A new design technique for optimum logic filter using matrix type-B error correcting coding

A brief examination in digital communications gives that the receiver has to decide and distinguish between a number of discrete signals in background noise. For this case an optimum filter is designed and some techniques are developed as f.i. the MAP (Maximum a posteriori probability), the maximum likelihood - ML, the matched filter, the Kalman filter, etc. In this paper we introduce a new design technique, which we called the optimum logic filter (OLF), using sophisticated matrix type-B error correcting coding.