Abstract:
The fact that VCO-ADCs produce noise-shaped quantization noise suggests that a link between frequency modulation and Sigma-Delta modulation should exist. The connection b...Show MoreMetadata
Abstract:
The fact that VCO-ADCs produce noise-shaped quantization noise suggests that a link between frequency modulation and Sigma-Delta modulation should exist. The connection between a VCO-ADC and a first-order Sigma-Delta modulator has been already explained using Pulse Frequency Modulation. In this article, we attempt to extend this explanation to a generic Sigma-Delta modulator. We show that the link between Sigma-Delta modulation and Pulse Frequency Modulation relies in a sampling invariance property that defines the equivalence between both entities. This equivalence property, allows to go beyond the white quantization noise model of a Sigma-Delta modulator, revealing the origin of some nonlinear phenomena. We first predict spurious tones which cannot be explained by circuit non linearity. Multi-bit and single-bit modulators are shown to belong to a same generic class of systems. Finally, quantizer overload is analyzed using our model. The results are applied to Continuous-Time Sigma-Delta modulators of orders one, two and three and then extended to a generic case.
Published in: IEEE Circuits and Systems Magazine ( Volume: 24, Issue: 2, Secondquarter 2024)
Department of Electronic Technology, Carlos III University, Madrid, Leganes, Spain
Victor Medina (Graduate Student Member, IEEE) received the B.Sc. and M.Sc. degrees in electronic engineering from the Carlos III University of Madrid, Spain, in 2018 and 2019, respectively, where he is currently pursuing the Ph.D. degree. In 2022, he did a four-month internship at Infineon Technologies, Villach, Austria. His current research interests include mixed-signal integrated circuit design and time-encoded systems...Show More
Victor Medina (Graduate Student Member, IEEE) received the B.Sc. and M.Sc. degrees in electronic engineering from the Carlos III University of Madrid, Spain, in 2018 and 2019, respectively, where he is currently pursuing the Ph.D. degree. In 2022, he did a four-month internship at Infineon Technologies, Villach, Austria. His current research interests include mixed-signal integrated circuit design and time-encoded systems...View more
ELIS, Ghent University, Ghent, Belgium
Pieter Rombouts (Senior Member, IEEE) received the Ir. and Ph.D. degrees from Ghent University in 1994 and 2000, respectively. He is currently a Professor of analog electronics with Ghent University. His research interests include signal processing, circuits and systems theory, analog circuit design, and sensor systems. The main focus of his research has been on A/D and D/A conversion. In the past, he has served as an Ass...Show More
Pieter Rombouts (Senior Member, IEEE) received the Ir. and Ph.D. degrees from Ghent University in 1994 and 2000, respectively. He is currently a Professor of analog electronics with Ghent University. His research interests include signal processing, circuits and systems theory, analog circuit design, and sensor systems. The main focus of his research has been on A/D and D/A conversion. In the past, he has served as an Ass...View more
Department of Electronic Technology, Carlos III University, Madrid, Leganes, Spain
Luis Hernandez-Corporales (Senior Member, IEEE) received the M.S. and Ph.D. degrees in telecommunication engineering from the Polytechnic University of Madrid in 1989 and 1995, respectively. He did a postdoctoral stay at the ECE Department, Oregon State University, in 1996, and Analog Devices, Willmington, USA in 1997. In 1998, he joined the University Carlos III of Madrid, where he is currently Full Professor with the El...Show More
Luis Hernandez-Corporales (Senior Member, IEEE) received the M.S. and Ph.D. degrees in telecommunication engineering from the Polytechnic University of Madrid in 1989 and 1995, respectively. He did a postdoctoral stay at the ECE Department, Oregon State University, in 1996, and Analog Devices, Willmington, USA in 1997. In 1998, he joined the University Carlos III of Madrid, where he is currently Full Professor with the El...View more
Contents Department of Electronic Technology, Carlos III University, Madrid, Leganes, Spain
Victor Medina (Graduate Student Member, IEEE) received the B.Sc. and M.Sc. degrees in electronic engineering from the Carlos III University of Madrid, Spain, in 2018 and 2019, respectively, where he is currently pursuing the Ph.D. degree. In 2022, he did a four-month internship at Infineon Technologies, Villach, Austria. His current research interests include mixed-signal integrated circuit design and time-encoded systems theory.
Victor Medina (Graduate Student Member, IEEE) received the B.Sc. and M.Sc. degrees in electronic engineering from the Carlos III University of Madrid, Spain, in 2018 and 2019, respectively, where he is currently pursuing the Ph.D. degree. In 2022, he did a four-month internship at Infineon Technologies, Villach, Austria. His current research interests include mixed-signal integrated circuit design and time-encoded systems theory.View more
ELIS, Ghent University, Ghent, Belgium
Pieter Rombouts (Senior Member, IEEE) received the Ir. and Ph.D. degrees from Ghent University in 1994 and 2000, respectively. He is currently a Professor of analog electronics with Ghent University. His research interests include signal processing, circuits and systems theory, analog circuit design, and sensor systems. The main focus of his research has been on A/D and D/A conversion. In the past, he has served as an Associate Editor for IEEE Transactions on Circuits and Systems- I, IEEE Transactions on Circuits andSystems-II, and Electronics Letters.
Pieter Rombouts (Senior Member, IEEE) received the Ir. and Ph.D. degrees from Ghent University in 1994 and 2000, respectively. He is currently a Professor of analog electronics with Ghent University. His research interests include signal processing, circuits and systems theory, analog circuit design, and sensor systems. The main focus of his research has been on A/D and D/A conversion. In the past, he has served as an Associate Editor for IEEE Transactions on Circuits and Systems- I, IEEE Transactions on Circuits andSystems-II, and Electronics Letters.View more
Department of Electronic Technology, Carlos III University, Madrid, Leganes, Spain
Luis Hernandez-Corporales (Senior Member, IEEE) received the M.S. and Ph.D. degrees in telecommunication engineering from the Polytechnic University of Madrid in 1989 and 1995, respectively. He did a postdoctoral stay at the ECE Department, Oregon State University, in 1996, and Analog Devices, Willmington, USA in 1997. In 1998, he joined the University Carlos III of Madrid, where he is currently Full Professor with the Electronic Technology Department and leads the mixed signal research group. He has been the Department Head and Ph.D. Program Director. In 2009, he did a sabbatical stay at IMEC, Leuven, Belgium. He has coauthored three books, over 170 papers, and holds 25 patents. His topics of interest are analog microelectronics, Sigma-Delta modulation time-encoded data converters, and neural networks. He is a member of the IEEE-CAS ASPTC Committee. He has been an Associate Editor of IEEE Transactions on Circuits and Systems I and II for 9 years.
Luis Hernandez-Corporales (Senior Member, IEEE) received the M.S. and Ph.D. degrees in telecommunication engineering from the Polytechnic University of Madrid in 1989 and 1995, respectively. He did a postdoctoral stay at the ECE Department, Oregon State University, in 1996, and Analog Devices, Willmington, USA in 1997. In 1998, he joined the University Carlos III of Madrid, where he is currently Full Professor with the Electronic Technology Department and leads the mixed signal research group. He has been the Department Head and Ph.D. Program Director. In 2009, he did a sabbatical stay at IMEC, Leuven, Belgium. He has coauthored three books, over 170 papers, and holds 25 patents. His topics of interest are analog microelectronics, Sigma-Delta modulation time-encoded data converters, and neural networks. He is a member of the IEEE-CAS ASPTC Committee. He has been an Associate Editor of IEEE Transactions on Circuits and Systems I and II for 9 years.View more
