Compensation of finite gain-bandwidth induced errors in continuous-time sigma-delta modulators

This paper introduces a possible compensation for finite gain-bandwidth (GBW) induced errors in continuous-time sigma-delta modulators. Therefore, a novel model is derived which reduces the effect of a finite GBW to a corresponding integrator gain-error and feedback loop delays. Thus, previously published methods for the compensation of these errors can be adopted with some modification. The results are confirmed analytically and by simulations and show a possible GBW reduction of about one order of magnitude compared to current designs.

[1]  Omid Shoaei,et al.  Continuous-Time Delta-Sigma A/D Converters for High Speed Applications , 1995 .

[2]  Omid Shoaei,et al.  Optimal (bandpass) continuous-time /spl Sigma//spl Delta/ modulator , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[3]  Philippe Bénabès,et al.  A methodology for designing continuous-time sigma-delta modulators , 1997, Proceedings European Design and Test Conference. ED & TC 97.

[4]  K.C.-H. Chao,et al.  A higher order topology for interpolative modulators for oversampling A/D converters , 1990 .

[5]  E.J. van der Zwan,et al.  A 0.2 mW CMOS /spl Sigma//spl Delta/ modulator for speech coding with 80 dB dynamic range , 1996, 1996 IEEE International Solid-State Circuits Conference. Digest of TEchnical Papers, ISSCC.

[6]  Maurits Ortmanns,et al.  A continuous–time sigma–delta modulator with reduced jitter sensitivity , 2002 .

[7]  Michel Steyaert,et al.  Optimal parameters for /spl Delta//spl Sigma/ modulator topologies , 1998 .

[8]  Hassan Aboushady,et al.  Systematic approach for discrete-time to continuous-time transformation of /spl Sigma//spl Delta/ modulators , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[9]  W. Sansen,et al.  A 900-mV low-power ΔΣ A/D converter with 77-dB dynamic range , 1998, IEEE J. Solid State Circuits.

[10]  Robert G. Meyer,et al.  Analysis and Design of Analog Integrated Circuits , 1993 .

[11]  Van Der Zwan.  A 0.2-mW CMOS ΣΔ modulator for speech coding with 80 dB dynamic range , 1996 .

[12]  K. W. Martin,et al.  Components for a GaAs delta-sigma modulator oversampled analog-to-digital converter , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[13]  Omid Shoaei,et al.  Excess loop delay effects in continuous-time delta-sigma modulators and the compensation solution , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[14]  Ángel Rodríguez-Vázquez,et al.  Top-Down Design of High-Performance Sigma-Delta Modulators , 1998 .

[15]  Maurits Ortmanns,et al.  Successful design of cascaded continuous-time /spl Sigma//spl Delta/ modulators , 2001, ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483).

[16]  W. Snelgrove,et al.  Optimal (Bandpass) Continuous-Time Sigma-Delta Modulator. , 1994 .

[17]  J. Yamada,et al.  1 V power supply, low-power consumption A/D conversion technique with swing-suppression noise shaping , 1994 .

[18]  A.S. Sedra,et al.  Analog MOS integrated circuits for signal processing , 1987, Proceedings of the IEEE.

[19]  Yannis Tsividis,et al.  High Frequency Continuous Time Filters in Digital CMOS Processes , 2000 .

[20]  Bernhard E. Boser,et al.  The design of sigma-delta modulation analog-to-digital converters , 1988 .

[21]  Philippe Bénabès,et al.  Bandpass Delta-Sigma modulators synthesis with high loop delay , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[22]  Maurits Ortmanns,et al.  A 1.5-V 12-bit power-efficient continuous-time third-order /spl Sigma//spl Delta/ modulator , 2003 .

[23]  W. Snelgrove,et al.  Excess loop delay in continuous-time delta-sigma modulators , 1999 .

[24]  Maurits Ortmanns,et al.  Influence of finite integrator gain bandwidth on continuous-time sigma delta modulators , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[25]  Maurits Ortmanns,et al.  Compensation of the influence of finite gain-bandwidth on continuous-time sigma-delta modulators , 2003, 10th IEEE International Conference on Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003.

[26]  W. Snelgrove,et al.  Design and implementation of a tunable 40 MHz-70 MHz Gm-C bandpass /spl Delta//spl Sigma/ modulator , 1997 .