Using quadratic residue arithmetic for computing skew cyclic convolutions

1991 ◽  
Vol 27 (23) ◽  
pp. 2140 ◽  
Author(s):  
A. Skavantzos
Keyword(s):  
Quadratic Residue ◽  
Residue Arithmetic

New Efficient and Fast Method to Compute the Weights Enumerators of Some Large Doubly Even Self Dual Quadratic Residue Codes

2018 ◽  
Vol 11 (6) ◽  
pp. 220-233
Author(s):  
Saïd Nouh ◽  
◽  
Moulay Alaoui ◽  
Mostafa Belkasmi ◽  
Abdelaziz Marzak ◽  
...  
Keyword(s):  
Quadratic Residue ◽  
Fast Method ◽  
Quadratic Residue Codes

Decoding the (73, 37, 13) quadratic residue code

1994 ◽  
Vol 141 (5) ◽  
pp. 253 ◽  
Author(s):  
X. Chen ◽  
I.S. Reed ◽  
T.K. Truong
Keyword(s):  
Quadratic Residue ◽  
Residue Code ◽  
Quadratic Residue Code

Algebraic decoding of [71, 36, 11], [79, 40, 15], and [97, 49, 15] quadratic residue codes

2003 ◽  
Vol 51 (9) ◽  
pp. 1463-1473 ◽  
Author(s):  
Yaotsu Chang ◽  
Trieu-Kien Truong ◽  
I.S. Reed ◽  
H.Y. Cheng ◽  
C.D. Lee
Keyword(s):  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Algebraic Decoding

Electric Field Uniformity Characteristic of a Reverberation Chamber with a Composite QRD

2013 ◽  
Vol 684 ◽  
pp. 518-521
Author(s):  
Eugene Rhee ◽  
Ji Hoon Lee
Keyword(s):  
Electric Field ◽  
Electromagnetic Compatibility ◽  
Quadratic Residue ◽  
Test Facility ◽  
Uniform Electric Field ◽  
Reverberation Chamber ◽  
Standard Requirement ◽  
International Standard ◽  
Field Uniformity ◽  
Simulation Results

This paper presents the electric field characteristics in a reverberation chamber which is an electromagnetic compatibility test facility that uses a stirrer to generate a uniform electric field inside it. In this paper, a diffuser is introduced from acoustics and newly designed to overcome problems of a stirrer. To validate the effect of a diffuser, a composite quadratic residue diffuser and a reverberation chamber are modeled. Then, the field uniformity inside the reverberation chamber is simulated by XFDTD 6.2 simulation program. Simulation results show that the electric field uniformity in the reverberation chamber satisfies the international standard requirement. This shows that the composite quadratic residue diffuser can be substituted for a stirrer.

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.

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