Under the conditons that the signal and noise are two independent

mean squa-fe differentiable two-dimensional homogeneus Gaussian random fields and the mathematical expectation of noise is zero

the three important properties of mean squared difference template matching systems are proved

and the local accuracy estimation formulas of the contain-wise and pass-wise two matching manners are derived. When the integral distance

autocorrelation functions of signal and noise are known

the local accuracy for a system can be analytically computed and evaluated.