TY - JOUR
T1 - A memoryless reverse converter for the 4-moduli superset {2n - 1, 2n, 2n + 1, 2n+1 - 1}
AU - Vinod, A. P.
AU - Benjamin Premkumar, A.
PY - 2000
Y1 - 2000
N2 - This paper presents a residue number system to binary converter in the four moduli set {2n - 1, 2n, 2n + 1, 2n+1 - 1}, valid for even values of n. This moduli set is an extension of the popular set {2n - 1, 2n, 2n + 1}. The number theoretic properties of the moduli set of the form 2n ± 1 are exploited to design the converter. The main challenge of dealing with fractions in Residue Number System is overcome by using the fraction compensation technique. A hardware implementation using only adders is also proposed. When compared to the common three moduli reverse converters, this four moduli converter offers a larger dynamic range and higher parallelism, which makes it useful for high performance computing.
AB - This paper presents a residue number system to binary converter in the four moduli set {2n - 1, 2n, 2n + 1, 2n+1 - 1}, valid for even values of n. This moduli set is an extension of the popular set {2n - 1, 2n, 2n + 1}. The number theoretic properties of the moduli set of the form 2n ± 1 are exploited to design the converter. The main challenge of dealing with fractions in Residue Number System is overcome by using the fraction compensation technique. A hardware implementation using only adders is also proposed. When compared to the common three moduli reverse converters, this four moduli converter offers a larger dynamic range and higher parallelism, which makes it useful for high performance computing.
UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000090137700006
UR - https://openalex.org/W1989037528
U2 - 10.1016/s0218-1266(00)00004-4
DO - 10.1016/s0218-1266(00)00004-4
M3 - Journal Article
SN - 0218-1266
VL - 10
SP - 85
EP - 99
JO - Journal of Circuits, Systems and Computers
JF - Journal of Circuits, Systems and Computers
IS - 1-2
ER -