Parallel computation of complex elementary functions using quaternary signed-digit arithmetic

A variety of algorithms for computing complex elementary functions based on the quaternary signed-digit (QSD) number system are proposed. An arithmetic unit that performs parallel one-step addition (subtraction), multiplication, and division is proposed to perform the computations of elementary func...

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Bibliographic Details
Published in:Optics and laser technology 2000, Vol.32 (6), p.391-399
Main Authors: Cherri, A.K., Alam, M.S.
Format: Article
Language:English
Subjects:
Multiplicative normalization
Parallel algorithms
Signed-digit
Symbolic substitution
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Summary:A variety of algorithms for computing complex elementary functions based on the quaternary signed-digit (QSD) number system are proposed. An arithmetic unit that performs parallel one-step addition (subtraction), multiplication, and division is proposed to perform the computations of elementary functions such as square root, logarithmic, exponential, and other related functions. An optoelectronic-correlator-based architecture is suggested for implementing the proposed QSD elementary function algorithms. We used the symbolic substitution technique to reduce the number of the computation rules involved.
ISSN:0030-3992
1879-2545
DOI:10.1016/S0030-3992(00)00103-1