Design of Reverse Converters for a New Flexible RNS Five-Moduli Set $$\{ 2^k, 2^n-1, 2^n+1, 2^{n+1}-1, 2^{n-1}-1 \}$$ { 2 k , 2 n - 1 , 2 n + 1 , 2 n + 1 - 1 , 2 n - 1 - 1 } (n Even)
نویسندگان
چکیده
منابع مشابه
RNS - to - Binary Converter for New Four - Moduli Set { 2 n − 1 , 2 n , 2 n + 1 − 1 , 2 n + 1 + 2 n − 1 } ∗
In this paper, a new four-moduli set {2n − 1, 2n, 2n+1 − 1, 2n+1 + 2n − 1} is proposed. The new moduli set choice because of a fast modulo 2n+1 + 2n − 1 adder has been proposed in literature. In order to work out the reverse converter for this moduli set, we introduce the technique for modulo 2n+1+2n−1 of a negative number and modulo 2n+1+2n−1 multiplication of a residue number by 2 and design ...
متن کاملEfficient Reverse Converter for Three Modules Set {2^n-1,2^(n+1)-1,2^n} in Multi-Part RNS
Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...
متن کاملEfficient Reverse Converter for Three Modules Set {2^n-1,2^(n+1)-1,2^n} in Multi-Part RNS
Residue Number System is a numerical system which arithmetic operations are performed parallelly. One of the main factors that affects the system’s performance is the complexity of reverse converter. It should be noted that the complexity of this part should not affect the earned speed of parallelly performed arithmetic unit. Therefore in this paper a high speed converter for moduli set {2n-1, ...
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This paper proposes a fast Mixed Radix Conversion based reverse converter for the recently proposed moduli set ?{2?^(2n+1)-1,2^n,2^2n-1}. It shows that the computation of multiplicative inverses could be eliminated from the conversion process and presents a low complexity and modulo operation free implementation. Theoretical analysis shows that the proposed scheme outperforms all state of the a...
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We here consider Elementary Net Systems (ENI-systems) with inhibitor arcs executed according to the semantics, and transition systems generated by them (TSENI). The relationship between nets and their transition systems is established via the notion of a region. We introduce morphisms both for the ENI-systems, and for the TSENI transition systems. We then de ne the category of ENI-systems ( ), ...
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ژورنال
عنوان ژورنال: Circuits, Systems, and Signal Processing
سال: 2017
ISSN: 0278-081X,1531-5878
DOI: 10.1007/s00034-017-0530-9