Second-order parabolic approximation: a new mathematical approximation dedicated to ROM-less DDFSs

Author

Sodagar, Amir M. ; Lahiji, G. Roientan

Author_Institution

Dept. of EE, S. Rajaee Univ., Tehran, Iran

fYear

2000

fDate

2000

Firstpage

47

Lastpage

50

Abstract

An extended form of the parabolic approximation, which was previously introduced by the authors, is proposed. The proposed form of the approximation is so close to the sine function that satisfies the accuracy requirements for a typical sine-output direct digital frequency synthesizer (DDFS). However, the novel approximation presents a suitable formula for sine function in signal processing algorithms and software, and it is shown that it can be implemented using digital hardware

Keywords

direct digital synthesis; function approximation; signal processing; ROM-less DDFSs; digital hardware implementation; mathematical approximation; parabolic approximation; second-order parabolic approximation; signal processing algorithms; signal processing software; sine function; sine-output DDFS; sine-output direct digital frequency synthesizer; Approximation error; Error correction; Frequency synthesizers; Hardware; Microelectronics; Power dissipation; Read only memory; Shape; Signal processing algorithms; Table lookup;

fLanguage

English

Publisher

ieee

Conference_Titel

Microelectronics, 2000. ICM 2000. Proceedings of the 12th International Conference on

Conference_Location

Tehran

Print_ISBN

964-360-057-2

Type

conf

DOI

10.1109/ICM.2000.916412

Filename

916412