Delta-sigma modulators employing continuous-time circuits and mismatch-shaped DACs

approved: Richard Schreier Delta-sigma modulators are currently a very popular technique for making highresolution analog-to-digital and digital-to-analog converters. These oversampled data converters have several advantages over conventional Nyquist-rate converters, including an insensitivity to many analog component imperfections, a simpler antialiasing filter and reduced accuracy requirements in the sample and hold. Though the initial uses of deltasigma modulators were in the audio field, the development of bandpass modulators opened up the application range to radar systems, digital communication systems and instruments which convert IF, or even RF, analog signals directly to digital form. This thesis presents a method used to analyze and synthesize continuous-time delta-sigma modulators for given specifications. A fourth-order prototype continuous-time bandpass delta-sigma modulator employing gm-LC resonator structure is demonstrated on a PCB board and measurement results corroborate the theory. To allow the construction of very high performance delta-sigma modulators, this thesis presents an architecture for a multibit DAC constructed from unit elements which shapes element mismatches. Theoretical analysis and simulation shows that this architecture greatly increases the noise attenuation in the band-of-interest and facilitates the use of multibit quantization in delta-sigma modulators. The methods presented in this thesis will allow high-frequency wideband bandpass delta-sigma modulators to be constructed. Redacted for Privacy Redacted for Privacy Delta-Sigma Modulators Employing Continuous-lime Circuits and Mismatch-Shaped DACs by Bo Zhang A THESIS submitted to Oregon State University in partial fulfillment of the requirements for the degree of Doctor of Philosophy Completed April 3, 1996 Commencement June 1996 ©Copyright by Bo Zhang April 3, 1996 All Rights Reserved Doctor of Philosophy thesis of Bo Zhamz presented on April 3, 1996

[1]  James C. Candy,et al.  A Use of Limit Cycle Oscillations to Obtain Robust Analog-to-Digital Converters , 1974, IEEE Trans. Commun..

[2]  G. Siouris,et al.  Nonlinear Control Engineering , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  J. Candy,et al.  The Structure of Quantization Noise from Sigma-Delta Modulation , 1981 .

[4]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[5]  C. Sidney Burrus,et al.  Multirate filter designs using comb filters , 1984 .

[6]  James C. CAhY A Use of Double Integration in Sigma Delta Modulation , 1985 .

[7]  Robert W. Adams,et al.  Design and Implementation of an Audio 18-Bit Analog-to-Digital Converter Using Oversampling Techniques , 1986 .

[8]  James C. Candy,et al.  Decimation for Sigma Delta Modulation , 1986, IEEE Trans. Commun..

[9]  Tapio Saramaki,et al.  Design of FIR filters as a tapped cascaded interconnection of identical subfilters , 1987 .

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

[11]  John J. Paulos,et al.  An analysis of nonlinear behavior in delta-sigma modulators , 1987 .

[12]  Robert M. Gray,et al.  Oversampled Sigma-Delta Modulation , 1987, IEEE Trans. Commun..

[13]  Henry Stark,et al.  Modern Electrical Communications , 1988 .

[14]  Sanjit K. Mitra,et al.  Design of computationally efficient interpolated fir filters , 1988 .

[15]  Randall L. Geiger,et al.  VLSI Design Techniques for Analog and Digital Circuits , 1989 .

[16]  L. R. Carley,et al.  A noise-shaping coder topology for 15+ bit converters , 1989 .

[17]  Richard Schreier,et al.  Bandpass sigma-delta modulation , 1989 .

[18]  T. Saramaki,et al.  Multiplier-free decimator algorithms for superresolution oversampled converters , 1990, IEEE International Symposium on Circuits and Systems.

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

[20]  H.-J. Dressler Interpolative bandpass A/D conversion-experimental results , 1990 .

[21]  Richard Schreier,et al.  Decimation for bandpass sigma-delta analog-to-digital conversion , 1990, IEEE International Symposium on Circuits and Systems.

[22]  B. P. Brandt,et al.  A CMOS Oversampling A/D Converter With 12b Resolution At Conversion Rates Above 1Mhz , 1991, 1991 IEEE International Solid-State Circuits Conference. Digest of Technical Papers.

[23]  Bruce A. Wooley,et al.  A 50-MHz multibit sigma-delta modulator for 12-b 2-MHz A/D conversion , 1991 .

[24]  S. Hein,et al.  On the stability of interpolative sigma delta modulators , 1991, 1991., IEEE International Sympoisum on Circuits and Systems.

[25]  Allan S. Y. Grady,et al.  Beta : Mathematics Handbook , 1991, The Mathematical Gazette.

[26]  Wu Chou,et al.  Dithering and its effects on sigma-delta and multistage sigma-delta modulation , 1991, IEEE Trans. Inf. Theory.

[27]  Gabor C. Temes,et al.  Oversampling methods for data conversion , 1991, [1991] IEEE Pacific Rim Conference on Communications, Computers and Signal Processing Conference Proceedings.

[28]  Bram Nauta Analog CMOS Filters for Very High Frequencies , 1992 .

[29]  D. Pulfrey,et al.  A Geometric View of EA Modulations , 1992 .

[30]  Richard Schreier,et al.  Stability tests for single-bit sigma-delta modulators with second-order FIR noise transfer functions , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[31]  S. Norsworthy Effective dithering of sigma-delta modulators , 1992, [Proceedings] 1992 IEEE International Symposium on Circuits and Systems.

[32]  L. Chua,et al.  NONLINEAR DYNAMICS OF A CLASS OF ANALOG-TO-DIGITAL CONVERTERS , 1992 .

[33]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[34]  Avideh Zakhor,et al.  New properties of sigma-delta modulators with DC inputs , 1992, IEEE Trans. Commun..

[35]  William Martin Snelgrove,et al.  A balanced 0.9- mu m CMOS transconductance-C filter tunable over the VHF range , 1992 .

[36]  V. Barbu Differential equations and control theory , 1992 .

[37]  Yannis Tsividis,et al.  Integrated continuous-time filter design , 1993, Proceedings of IEEE Custom Integrated Circuits Conference - CICC '93.

[38]  T. H. Pearce,et al.  Bandpass Sigma Delta A-D Conversion , 1993 .

[39]  HongMo Wang On the stability of third-order sigma-delta modulation , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[40]  J.X. Przybysz,et al.  Josephson sigma-delta modulator for high dynamic range A/D conversion , 1993, IEEE Transactions on Applied Superconductivity.

[41]  L. Longo A 15b 30kHz bandpass sigma-delta modulator , 1993 .

[42]  Avideh Zakhor,et al.  On the stability of sigma delta modulators , 1993, IEEE Trans. Signal Process..

[43]  Masaki Ishida,et al.  A 10-b 100-Msample/s pipelined subranging BiCMOS ADC , 1993 .

[44]  A. Wedel,et al.  An interpolative bandpass converter on a 1.2- mu m BiCMOS analog/digital array , 1993 .

[45]  S. C. Pinault,et al.  On the behavior of the double-loop sigma-delta modulator , 1993 .

[46]  S. Jantzi,et al.  A fourth-order bandpass sigma-delta modulator , 1993 .

[47]  Richard Schreier,et al.  An empirical study of high-order single-bit delta-sigma modulators , 1993 .

[48]  S. Hein Exploiting chaos to suppress spurious tones in general double-loop Sigma Delta modulators , 1993 .

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

[50]  R. Schreier On the use of chaos to reduce idle-channel tones in delta-sigma modulators , 1994 .

[51]  Donald A. Kerth,et al.  A 126 dB linear switched-capacitor delta-sigma modulator , 1994, Proceedings of IEEE International Solid-State Circuits Conference - ISSCC '94.

[52]  Willy Sansen,et al.  A high-frequency and high-resolution fourth-order /spl Sigma//spl Delta/ A/D converter in BiCMOS technology , 1994 .

[53]  Feng Chen,et al.  A High Resolution Multibit Sigma-delta Modulator With Individual Level Averaging , 1994, Proceedings of 1994 IEEE Symposium on VLSI Circuits.

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

[55]  Bo Zhang,et al.  Invariant sets for general second-order low-pass delta-sigma modulators with DC inputs , 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

[56]  Christofer Toumazou,et al.  A novel architecture for reducing the sensitivity of multibit sigma-delta ADCs to DAC nonlinearity , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[57]  Frank Murden,et al.  12b 50MSample/s two-stage A/D converter , 1995, Proceedings ISSCC '95 - International Solid-State Circuits Conference.

[58]  Bo Zhang,et al.  Proving stability of delta-sigma modulators using invariant sets , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[59]  Bo Zhang,et al.  A decimation filter architecture for GHz delta-sigma modulators , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[60]  R. H. Walden,et al.  A 3.2-GHz second-order delta-sigma modulator implemented in InP HBT technology , 1995, IEEE J. Solid State Circuits.

[61]  Terri S. Fiez,et al.  Improved /spl Delta//spl Sigma/ DAC linearity using data weighted averaging , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[62]  R. Schreier,et al.  Noise-shaped multbit D/A convertor employing unit elements , 1995 .

[63]  R. Baird,et al.  Linearity enhancement of multibit /spl Delta//spl Sigma/ A/D and D/A converters using data weighted averaging , 1995 .

[64]  Joonhee Kang,et al.  Characterization of a superconductive sigma-delta analog to digital converter , 1995, IEEE Transactions on Applied Superconductivity.

[65]  R. Schreier,et al.  Delta-sigma modulators employing continuous-time circuitry , 1996 .

[66]  H. Lin,et al.  Multi-bit DAC with noise-shaped element mismatch , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.