New identities and transformations for hardware power operators

Romain Michard; Arnaud Tisserand; Nicolas Veyrat-Charvillon

doi:10.1117/12.676244

25 August 2006 New identities and transformations for hardware power operators

Romain Michard, Arnaud Tisserand, Nicolas Veyrat-Charvillon

Proceedings Volume 6313, Advanced Signal Processing Algorithms, Architectures, and Implementations XVI; 631307 (2006) https://doi.org/10.1117/12.676244
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

In this work we present some improvements on hardware operators dedicated to the computation of power operations with fixed integer exponent (x³, x⁴, . . .) in unsigned radix-2 fixed-point or integer representations. The proposed method reduces the number of partial products using simplifications based on new identities and transformations. These simplifications are performed both at the logical and the arithmetic levels. The proposed method has been implemented in a VHDL generator that produces synthesizable descriptions of optimized operators. The results of our method have been demonstrated on FPGA circuits.

Citation Download Citation

Romain Michard, Arnaud Tisserand, and Nicolas Veyrat-Charvillon "New identities and transformations for hardware power operators", Proc. SPIE 6313, Advanced Signal Processing Algorithms, Architectures, and Implementations XVI, 631307 (25 August 2006); https://doi.org/10.1117/12.676244

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