrorInput = document.getElementById('positioningError'); const errorUnitSelect = document.getElementById('errorUnit'); const timeElapsedInput = document.getElementById('timeElapsed'); const timeUnitSelect = document.getElementById('timeUnit'); const resultArea = document.getElementById('resultArea'); const downloadPdfButton = document.getElementById('downloadPdfButton'); const errorMessageDiv = document.getElementById('errorMessage'); if (positioningErrorInput) { positioningErrorInput.value = ''; } if (errorUnitSelect) { errorUnitSelect.value = 'meters'; } if (timeElapsedInput) { timeElapsedInput.value = ''; } if (timeUnitSelect) { timeUnitSelect.value = 'seconds'; } if (resultArea) { resultArea.style.display = 'none'; resultArea.innerHTML = ''; // Clear stored data for PDF delete resultArea.dataset.positioningError; delete resultArea.dataset.errorUnit; delete resultArea.dataset.timeElapsed; delete resultArea.dataset.timeUnit; delete resultArea.dataset.errorInMeters; delete resultArea.dataset.timeInSeconds; delete resultArea.dataset.accelerometerBiasMs2; } if (downloadPdfButton) { downloadPdfButton.style.display = 'none'; } if (errorMessageDiv) { errorMessageDiv.style.display = 'none'; } } /** * Generates a PDF report of the IMU Drift Rate estimation. */ function generatePdfReport() { try { // Check if jsPDF library is loaded if (typeof window.jspdf === 'undefined' || typeof window.jspdf.jsPDF === 'undefined') { console.error('jsPDF library not loaded. Cannot generate PDF.'); showMessage('PDF generation failed: jspdf library not loaded. Please try again or check your internet connection.', 'error'); return; } const { jsPDF } = window.jspdf; const doc = new jsPDF(); const resultArea = document.getElementById('resultArea'); // Retrieve stored data const positioningError = resultArea.dataset.positioningError || 'N/A'; const errorUnit = resultArea.dataset.errorUnit || 'N/A'; const timeElapsed = resultArea.dataset.timeElapsed || 'N/A'; const timeUnit = resultArea.dataset.timeUnit || 'N/A'; const errorInMeters = resultArea.dataset.errorInMeters || 'N/A'; const timeInSeconds = resultArea.dataset.timeInSeconds || 'N/A'; const accelerometerBiasMs2 = resultArea.dataset.accelerometerBiasMs2 || 'N/A'; const generationDate = new Date().toLocaleString(); if (positioningError === 'N/A') { showMessage('No calculation data available to generate a PDF. Please perform a calculation first.', 'info'); return; } let yOffset = 20; // Title doc.setFontSize(22); doc.setTextColor(44, 62, 80); doc.text("IMU Drift Rate Estimation Report", 105, yOffset, { align: 'center' }); yOffset += 15; // Date Generated doc.setFontSize(10); doc.setTextColor(100, 100, 100); doc.text(`Report Generated: ${generationDate}`, 105, yOffset, { align: 'center' }); yOffset += 20; // Input Details doc.setFontSize(14); doc.setTextColor(51, 51, 51); doc.text(`Input Positioning Error: ${positioningError} ${errorUnit}`, 20, yOffset); yOffset += 10; doc.text(`Input Time Elapsed: ${timeElapsed} ${timeUnit}`, 20, yOffset); yOffset += 10; doc.text(`Converted Error (meters): ${parseFloat(errorInMeters).toFixed(4)} m`, 20, yOffset); yOffset += 10; doc.text(`Converted Time (seconds): ${parseFloat(timeInSeconds).toFixed(4)} s`, 20, yOffset); yOffset += 20; // Result Section doc.setFontSize(16); doc.setTextColor(46, 204, 113); /* Green */ doc.text("Estimated Average Accelerometer Bias Drift Rate:", 20, yOffset); yOffset += 10; doc.setFontSize(24); doc.text(`${parseFloat(accelerometerBiasMs2).toFixed(4)} m/s²`, 25, yOffset); yOffset += 15; doc.setFontSize(14); doc.text(`Equivalent: ${(parseFloat(accelerometerBiasMs2) * 1000).toFixed(4)} mm/s²`, 25, yOffset); yOffset += 20; // Explanation of Model doc.setFontSize(12); doc.setTextColor(80, 80, 80); doc.text("Model Explanation:", 20, yOffset); yOffset += 7; const explanationText = `This report estimates the average accelerometer bias (constant acceleration error) required to produce the observed positioning error over the given time. The formula used is derived from basic kinematics, assuming the positioning error ($P_e$) accumulates quadratically due to a constant accelerometer bias ($a_{bias}$) over time ($t$): $P_e = 0.5 \\times a_{bias} \\times t^2$. Rearranging this gives: $a_{bias} = (2 \\times P_e) / t^2$.`; const splitExplanation = doc.splitTextToSize(explanationText, 170); doc.text(splitExplanation, 25, yOffset); yOffset += (splitExplanation.length * 7) + 15; // Disclaimer on Limitations doc.setFontSize(10); doc.setTextColor(150, 150, 150); const disclaimerText = "Disclaimer: This is a highly simplified model. Actual IMU drift is a complex phenomenon influenced by various error sources (e.g., gyroscope bias, sensor noise, temperature variations, calibration errors, non-linearities) and sophisticated data integration algorithms. This tool provides a conceptual estimation of one possible contributing factor (accelerometer bias) and should not be used for precise engineering or scientific analysis of IMU performance."; const splitDisclaimer = doc.splitTextToSize(disclaimerText, 170); doc.text(splitDisclaimer, 20, yOffset); yOffset += (splitDisclaimer.length * 6) + 15; // Footer doc.setFontSize(9); doc.setTextColor(150, 150, 150); doc.text(`Report Generated by IMU Drift Rate Converter Tool`, 20, doc.internal.pageSize.height - 15); doc.text("Page 1", doc.internal.pageSize.width - 20, doc.internal.pageSize.height - 15, { align: 'right' }); // Basic page number doc.save("IMU_Drift_Rate_Report.pdf"); } catch (error) { console.error('Error generating PDF:', error); showMessage(`PDF generation failed: ${error.message}. Please check your browser's console for more details.`, 'error'); } }