Design of digital FIR filter using dynamic distributed arithmetic algorithm with improved table look up scheme for residue number system

2007 ◽  
Author(s):  
T. Vigneswaran ◽  
J. Selva Kumar ◽  
P. Subbarami Reddy
Keyword(s):  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Distributed Arithmetic ◽  
Residue Number ◽  
Arithmetic Algorithm

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.

Simplified fault‐tolerant FIR filter architecture based on redundant residue number system

2014 ◽  
Vol 50 (23) ◽  
pp. 1768-1770 ◽  
Author(s):  
Zhibin Luan ◽  
Xiang Chen ◽  
Ning Ge ◽  
Zhaocheng Wang
Keyword(s):  
Fault Tolerant ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Filter Architecture ◽  
Residue Number ◽  
Redundant Residue Number System

scholarly journals Performance analysis of Low energy and highspeed DA-RNS based FIR filter design for SDR Applications on FPGA

2021 ◽  
Vol 15 ◽  
pp. 700-712
Author(s):  
B. N. Mohan Kumar ◽  
H. G. Rangaraju
Keyword(s):  
Software Defined Radio ◽  
Filter Design ◽  
Number System ◽  
Residue Number System ◽  
Fir Filter ◽  
Input Word ◽  
Trade Off ◽  
Reverse Translation ◽  
Residue Number ◽  
Fir Filter Design

For different applications, the Finite Impulse Response (FIR) filter is widely used in digital signal processing (DSP) applications. We exhibit a significant Residue Number System (RNS)-based FIR filter design for Software Defined Radio (SDR) filtration in this article. Including its underlying concurrency and information clustering process, the RNS provides important statistics over FIR application in specific. According to several residue computing and reverse translation, expanded bit size results in a significant performance trade-off, conversely. Through RNS replication, accompanied by conditional delay optimized reverse processing to minimize the FIR filter trade-off features with filter duration optimized Residue Number System arithmetic is proposed in this study, which involves distributed arithmetic-based residue processing. To execute the task of reverse translation and to store pre-computational properties, the suggested Residue Number System architecture makes use of built-in RAM blocks found in field-programmable gate array (FPGA) devices. The proposed FIR filter with core optimized RNS has the benefit of lowering processing latency delay while rising performance torque. Followed by FPGA hardware synthesis for different input word sizes and FIR lengths verification by the efficiency of the FIR filter core, fetal audio signal detection is performed first. The test results reveal that over the optimization procedure RNS method, a compromise in traditional RNS FIR over filter size is narrowed, as well as a substantial decrease in sophistication.

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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