# Enhanced Dual-Axis Rotation Modulation Scheme for Inertial Navigation Systems Using a 64-Position Approach

## TL;DR

A new 64-position dual-axis rotation strategy improves inertial navigation accuracy by reducing sensor errors more effectively than existing methods.

## Contribution

An odd-symmetric dual-axis rotation strategy with optimized dwell positions that enhances error cancellation in inertial navigation systems.

## Key findings

- The 64-position scheme reduces position and velocity errors by over 60% compared to a 16-position scheme.
- Longitude, east-velocity, and yaw errors are reduced by over 30% relative to a 32-position scheme.
- Experiments confirm improved accuracy in position, velocity, and attitude for the proposed design.

## Abstract

Rotational modulation improves strapdown inertial navigation system (SINS) by periodically reorienting the inertial measurement unit (IMU) to convert slowly varying sensor errors into manageable, cancelable components. However, existing dual-axis schemes may accumulate large total rotation angles and introduce delayed error balancing, which results in non-negligible residual attitude errors and degrades real-time navigation accuracy. To overcome these limitations, we propose an odd-symmetric dual-axis rotation strategy that jointly optimizes the rotation order and dwell positions to maximize error cancellation on each axis and across axes while constraining cumulative rotation. Based on this principle, we design a 64-position rotation scheme and derive its IMU error modulation/suppression characteristics, including gyroscope drift, accelerometer bias, scale-factor errors, and misalignment (installation) errors, and we quantify their effects on attitude and velocity. Simulations show that the proposed scheme reduces position and velocity errors by more than 60% compared to a 16-position scheme, and decreases longitude error, east-velocity error, and yaw error by more than 30% relative to a 32-position scheme. Experiments further validate consistent improvements in position, velocity, and attitude accuracy, demonstrating the effectiveness of the proposed rotational design for dual-axis SINS.