Algorithm for 2D-data array addition using digit-decomposition-plane representation

الملخص EN

In this paper, optical scalable parallel and high-speed 2D data array adder for trinary signeddigit (TSD) number is proposed.

The digitdecomposition- plane (DDP) coding method is used to represent the 2D TSD data arrays.

The algorithm performs parallel TSD addition in constant time independent of the size of the TSD data arrays.

The design describes methodology to involve two-step TSD adder.

The TSD addition is expressed with several combination logic formulas that are newly derived.

Optical implementation with classical optical elements is suggested for proposed TSD adder.

Preliminary demonstration example is also described.