scholarly journals Hardware Implementation of Fir Filter Based on Number-theoretic Fast Fourier Transform in Residue Number System

2014 ◽  
Vol 1 (1) ◽  
pp. 1-6 ◽  
Author(s):  
V. M. Amerbaev ◽  
R. A. Soloviev ◽  
D. V. Telpukhov
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Hardware Implementation ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Residue Number

scholarly journals Constant-coefficient FIR filters based on residue number system arithmetic

2012 ◽  
Vol 9 (3) ◽  
pp. 325-342 ◽  
Author(s):  
Negovan Stamenkovic ◽  
Vladica Stojanovic
Keyword(s):  
Power Dissipation ◽  
High Speed ◽  
Finite Impulse Response ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Fir Filters ◽  
Residue Number ◽  
Low Power Dissipation ◽  
Residue Arithmetic

In this paper, the design of a Finite Impulse Response (FIR) filter based on the residue number system (RNS) is presented. We chose to implement it in the (RNS), because the RNS offers high speed and low power dissipation. This architecture is based on the single RNS multiplier-accumulator (MAC) unit. The three moduli set {2n+1,2n,2n-1}, which avoids 2n+1 modulus, is used to design FIR filter. A numerical example illustrates the principles of residue encoding, residue arithmetic, and residue decoding for FIR filters.

HARDWARE IMPLEMENTATION OF VIDEO PROCESSING DEVICE USING RESIDUE NUMBER SYSTEM

2021 ◽  
pp. 15-21
Author(s):  
Pavel Alekseyevich Lyakhov ◽  
Andrey Sergeevich Ionisyan ◽  
Violetta Vladimirovna Masaeva ◽  
Maria Vasilevna Valueva
Keyword(s):  
Video Processing ◽  
Hardware Implementation ◽  
Number System ◽  
Residue Number System ◽  
Residue Number ◽  
Processing Device

An improved hardware implementation of the one hot Residue Number System

2014 ◽  
Author(s):  
Carlos Arturo Gayoso ◽  
Claudio Gonzalez ◽  
Leonardo Arnone ◽  
Miguel Rabini ◽  
Jorge Castineira Moreira
Keyword(s):  
Hardware Implementation ◽  
Number System ◽  
Residue Number System ◽  
Residue Number ◽  
The One
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