[Retracted] Magnetic Matching-Aided Indoor Localization System Based on a Waist-Mounted Self-Contained Sensor Array

Algorithm 1

DTW algorithm.

Input: The one-dimensional signal and with length and , respectively.

Output: The DTW distance ;

1: Let denote the distance among pairs of values in and .

2: fordo

3: fordo

4:  d = .

5: end for

6: end for

7: Let denote DTW distance from and .

8: D = d.

9: fordo

10: D = d+D.

11: fordo

12:  D = d+D.

13:  D = d+min([D, D, D]).

14: end for

15: end for