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A fixed-point ASIC design for high-speed, second-order, piecewise function approximation is presented. A Non-Uniform segmentation method based on Minimax approximation is used to get the interpolation coefficients. Non-Uniform segmentation, effectively, reduces the size of the coefficient table with a small area overhead for the address encoder. The proposed algorithm truncates the binary coefficients...
In this paper we propose two high performance multiplication-accumulation (MAC) designs. Targeting to operate at higher frequency, we investigate two different techniques based on the carry-save representation in order to reduce the delay impact of the accumulation process on the MAC operation. We conducted detailed experimental measurements to verify the advantages of the proposed MAC designs compared...
Fast multipliers are essential for many applications such as digital signal processing (DSP) and image and video processing. Tree parallel multipliers are the fastest ones. The only disadvantage of tree multipliers over serial multipliers is its high cost in terms of area and power dissipation. In this paper, we present a new efficient reduction scheme to implement tree multipliers on field programmable...
Modular multiplication is essential in cryptographic algorithms (e.g. RSA), as it determines the performance of the entire cryptographic operation and its reliability is crucial for the system security. In this paper, we propose a high-radix Montgomery Modular Multiplication (MMM) implementation and conduct an exploration to find the optimal radix. Also, a concurrent error detection circuit with 99...
Complex arithmetic operations are widely used in Digital Signal Processing (DSP) applications. Keeping the intermediate results in a redundant representation (e.g. carry-save) is a common technique to speed up chained arithmetic operations due to the elimination of the intermediate parallel additions which occupy significant area and largely increase the overall critical delay. Thus, arithmetic units...
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