Low power realization of residue number system based FIR filters

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.

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Low power design of binary signed digit residue number system adder

2016 24th Iranian Conference on Electrical Engineering (ICEE) ◽

10.1109/iraniancee.2016.7585637 ◽

2016 ◽

Cited By ~ 2

Author(s):

Adib Armand ◽

Somayeh Timarchi

Keyword(s):

Low Power ◽

Low Power Design ◽

Number System ◽

Residue Number System ◽

Residue Number

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Low Power Adaptive Filters Based on a Combination of Genetic Optimization and Residue Number System Coding

2007 Conference Record of the Forty-First Asilomar Conference on Signals, Systems and Computers ◽

10.1109/acssc.2007.4487462 ◽

2007 ◽

Author(s):

C. Radhakrishnan ◽

W. K. Jenkins ◽

D. J. Krusienski

Keyword(s):

Low Power ◽

Adaptive Filters ◽

Number System ◽

Residue Number System ◽

Genetic Optimization ◽

Power Adaptive ◽

Residue Number

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Low power convolvers using the Polynomial Residue Number System

2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353) ◽

10.1109/iscas.2002.1011461 ◽

2003 ◽

Author(s):

V. Paliouras ◽

A. Skavantzos ◽

T. Stouraitis

Keyword(s):

Low Power ◽

Number System ◽

Residue Number System ◽

Residue Number

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Low power FIR filter FPGA implementation based on distributed arithmetic and residue number system

Proceedings of the 44th IEEE 2001 Midwest Symposium on Circuits and Systems. MWSCAS 2001 (Cat. No.01CH37257) ◽

10.1109/mwscas.2001.986125 ◽

2002 ◽

Cited By ~ 4

Author(s):

Wei Wang ◽

M.N.S. Swamy ◽

M.O. Ahmad

Keyword(s):

Low Power ◽

Number System ◽

Residue Number System ◽

Fir Filter ◽

Fpga Implementation ◽

Distributed Arithmetic ◽

Residue Number

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A low power algorithm for division in residue number system (RNS)

Conference Proceedings. IEEE Canadian Conference on Electrical and Computer Engineering (Cat. No.98TH8341) ◽

10.1109/ccece.1998.682718 ◽

2002 ◽

Author(s):

A.E. Hussein ◽

M.A. Hasan ◽

M.I. Elmasry

Keyword(s):

Low Power ◽

Number System ◽

Residue Number System ◽

Residue Number

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Reducing power dissipation in FIR filters using the residue number system

Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144) ◽

10.1109/mwscas.2000.951651 ◽

2002 ◽

Cited By ~ 34

Author(s):

G.C. Cardarilli ◽

A. Nannarelli ◽

M. Re

Keyword(s):

Power Dissipation ◽

Reducing Power ◽

Number System ◽

Residue Number System ◽

Fir Filters ◽

Residue Number

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The Application of Residue Number System to the Design of High-Speed FIR Filters

Proceedings of the 2015 4th International Conference on Computer, Mechatronics, Control and Electronic Engineering ◽

10.2991/iccmcee-15.2015.150 ◽

2015 ◽

Cited By ~ 1

Author(s):

Zhe Jin ◽

Jie Wu

Keyword(s):

High Speed ◽

Number System ◽

Residue Number System ◽

Fir Filters ◽

Residue Number

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Implementation of Residue Number System Based Digital Filters

10.34048/2018.4.f2 ◽

2018 ◽

Author(s):

Ananda Mohan P. V.

Keyword(s):

Impulse Response ◽

Digital Filters ◽

Number System ◽

Residue Number System ◽

Fir Filters ◽

Present Sample ◽

Residue Number

In the case of FIR filters (see Figure 1), we need to perform several multiplications of present sample and previous input samples x(n) with fixed coefficients h(n) defining the impulse response of the filter and accumulate the results of these multiplications to obtain y(n):

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