Optical RNS adder and multiplier

Bakhtiar, Leily A.; Yaghoubi, Elham; Hamidi, Seyedeh Mehri; Hosseinzadeh, Mehdi

doi:10.1504/ijcat.2015.071421

Cited by 8 publications

(1 citation statement)

References 15 publications

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“…Horrigan and Stoner explored the representation of residues by the phase or polarization angle of light, capitalizing on the cyclic nature of residue additions . An alternative approach proposes representing residues based on pulse-position coding, considering the challenges of using analog devices for representing discrete RNS values. ,, This method can be implemented with Microlens arrays (MLA), optical gratings, and 2 × 2 switches utilizing various techniques (microring resonators, all optical switches, hybrid plasmonic photonic switches, etc. ).…”

Section: Introductionmentioning

confidence: 99%

Photonics Multiply-Accumulation Computations System Based on Residue Arithmetic

Ma,

Peng,

Peserico

et al. 2024

ACS Photonics

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With the explosion of neural network applications and the linked need to perform an enormous amount of mathematical operations, traditional computing systems faced challenges in terms of speed and power consumption. Photonic integrated circuits (PICs), characterized by low latency, low energy consumption, and high bandwidth data processing capabilities, are attracting more and more attention in the advancing neural network research field. However, current photonic solutions require the use of electrical digital-to-analog (DACs) and analog-to-digital (ADCs) converters, which are significantly energy consumption and weaken the inherent advantages of PICs. In this study, we propose and demonstrate a novel approach, a silicon photonics circuit based on residue arithmetic which allows a faster computation of large integer numbers. By employing a specialized routing architecture, the circuit facilitates one-hot data encoding, obviating the need for DACs and ADCs. Experimental evidence substantiates that the power differential between high and low levels exceeds 6 dB in the worst scenario, with an average higher than 10 dB. Furthermore, the introduction of wavelength-division multiplexing can also achieve a 6 dB high/low difference across multiple wavelengths, elucidating the vast potential of PICs for computational applications.

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