The Effects of Flying-Adder Clocks on Digital-to-Analog Converters

This brief presents the theoretical and simulation results of the effects of flying-adder (FA) clocks on digital-to-analog converters (DACs). A closed-form expression for the frequency spectrum of the DAC output is derived. Analyses show that there exists a lower bound of the clock frequency above which the FA clock does not introduce any additional frequency components in the DAC output. For an FA clock of frequency between the Nyquist frequency and this lower bound, a closed-form expression of the DAC signal-to-distortion ratio is derived.

[1]  Y.-C. Jenq,et al.  Digital spectra of nonuniformly sampled signals: fundamentals and high-speed waveform digitizers , 1988 .

[2]  T. Riley,et al.  Delta-sigma modulation in fractional-N frequency synthesis , 1993 .

[3]  Yih-Chyun Jenq Direct digital synthesizer with jittered clock , 1997 .

[4]  Liming Xiu The concept of time-average-frequency and mathematical analysis of flying-adder frequency synthesis architecture , 2008, IEEE Circuits and Systems Magazine.

[5]  Bang-Sup Song,et al.  Nyquist-Rate ADC and DAC , 2000, The VLSI Handbook.

[6]  Liming Xiu A “Flying-Adder” On-Chip Frequency Generator for Complex SoC Environment , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  Arthur H. M. van Roermund,et al.  A general analysis on the timing jitter in D/A converters , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[8]  Eduard Alarcón,et al.  Clock-jitter induced distortion in high speed CMOS switched-current segmented digital-to-analog converters , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[9]  V.S. Reinhardt A review of time jitter and digital systems , 2005, Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition, 2005..

[10]  A. Papoulis,et al.  The Fourier Integral and Its Applications , 1963 .