Abstract
Algorithms for computing complex elementary functions based on the
modified signed-digit (MSD) number system representations are
proposed. An arithmetic unit that performs parallel one-step
addition (subtraction), multiplication, and division is proposed to
achieve the computation of complex functions such as the square-root,
logarithm, exponential, and other related operations. An
optoelectronic correlator-based architecture is suggested for
implementing the proposed MSD algorithms to compute the above-mentioned
elementary functions. We utilized the symbolic substitution
technique to reduce the number of computation rules
involved.
© 2001 Optical Society of America
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