Abstract
This paper describes a fast method for detecting the phase difference of two M-arrays by use of property of M-array that there exist only one all-zero column for even-order M-arrays. Two methods for this purpose are proposed here; one is the row coincidence method, and the other is the row correlation method. In the row coincidence method, the difference of all-zero columns of the two M-arrays is firstly detected, and the columns of one of the M-arrays are cyclically shifted to the right so as the all-zero rows of both M-arrays coincide. Then the rows of one of the M-arrays are shifted cyclically to the down side, until both M-arrays become the same. In order to reduce the effect of noise, the authors also propose the row correlation method in which correlation method is used as the means of detecting the coincidence of row in an noisy environment. Simulation results show that both the row coincidence method and the row correlation method are much faster than the conventional two dimensional correlation method. Therefore, this method would find wide applications in the signal or image processing in which a phase difference of M-array is to be calculated with less computing time and robustness to noise.
