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Mathematical Problems in Engineering
Volume 2012, Article ID 784270, 12 pages
Research Article

Difference-Equation-Based Digital Frequency Synthesizer

1Department of Electrical Engineering, National Central University, Chungli 320-01, Taiwan
2Department of Electronics Engineering, Chung Hua University, Hsinchu 300-12, Taiwan
3Department of Computer Science and Information Enginnering, National United University, Miaoli 360-03, Taiwan

Received 9 February 2012; Accepted 2 March 2012

Academic Editor: Ming Li

Copyright © 2012 Lu-Ting Ko et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a novel algorithm and architecture for digital frequency synthesis (DFS). It is based on a simple difference equation. Simulation results show that the proposed DFS algorithm is preferable to the conventional phase-locked-loop frequency synthesizer and the direct digital frequency synthesizer in terms of the spurious-free dynamic range (SFDR) and the peak-signal-to-noise ratio (PSNR). Specifically, the results of SFDR and PSNR are more than 186.91 dBc and 127.74 dB, respectively. Moreover, an efficient DFS architecture for VLSI implementation is also proposed, which has the advantage of saving hardware cost and power consumption.