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A novel sign detection method in residue number system based on Chinese remainder theorem with fractional values

A novel sign detection method in residue number system based on Chinese remainder theorem with fractional values

Sign detection is a non-modular operation in the residue number system (RNS). It requires the calculation of the number positional characteristic represented in the RNS. This work proposes a new sign detection method based on the Chinese Remainder Theorem (CRT) with fractional values implemented usi...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Lyakhov, P. A., Ляхов, П. А., Bergerman, M. V., Бергерман, М. В., Abdulkadirov, R. I., Абдулкадиров, Р. И., Abdulsalyamova, A. S., Абдулсалямова, А. Ш., Nagornov, N. N., Нагорнов, Н. Н.
التنسيق: Статья
اللغة:English
منشور في: 2023
الموضوعات:
Chinese remainder theorem with fraction values
Sign detection
Residue number system (RNS)
Non-modular operation
الوصول للمادة أونلاين:https://dspace.ncfu.ru/handle/20.500.12258/25808
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الوصف
الملخص:Sign detection is a non-modular operation in the residue number system (RNS). It requires the calculation of the number positional characteristic represented in the RNS. This work proposes a new sign detection method based on the Chinese Remainder Theorem (CRT) with fractional values implemented using the Wallace tree and the modified Kogge-Stone adder. Hardware modelling on FPGA for the proposed method shows that it provides 1.3 – 36.3 times less hardware costs than the other state-of-the-art (SOTA) methods, and for ASIC modelling the proposed method provides 1.14 – 35.74 times less hardware costs than the other SOTA methods. The presented sign detection method can be helpful in RNS-based devices in implementing comparison and division operations, providing an extension of the RNS application in areas such as cryptography, machine learning, and digital signal processing.

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