Algorithms for optoelectronics implementation of trigonometric functions based on modified signed-digit numbers

An optoelectronic correlator based architecture is proposed for implementing algorithms to compute trigonometric elementary functions such as sine, cosine, and tangent. We utilized the symbolic substitution technique to reduce the number of the computation rules involved. The modified signed-digit (MSD) number system representation is used for computing these complex elementary functions. An arithmetic unit that performs parallel one-step addition (subtraction), multiplication, division, and square root is proposed to perform the computation of trigonometric elementary functions.