title: A high precision method for mapping phase to amplitude in direct digital synthesis and its hardware implementation.
abstract: There exist a number of algorithms to map the phase to amplitude in direct digital synthesis (DDS). For DDS with more than 14 output bits, the Coordinate Rotation Digital Computer (CORDIC) algorithm is well known for its high precision. Also, it is effective in solutions where there is the need of in-phase and quadrature components simultaneously because the algorithm calculates both. In this paper, a Taylor expansion based method was proposed to calculate both in-phase and quadrature at the same time. Numerical simulations for different data format, e.g., double and finite bits, were carried out in Matlab and Quartus, which were followed by the hardware implementation in Field Programmable Gate Array. The results demonstrated that the proposed method possessed higher precision and exhausted less logic elements than the CORDIC algorithm.
authors.affiliation: Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China.
authors.forename: Zhang
authors.initials: Z
authors.lastname: Cao
authors.affiliation: Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Song
authors.affiliation: Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China.
authors.forename: Zhicong
authors.initials: Z
authors.lastname: Peng
authors.affiliation: Key Laboratory of Precision Opto-Mechatronics Technology of Ministry of Education, School of Instrument Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China.
authors.forename: Lijun
authors.initials: L
authors.lastname: Xu