Title :
Optimal finite bit Pi representation
Author :
Gowrish, B. ; Bhat, Anirudha ; Kiran, A.B. ; Rawat, Karun
Author_Institution :
Cypress Semicond. Technol. India Pvt. Ltd., Bangalore, India
Abstract :
In this paper an optimal finite bit representation of Pi is presented. The goal is to completely nullify the possibility of error arising due to finite bit Pi representation while converting angle from degree (fixed point) to radian (IEEE 754 Single Precision floating point). Such a conversion is widely used in FPGA based interfacing device for military and aerospace applications, where there is minimal tolerance for error in the system. Through CAD based approach it is determined that atleast 40 bits are required to represent Pi while converting angle from 16 bit degree in 2´s complement to IEEE 754 Single Precision floating point radian.
Keywords :
IEEE standards; field programmable gate arrays; floating point arithmetic; pi calculus; CAD based approach; FPGA based interfacing device; IEEE 754 single precision floating point radian; aerospace applications; optimal finite bit pi representation; Field programmable gate arrays; Performance evaluation; Radar tracking; Region 10; Software; US Department of Transportation; Field Programmable Gate Array (FPGA); IEEE 754 Single Precision floating point; Pi (π) representation; Q notation; interfacing device;
Conference_Titel :
Region 10 Symposium, 2014 IEEE
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4799-2028-0
DOI :
10.1109/TENCONSpring.2014.6863063
