Title :
A 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula
Author :
Wang, Chua-Chin ; Tseng, Yih-Long ; She, Hsien-Chih ; Li, Chih-Chen ; Hu, Ron
Author_Institution :
Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan
Abstract :
A ROM-less direct digital frequency synthesizer employing trigonometric quadruple angle formula is present in this paper. The worse case spectral purity is better than -130 dBc. The amplitude resolution is up to 13 bits, while the phase resolution is 12 bits. Neither any scaling table nor error correction tables are required. The maximum error is mathematically analyzed. The word length of each multiplier is carefully selected in the digital implementation such that the error range is circumscribed and the resolution is preserved.
Keywords :
direct digital synthesis; error correction; integrated circuit modelling; integrated circuit noise; integrated circuit testing; read-only storage; 13 B; 13-bit resolution ROM; amplitude resolution; digital implementation; direct digital frequency synthesizer; error correction; phase resolution; spectral purity; trigonometric quadruple angle formula; Approximation error; CMOS technology; Equations; Error analysis; Error correction; Frequency synthesizers; Phase noise; Quantization; Radio frequency; Table lookup;
Journal_Title :
Very Large Scale Integration (VLSI) Systems, IEEE Transactions on
DOI :
10.1109/TVLSI.2004.833664
