Brousentsov's Ternary Principle, Bergman's Number System and Ternary Mirror-symmetrical Arithmetic

We consider an original ternary number system called the ternary mirror-symmetrical number system in the article. It is a synthesis of the classical ternary symmetrical number system and the number system with an irrational base called Bergman's number system. The main engineering result is a development of an original matrix and pipeline ternary mirror-symmetrical adder, which can be used for fast ‘pipeline’ addition and multiplication in digital signal processors.