In this paper, investigation is performed on the design of efficient modulo 2 n+ 1 adders,
subtractors and add/subtract units for weighted operands. The existing modulo 2 n+ 1 adder …

A technique, based on the residue number system (RNS) with diminished-1 encoded
channel, has being used for implementing a finite impulse response (FIR) digital filter. The …

Residue number system (RNS) parameterized moduli sets almost always contain a power-of-
two modulo (eg 2 iq), where the corresponding computation channel and residue generator …

An efficient architecture for diminished-1 modulo (2n+ 1) multipliers is described. The new
architecture is built using a pure radix-4 Booth recoding block, an inverted end-around-carry …

The classical RNS moduli set RNS C={2 n-1, 2 n, 2 n+ 1} is widely used in digital
signal/image processing and generally in computer arithmetic with residue number systems …

Novel architectures for designing modulo 2 n+ 1 subtractors and combined
adders/subtractors are proposed in this manuscript. Both the normal and the diminished-one …

Image edge detection plays a fundamental role in image processing as well as in computer
and machine vision while when applied in medical images can improve medical diagnosis …

Abstract Diminished-1 (D1) encoding, recodes each modulo-(2 n+ 1) residue r∈[1, 2 n] with
(n+ 1)-bit normal encoding (NE) to n-bit codes r′= r− 1∈[0, 2 n− 1], where an exclusive …

Efficient modulo 2n+ 1 adders are important for several applications including residue
number system, digital signal processors and cryptography algorithms. In this paper we …

The class of moduli sets in the form of {2 k, 2 n-1, 2 n+ 1, m 4} with m 4∈{2 r+ 1, 2 r-1} has
earned significant popularity in the implementation of the Residue Number System (RNS) …