Title :
A VLSI implementation of logarithmic and exponential functions using a novel parabolic synthesis methodology compared to the CORDIC algorithm
Author :
Pouyan, Peyman ; Hertz, Erik ; Nilsson, Peter
Author_Institution :
Dept. of Electr. & Inf. Technol., Lund Univ., Lund, Sweden
Abstract :
High performance implementations of unary functions are important in many applications e.g. in the wireless communication area. This paper shows the development and VLSI implementation of unary functions like the logarithmic and exponential function, by using a novel approximation methodology based on parabolic synthesis, which is compared to the well known CORDIC algorithm. Both designs are synthesized and implemented on an FPGA and as an ASIC. The results of such implementations are compared with metrics such as performance and area. The performance in the parabolic architecture is shown to exceed the CORDIC architecture by a factor 4.2, in a 65 nm Standard-VT ASIC implementation.
Keywords :
VLSI; application specific integrated circuits; approximation theory; digital arithmetic; field programmable gate arrays; parabolic equations; signal processing; ASIC; CORDIC algorithm; FPGA implementation; approximation methodology; exponential function; logarithmic VLSI implementation; parabolic synthesis; parabolic synthesis methodology; size 65 nm; standard-Vτ ASIC implementation; unary function; wireless communication area; Accuracy; Algorithm design and analysis; Application specific integrated circuits; Approximation methods; Computer architecture; Field programmable gate arrays; Hardware; CORDIC; Exponential; FPGA; Logarithmic; Parabolic Synthesis; VLSI;
Conference_Titel :
Circuit Theory and Design (ECCTD), 2011 20th European Conference on
Conference_Location :
Linkoping
Print_ISBN :
978-1-4577-0617-2
Electronic_ISBN :
978-1-4577-0616-5
DOI :
10.1109/ECCTD.2011.6043642
