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- W2989969296 abstract "The standard digital or binary number representation provides an exponential trade-off between the number of digits used (i.e., number of parallel optical channels required to represent one number) and the accuracy of computation achievable. For example, an 8-bit number uses eight binary optical channels but has a potential for resolving 256 (2 8 ) distinct levels. Such a trade-off, however, comes at the expense of requiring nonmonotonically nonlinear operations for performing the linear arithmetic operations of multiplications and additions. Here we propose a simple redundant number representation that will provide only a trade-off between the number of channels and the achievable accuracy while keeping the operations of multiplications of addition and multiplication in a simple linear form. Such a representation can be described by the following equation: Where a is the analog number, a represents a digit that can take on a value less than or equal to m , giving the dynamic range of the representation to be ( n × m ). We outline several different schemes for optically implementing multiplication and analyze their performance via computer simulations." @default.
- W2989969296 created "2019-12-05" @default.
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- W2989969296 date "1986-01-01" @default.
- W2989969296 modified "2023-09-25" @default.
- W2989969296 title "Redundant number representation for optical computing" @default.
- W2989969296 doi "https://doi.org/10.1364/oam.1986.ml8" @default.
- W2989969296 hasPublicationYear "1986" @default.
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