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High speed residue number system (RNS) based FIR filter using distributed arithmetic (DA)
Computer Architecture News, 2012In this paper high speed Residue Number System (RNS) based FIR filter using Distributed Arithmetic (DA) is proposed. The proposed architecture uses the module set having the value of numbers as small as possible. In case of using Distributed Arithmetic in FIR filter; the size of LUTs gets increased exponentially with the increase of tap of the filter ...
Amitabha Sinha
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New distributed algorithms for fast sign detection in residue number systems (RNS)
Journal of Parallel and Distributed Computing, 2016We identify a canonical parameter in the Chinese Remainder Theorem (CRT) and call it the "Reconstruction Coefficient", (denoted by " R C "); and introduce the notions of "Partial" and "Full" Reconstruction. If the R C can be determined efficiently, then arithmetic operations that are (relatively) harder to realize in RNS; including Sign Detection, Base
Dhananjay S. Phatak, Steven D. Houston
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A New Moduli Set for Residue Number System: {rn 2,rn 1,rn}
2007 International Conference on Electrical Engineering, 2007In this paper a new moduli set {rn -2,rn -1,rn} is introduced where r = 2k + 1 and k= 1,2,3,... . This moduli set includes pair wise relatively prime moduli, so it offers the maximum possible dynamic range. For this moduli set, the related circuits are simply realized in the Multiple Valued Logic (MVL) and arithmetic in this moduli set enjoys very high
M. Hosseinzadeh, K. Navi, S. Gorgin
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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), 2002A new algorithm for computing division in residue number system (RNS) is presented. The algorithm imposes no restrictions on the dividend and the divisor (except zero divisor), and requires no initial quotient estimation. It eliminates the need for the multipliers used in the previously reported algorithms.
A.E. Hussein, M.A. Hasan, M.I. Elmasry
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Analysis of errors in residue number system (RNS) based IIR digital filters
ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005The problem of analyzing errors in Residue Number System (RNS) based IIR Digital filters is considered in this paper. There are basically three types of errors in RNS based digital filters, They are coefficient quantization errors(1), scaling errors and data errors.
A. S. Ramnarayan, Fred J. Taylor
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