&lt;title&gt;Accurate Numerical Computation By Optical Convolution&lt;/title&gt;

Casasent, David P.; Neft, Deborah; rlotto, Mark Ca

doi:10.1117/12.958883

Cited by 37 publications

(8 citation statements)

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“…7,11,[13][14][15][16][17][18][19] While the speed with which such analog operations can be performed is a great advantage of optical vector-matrix multiplier, the achievable numerical accuracy is rather low due to the noise sensitivity of analog number representations. Despite the fact that additional preprocessing and postprocessing phases are required at the cost of speed, optical processors using digital number representations are promising to achieve high-accuracy and highspeed vector-matrix multiplication.…”

Section: Discussionmentioning

confidence: 99%

Efficient two-step digit-set-restricted modified signed-digit algorithm based on optoelectronic shared content-addressable memory

Qian

Karim

2005

Opt. Eng

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Abstract.A two-step digit-set-restricted modified signed-digit ͑MSD͒ adder based on symbolic substitution is presented. In the proposed addition algorithm, carry propagation is avoided by using reference digits to restrict the intermediate MSD carry and sum digits into ͕1 ,0͖ and ͕0,1͖, respectively. The algorithm requires only 12 minterms to generate the final results, and no complementarity operations for nonzero outputs are involved, which simplifies the system complexity significantly. An optoelectronic shared content-addressable memory based on an incoherent correlator is used for experimental demonstration.

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Section: Discussionmentioning

confidence: 99%

Efficient two-step digit-set-restricted modified signed-digit algorithm based on optoelectronic shared content-addressable memory

Qian

Karim

2005

Opt. Eng

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“…To solve the carry problem people propose diversified non-binary number system like residue number system, multiple-valued fixed-radix number system, signed digit number system [3][4][5]. MSD (modified signed digit number) is the subset of signed digit number system.…”

Section: Introductionmentioning

confidence: 99%

MSD Addition by Ternary Logic Optical Processor

et al. 2009

2009 International Conference on Computational Intelligence and Software Engineering

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Ternary logic optical processor which is completed according to Decreased-Radix Design Principle (DRDP) can construct all dualistic ternary logic operators (add up to19683 kinds). There is no carry propagation of addition of Modified Signed Digit (MSD) representation and the computation only needs several dualistic ternary logical transformations. Thus, MSD addition completed by ternary logic optical processor can be fully-parallel and no carry. The principle, working steps and experiment results of this new method are discussed.

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“…The OLAP discussed here has been detailed in previous literature [2][3][4]. To achieve high accuracy, we use the digital multiplication by analog convolution (DMAC) algorithm [5][6][7] with multi-level encoding [2] and a negative base [8] to handle bipolar numbers.…”

Section: Introductionmentioning

confidence: 99%

Error-source effects on the performance of direct and iterative algorithms on an optical matrix-vector processor

Perlee

Casasent

1990

SPIE Proceedings

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Error sources in an optical matrix-vector processor are analyzed in terms of their effect on the performance of the algorithms used to solve a set of nonlinear and linear aglebraic equations. A direct and an iterative algorithm are used to solve a nonlinear time-dependent case-study from computational fluid dynamics. A simulator which emulates the data flow and number representation of the OLAP is used to studs? these error effects. The ability of each algorithm to tolerate or correct the error sources is quantified. These results are extended to the general case of solving nonlinear and linear algebraic equations on the optical system.

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<title>Accurate Numerical Computation By Optical Convolution</title>

Cited by 37 publications

References 0 publications

Efficient two-step digit-set-restricted modified signed-digit algorithm based on optoelectronic shared content-addressable memory

Efficient two-step digit-set-restricted modified signed-digit algorithm based on optoelectronic shared content-addressable memory

MSD Addition by Ternary Logic Optical Processor

Error-source effects on the performance of direct and iterative algorithms on an optical matrix-vector processor

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