Distance Measurement using an Infrared Distance Sensor Based on Lagrange and Newton Interpolating Polynomials

Distance Measurement using an Infrared Distance Sensor Based on Lagrange and Newton Interpolating Polynomials


Rawaz H. Abdullah


Dept. of Communication Engineering, Technical College of Engineering, Sulaimani Polytechnic University, Sulaimani - Kurdistan Region,  Iraq.

E-mail: rawaz.abdullah@spu.edu.iq




Article info

Original: 20 Feb. 2015
Revised: 8 Apr. 2015
Accepted: 19 Apr. 2015
Published online:  20 Sep. 2015  





Key Words:
Infrared (IR) distance measuring sensor, 
distance measurement, 
optical triangulation method, 
Newton and Lagrange interpolating polynomials, 
error estimation.



Abstract
This paper presents two models for distance measurement to a very popular infrared (IR) distance measuring sensor from SHARP, which has applications in projects that require cheap and accurate distance measurements. The sensor outputs a voltage at any distance (with a range from 10 cm to 80 cm) from an object based on the optical triangulation method. The variety of the reflectivity of the object, the environmental temperature and the operating duration are not influenced easily to the distance detection. The presented models in this paper are based on Newton and Lagrange interpolating polynomials, which require a few data points to compute the polynomial equations and thereby the distance from any object could be computed easily. The expected errors in distance estimation for the two proposed models are analyzed. As it is evident from the results, the two models could be used easily with insignificant amount of error.








Ċ
Kewan Omer,
Oct 5, 2015, 12:52 AM