Radix- Arithmetic for Multiplication by a Constant

AK Oudjida, N Chaillet - … on Circuits and Systems II: Express …, 2014 - ieeexplore.ieee.org
In this brief, radix-2 r arithmetic is explored to minimize the number of additions in the
multiplication by a constant. We provide the formal proof that, for an N-bit constant, the …

A new low-power recoding algorithm for multiplierless single/multiple constant multiplication

AK Oudjida, ML Berrandjia… - 2013 IEEE Faible Tension …, 2013 - ieeexplore.ieee.org
Optimizing the number of additions in constant coefficient multiplication is conjectured to be
a NP-hard problem. In this paper, we report a new heuristic requiring an average of 29.10 …

Binary arithmetic for finite-word-length linear controllers: MEMS applications

AK Oudjida - 2014 - theses.hal.science
This thesis addresses the problem of optimal hardware-realization of finite-word-length
(FWL) linear controllers dedicated to MEMS applications. The biggest challenge is to …

Design of optimized FIR filter using Radix-2r

DS Vishnu, DV Sowjanya, PN Reddy… - 2018 3rd IEEE …, 2018 - ieeexplore.ieee.org
Finite Impulse Response (FIR) filters are mainly used in the Digital Signal Processing (DSP)
applications. The main reason behind implementing FIR filters is because of its high speed …

A new high radix-2r (r≥8) multibit recoding algorithm for large operand size (N≥32) multipliers

AK Oudjida, N Chaillet, ML Berrandjia… - ACM SIGARCH Computer …, 2012 - dl.acm.org
This paper addresses the problem of multiplication with large operand sizes (N≥ 32). We
propose a new recursive recoding algorithm that shortens the critical path of the multiplier …

A new binary arithmetic for finite-word-length linear controllers: MEMS applications

AK Oudjida, A Liacha, ML Berrandjia… - 2014 9th International …, 2014 - ieeexplore.ieee.org
This paper addresses the problem of optimal hardware-realization of finite-word-length
(FWL) linear controllers dedicated to MEMS applications. The biggest challenge is to ensure …