Double-Base Number System and Its Application in FIR Filter Design

2017 ◽  
pp. 277-310 ◽  
Author(s):  
Jiajia Chen ◽  
Chip-Hong Chang
Keyword(s):  
Filter Design ◽  
Number System ◽  
Fir Filter ◽  
Base Number ◽  
Double Base ◽  
Fir Filter Design

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.

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base
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