A Novel Total Sum Vector Approach for Embedded-Based Fall Monitoring System

摘要

The root-sum-square is a common/unction to compute total sum vectors in the fall monitoring system, where the vectors are the 3 axis acceleration components. However, the operation is difficult to implement on a microcontroller based system due to complexity of square root extraction. This paper presents an algorithm for calculating a square root result, which is adapted from a reciprocal square root operation. The proposed algorithm utilizes the modified Newton-Raphson iterative method in order to employ basic arithmetic operators such as an adder, a multiplier and a shifter. The operations are reusable with a sum-square junction for optimizing resource. The numerical tests and accuracy of the proposed algorithm are demonstrated. Results show that the proposed algorithm is highly suitable for fall monitoring based on embedded system.