2017Unpublished venueRequires access

Exploring the combination of number of bits and number of iterations for a power-efficient fixed-point CORDIC implementation

Andre N. Sapper, Leonardo Bandeira Soares, Eduardo Costa, Sérgio Bampi

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Abstract

This work explores approximation in CORDIC architectures for CMOS ASIC implementation. Coarse grain reduction in the number of iterations and bit-width are systematically evaluated to drive power efficiency in detriment of controlled magnitude error occurrence for the trigonometric sine and cosine functions. The approximate versions of the proposed CORDIC architecture are described in VHDL and synthesized for a 45 nm technology. Results indicate that for error-tolerant applications, where the number of iterations can be lower than the number of bits, significant power reduction can be achieved.

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What this paper is about

This work explores approximation in CORDIC architectures for CMOS ASIC implementation. Coarse grain reduction in the number of iterations and bit-width are systematically evaluated to drive power efficiency in detriment of controlled magnitude error occurrence for the trigonometric sine and cosine functions. The approximate versions of the proposed CORDIC architecture are described in VHDL and synthesized for a 45 nm technology. Results indicate that for error-tolerant applications, where the number of iterations can be lower than the number of bits, significant power reduction can be achieved.

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Available abstract

This work explores approximation in CORDIC architectures for CMOS ASIC implementation. Coarse grain reduction in the number of iterations and bit-width are systematically evaluated to drive power efficiency in detriment of controlled magnitude error occurrence for the trigonometric sine and cosine functions. The approximate versions of the proposed CORDIC architecture are described in VHDL and synthesized for a 45 nm technology. Results indicate that for error-tolerant applications, where the number of iterations can be lower than the number of bits, significant power reduction can be achieved.

Key concepts: CORDIC, Reduction (mathematics), Trigonometric functions, Power (physics), Fixed point, Sine, Application-specific integrated circuit, VHDL

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