Principle and design of ternary optical accumulator implementing M-k-B addition

Shen, Yunfu; Jiang, Benpeng; Yi, Jin; Ouyang, Shan; Peng, Junjie

doi:10.1117/1.oe.53.9.095108

Cited by 11 publications

(5 citation statements)

References 27 publications

(25 reference statements)

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“…The experimental case consists of four simple data type calculations in the program, namely computing f 1 = a + b, f 2 = c − d, f 3 = e ∧ g, and f 4 = h ∨ i. The bit lengths of the independent variables a, b, c, d, e, g, h, i are 16,16,12,12,19,19,25,25, and f 1 has 10,000 pairs of data, f 2 has 4,990 pairs of data, f 3 and f 4 each have 5,000 pairs of data. It should be noted that the data processed by the ternary optical processor is converted from SZG file to MSD numbers by the task management system [15].…”

Section: Experimental Evaluation Of Task Processing Efficiency Based ...mentioning

confidence: 99%

“…1, the ternary optical processor can be constructed. According totheory of decrease-radix design, when constructing a specific logic operator, the first step is to select the pixels of each type of main optical path, and then provide the k1, k2, and k3 bits in the reconstruction instruction for these pixels [25][26][27][28][29][30]. After the computation task is completed, the logic operator will release all occupied microcells so that they can be reused.…”

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confidence: 99%

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Key technologies for task processing in ternary optical computer

Li,

Yang,

et al. 2024

Preprint

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This paper introduces a key technology for task processing in ternary optical computer(TOC) - the operation-data file (SZG file). Firstly, we analyze and summarize the data processing advantages of ternary optical computer. Then, we propose the design principles of SZG file and provide a detailed explanation of the significant role played by SZG file in the task processing process. Next, we will propose the design principles of SZG file and provide a detailed explanation of the significant role played by SZG file in the task processing process. Furthermore, we will discuss how to construct a collaborative task processing mechanism based on SZG file, focusing on the format of SZG file and the task classification strategy based on SZG file. Finally, we will conduct experimental testing on the ternary optical computer platform using a specific example. Tasks can be executed correctly in parallel on ternary optical computer, successfully coordinating the differences in task processing characteristics between electronic computers and ternary optical computer. These will establish a bridge for collaborative work between electronic computers and ternary optical computer, while also providing new ideas for other emerging computing systems in terms of task processing methods.

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Section: Experimental Evaluation Of Task Processing Efficiency Based ...mentioning

confidence: 99%

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confidence: 99%

Key technologies for task processing in ternary optical computer

Li,

Yang,

et al. 2024

Preprint

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“…Generally, it takes a few pixels on a flat image to make up a single bit of optical information [13], but optical array devices have many pixels, thus creating the characteristic of a large number of bits of optical computer data. The current experimental system of ternary optical processors constructed with liquid crystal dot matrix screens can have 16384 bits of data, which far exceeds the number of data bits of electronic computers [9], [14]- [16].…”

Section: Related Work a Ternary Optical Processormentioning

confidence: 99%

Theoretical Basis and Implementation Mechanism of the Programming Platform for Ternary Optical Computer

Wang²,

Wang³

et al. 2022

IEEE Access

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This paper presents a method for building a programming platform for ternary optical computer(TOC). Firstly, the reasons why the existing programming platform can not be directly applied to the ternary optical computer are analyzed. Then, the theoretical basis and core technologies for building the programming platform of the ternary optical computer are given, including: building a model-simple structured data type computer to express the application characteristics of the ternary optical computer, building an operation-data file containing data and computational requirements, expanding the operationdata file transfer instructions. According to our proposed theory, the implementation mechanism of the TOC programming platform is constructed. Finally, the effectiveness of the programming platform is verified by experiments. The programming platform simplifies the application of the TOC and bridges the gap between the user and the TOC.INDEX TERMS Ternary optical computer, programming platform, operation-data file, ternary optical processor.

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“…According to the value of the radix, the signed-digit representation contains the subsets of MSD number [5], [8], [9], [10], [11], trinary [2], [3], [12], [13], quaternary [14], [15], [16] and negabinary signed-digit number [17], and so on. According to the steps of optical computing, the MSD additions are now usually classified in terms of the number of steps involved, i.e., three-step [5], [8], [9], [10], [11], twostep [12], [13], [14], [18], [19], [20] and one-step algorithms [17], [21], [22], [23], [24]. These two-step additions or onestep additions generally use more complex optical structures or focus on some specific data sets.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of Parallel Carry-Free Three-Step MSD Additions

et al. 2021

Self Cite

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Since the modified signed digital (MSD) redundant representation was proposed in the 1950s, lots of achievements have been made in MSD arithmetic. By inspecting the processes of the parallel carryfree three-step MSD addition, the transformations for such additions are studied in detail in this paper. The characteristics for parallel carry-free three-step MSD addition are proposed and the correctness is proved. Then seven groups of transformations that have characteristics of three-step MSD addition are presented. These groups of transformations are dual or self-dual, and some of them have simpler forms than the typical transformations consisting of T, W, T , W , T 2. The general design mode of parallel carryfree three-step MSD additions and its applications in ternary optical computer (TOC) are further proposed. At the same time, single adder (multi-adder) reconstruction mode, processor bits allocation strategy, and light path diagrams are given. The optical experiments of MSD additions for three groups of MSD addition transformations show that the results of these transformations are correct. This work provides the theoretical basis for the design of the ternary optical computer adder.

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Principle and design of ternary optical accumulator implementing M-k-B addition

Cited by 11 publications

References 27 publications

Key technologies for task processing in ternary optical computer

Key technologies for task processing in ternary optical computer

Theoretical Basis and Implementation Mechanism of the Programming Platform for Ternary Optical Computer

Characteristics of Parallel Carry-Free Three-Step MSD Additions

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