Optimal Threshold Value of Digital Dynamic System

Taguchi digital dynamic system are problems in which both the input signal and the output responses have values of either 0 or 1 with two misclassification probabilities. Taguchi proposed a two-step procedure for the digital dynamic system under an equalized error rates model and maximized the standardized SN ratio to achieve robust design. This paper proposes a quality loss model to determine the optimal threshold value of a digital dynamic system based on normally distributed data with unequal loss coefficients. We varied the variances of random variable X1 with increment of 0.10 using Excel software. The results are compared with the threshold values obtained by using Taguchi method. When the two loss coefficients and variances of two populations are equal, the optimal threshold value is the same as the threshold value provided by Taguchi method. The maximum error of optimal threshold value is 0.03 compared with actual threshold value.