High speed residue number system (RNS) based FIR filter using distributed arithmetic (DA)

2012 ◽  
Vol 39 (5) ◽  
pp. 1-4 ◽  
Author(s):  
Malay Das ◽  
Amitabha Sinha ◽  
Nishant Kumar Giri
Keyword(s):  
High Speed ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Distributed Arithmetic ◽  
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.

scholarly journals Digital FIR filter architecture based on the residue number system

2009 ◽  
Vol 22 (1) ◽  
pp. 125-140 ◽  
Author(s):  
Negovan Stamenkovic
Keyword(s):  
High Speed ◽  
Direct Synthesis ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Fir Filters ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Filter Architecture ◽  
Residue Number

In this paper, architecture of residue number system used in FIR filters, is presented. For many years residue number coding has been recognized as a system which provides capability for implementation of a high speed addition and multiplication. These advantages of residue number system coding for the high speed FIR filters design results from the fact that an digital FIR filter requires only addition and multiplication. The proposed FIR filter architecture is performed as series of modulo multiplication and accumulation across each modulo. A numerical example illustrates the principles of FIR filtering of an 32 order low pass filter. This architecture is compared with FIR filters direct synthesis. .

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