1 March 1999 Parallel optoelectronic trinary signed-digit division
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Optical Engineering, 38(3), (1999). doi:10.1117/1.602120
Abstract
The trinary signed-digit (TSD) number system has been found to be very useful for parallel addition and subtraction of any arbitrary length operands in constant time. Using the TSD addition and multiplication modules as the basic building blocks, we develop an efficient algorithm for performing parallel TSD division in constant time. The proposed division technique uses one TSD subtraction and two TSD multiplication steps. An optoelectronic correlator based architecture is suggested for implementation of the proposed TSD division algorithm, which fully exploits the parallelism and high processing speed of optics. An efficient spatial encoding scheme is used to ensure better utilization of space bandwidth product of the spatial light modulators used in the optoelectronic implementation.
Mohammad S. Alam, "Parallel optoelectronic trinary signed-digit division," Optical Engineering 38(3), (1 March 1999). http://dx.doi.org/10.1117/1.602120
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KEYWORDS
Optoelectronics

Optical correlators

Algorithm development

Computing systems

Computer programming

Symbolic substitution

Matrices

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