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IC and SPI are the most commonly used serial protocols for both inter-chip and intra-chip low/medium bandwidth data-transfers. This paper contrasts and compares physical implementation aspects of the two protocols through a number of recent Xilinx’s FPGA families, showing up which protocol features are responsible of substantial area overhead. This valuable… (More)

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% and 10.61% less additions than the standard canonical signed digit representation (CSD) and the double base number system (DBNS), respectively, for 64-bit coefficients. The… (More)

In embedded control applications, control-rate and energyconsumption are two critical design issues. This paper presents a series of highspeed and low-power finite-word-length PID controllers based on a new recursive multiplication algorithm. Compared to published results into the same conditions, savings of 431% and 20% are respectively obtained in terms… (More)

- Abdelkrim Kamel Oudjida, Nicolas Chaillet, Ahmed Liacha, Mohamed Lamine Berrandjia
- J. Low Power Electronics
- 2012

In this paper, a new recursive multibit recoding multiplication algorithm is introduced. It provides a general space-time partitioning of the multiplication problem that not only enables a drastic reduction of the number of partial products (n/r), but also eliminates the need of pre-computing odd multiples of the multiplicand in higher radix (ß≥8)… (More)

- Abdelkrim Kamel Oudjida, Nicolas Chaillet
- IEEE Trans. on Circuits and Systems
- 2014

In this paper, radix-2 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 maximum number of additions using radix-2 is lower than Dimitrov’s estimated upper-bound (2.N/log(N)) using double base number system (DBNS). In comparison to canonical signed… (More)

- Abdelkrim Kamel Oudjida, Nicolas Chaillet, Mohamed Lamine Berrandjia, Ahmed Liacha
- SIGARCH Computer Architecture News
- 2012

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 and reduces the hardware complexity of partial-product-generators as well. The new recoding algorithm provides an optimal space/time partitioning of the multiplier… (More)

- Abdelkrim Kamel Oudjida, Nicolas Chaillet, Mohamed Lamine Berrandjia
- IEEE Trans. on Circuits and Systems
- 2015

In a previous work we proposed a new sublinearruntime recoding heuristic for the multiplication by a constant, accompanied by its upper-bound complexity. In this brief, further results are provided, namely, the analytic expressions of the average number of additions and the maximum adder-depth. Improvements to the proposed heuristic are considered as well,… (More)

- Abdelkrim Kamel Oudjida, Ahmed Liacha, D. Benamrouche, M. Goudjil, Rachid Tiar, A. Ouchabane
- Journal of Circuits, Systems, and Computers
- 2008

ASIC or FPGA implementation of a finite wordlength PID controller requires a double expertise: in control system and hardware design. In this paper, we only focus on the hardware side of the problem. We show how to design configurable fixed-point PIDs to satisfy applications requiring minimal power consumption, or high control-rate, or both together. As… (More)