Nonlinear Stability Prediction of Multibit Delta-Sigma Modulators for Sinusoidal Inputs

Article

Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2014. Nonlinear Stability Prediction of Multibit Delta-Sigma Modulators for Sinusoidal Inputs. IEEE Transactions on Instrumentation and Measurement. 63 (1), pp. 18-26.
AuthorsLota, J., Al-Janabi, Mohammed and Kale, Izzet
Abstract

This paper proposes a novel algorithm that can be integrated with various design and evaluation tools, to more accurately
and rapidly predict stability in multi-bit delta-sigma (Δ-Σ) modulators. Analytical expressions using the nonlinear gains from the
concept of modified nonlinearity in control theory are incorporated into the mathematical model of multi-bit Δ-Σ modulators to predict
the stable amplitude limits for sinusoidal input signals. The nonlinear gains lead to a set of equations which can numerically estimate
the quantizer gain as a function of the input sinusoidal signal amplitude. This method is shown to accurately predict the stable
amplitude limits of sinusoids for 2nd-, 3rd-, 4th-, 5th- and 6th-order 3- and 5-level mid-tread quantizer based Δ-Σ modulators. The
algorithm is simple to apply and can be extended to midrise quantizers or to any number of quantizer levels. The only required input
parameters for this algorithm are the number of quantizer levels and the coefficients of the noise transfer function.

JournalIEEE Transactions on Instrumentation and Measurement
Journal citation63 (1), pp. 18-26
ISSN1557-9662
0018-9456
Year2014
PublisherIEEE
Accepted author manuscript
License
CC BY-NC-ND
Web address (URL)http://dx.doi.org/10.1109/TIM.2013.2273597
Publication dates
Print2014
Publication process dates
Deposited21 Jan 2014
Copyright information(c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Permalink -

https://repository.uel.ac.uk/item/85v54

Log in to edit

Download files

Accepted author manuscript
2014_Lota_et-al.pdf
License: CC BY-NC-ND

  • 155
    total views
  • 392
    total downloads
  • 5
    views this month
  • 4
    downloads this month

Export as

Related outputs

Utilizing machine Learning Techniques to Predict State-of-Charge in Li-ion Batteries
Khatri, A., Lota, J., Nepal, P. and Amirhosseini, M. H. 2024. Utilizing machine Learning Techniques to Predict State-of-Charge in Li-ion Batteries. IS'24: 12th IEEE International Conference on Intelligent Systems. Varna, Bulgaria 29 - 31 Aug 2024 IEEE. https://doi.org/10.1109/IS61756.2024.10705192
Low Power Analog Processing for Ultra-High-Speed Receivers with RF Correlation
Lota, J. and Demosthenous, A. 2023. Low Power Analog Processing for Ultra-High-Speed Receivers with RF Correlation. IEEE Access. 11, pp. 37944-37957. https://doi.org/10.1109/ACCESS.2023.3253042
mmWave V2V Localization in MU-MIMO Hybrid Beamforming
Lota, J., Ju, S., Kanhere, O., Rappaport, T. S. and Demosthenous, A. 2022. mmWave V2V Localization in MU-MIMO Hybrid Beamforming. IEEE Open Journal of Vehicular Technology. 3, pp. 210-220. https://doi.org/10.1109/OJVT.2022.3170522
Dictionary selection for Compressed Sensing of EEG signals using sparse binary matrix and spatiotemporal sparse Bayesian learning
Dey, M., Shiraz, A., Sharif, S., Lota, J. and Demosthenous, A. 2020. Dictionary selection for Compressed Sensing of EEG signals using sparse binary matrix and spatiotemporal sparse Bayesian learning. Biomedical Physics and Engineering Express. 6 (Art. 065024). https://doi.org/10.1088/2057-1976/abc133
SmartDR: A Device-to-Device Communication for Post-Disaster Recovery
Hossain, Md A., Ray, S. K. and Lota, J. 2020. SmartDR: A Device-to-Device Communication for Post-Disaster Recovery. Journal of Network and Computer Applications. 171 (Art. 102813). https://doi.org/10.1016/j.jnca.2020.102813
Low Computational Sensing with Goertzel Filtering for Mobile Industrial IoT Devices
Lota, J. and Demosthenous, A. 2020. Low Computational Sensing with Goertzel Filtering for Mobile Industrial IoT Devices. ISCAS 2020: IEEE International Symposium on Circuits & Systems. Virtual Event 10 - 21 Oct 2020 IEEE. https://doi.org/10.1109/ISCAS45731.2020.9180896
5G Uniform linear arrays with beamforming and spatial multiplexing at 28 GHz, 37 GHz, 64 GHz and 71 GHz for outdoor urban communication: A two-level approach
Lota, J., Sun, Shu, Rappaport, Theodore S. and Demosthenous, Andreas 2017. 5G Uniform linear arrays with beamforming and spatial multiplexing at 28 GHz, 37 GHz, 64 GHz and 71 GHz for outdoor urban communication: A two-level approach. IEEE Transactions on Vehicular Technology. 66 (11), pp. 9972-9985. https://doi.org/10.1109/TVT.2017.2741260
5G innovation opportunities-- A discussion paper
Rhodes, Dan, Barker, David, Happy, David, Humphreys, David, Lund, David, Hamid, Falaki, Varrall, Geoff, Macdonald, Graham, Lota, J., Barrett, Mark, Beach, Mark, Fitch, Michael, Green, Mike, Dohler, Mischa, Juwad, Mohaned, Jenkins, Paul, Ni, Qiang, Tafazoli, Rahim, Sivalingam, Raj, Baban, Shaswar, Fletcher, Simon, Methley, Steve, Revell, Stuart, O'Farrell, Timothy, Webb, William and Ding, Zhiguo 2016. 5G innovation opportunities-- A discussion paper. Future Technologies Network, techUK.
Power control in cognitive radios, Internet-of Things (IoT) for factories and industrial automation
Etim, Ifiok E. and Lota, J. 2016. Power control in cognitive radios, Internet-of Things (IoT) for factories and industrial automation. IEEE Conference of Industrial Electronics, IEEE IECON 2016. Florence, Italy 24 - 27 Oct 2016 IEEE. pp. 4701-4705 https://doi.org/10.1109/IECON.2016.7793782
Q-enhancement with on-chip inductor optimization for reconfigurable Δ-Σ radio-frequency ADC
Lota, J. and Demosthenous, Andreas 2015. Q-enhancement with on-chip inductor optimization for reconfigurable Δ-Σ radio-frequency ADC. IEEE 13th International New Circuits and Systems Conference (NEWCAS), 2015. Grenoble, France 07 - 10 Jun 2015 IEEE. pp. 1-4
Introduction to the Special Issue on Biomedical and Bioelectronic Circuits for Enhanced Diagnosis and Therapy
Rieger, Robert, Lota, J. and Liu, Xiao 2015. Introduction to the Special Issue on Biomedical and Bioelectronic Circuits for Enhanced Diagnosis and Therapy. IEEE Transactions on Circuits and Systems II: Express Briefs. 62 (2), pp. 101-103. https://doi.org/10.1109/TCSII.2014.2384111
Bit Error Rate performance in Power Line Communication Channels with Impulsive Noise
Najarkolaei, Ali Hosseinpour, Hosny, Wada and Lota, J. 2015. Bit Error Rate performance in Power Line Communication Channels with Impulsive Noise. Al-Dabass, David, Orsoni, Alessandra, Cant, Richard, Ibrahim, Zuwairie and Saad, Ismail (ed.) UKSim-AMSS 17 th International Conference on Computer Modelling and Simulation. Cambridge, UK 25 - 27 Mar 2015 Cambridge IEEE Computer Society. pp. 248-254
Data transfer over low-voltage European power distribution networks
Najarkolaei, Ali Hosseinpour, Lota, J. and Hosny, Wada 2012. Data transfer over low-voltage European power distribution networks. Universities Power Engineering Conference (UPEC), 47th International. Brunel University, London 04 - 07 Sep 2012 IEEE. pp. 1-5
Nonlinear Model-Based Approach for Accurate Stability Prediction of One-Bit Higher-Order Delta-Sigma (Δ-Σ)Modulators
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2013. Nonlinear Model-Based Approach for Accurate Stability Prediction of One-Bit Higher-Order Delta-Sigma (Δ-Σ)Modulators. IEEE Transactions on Instrumentation and Measurement. 62 (4), pp. 686-692.
Accurate stability prediction of 1-bit higher-order Δ-Σ modulators for multiple-sinusoidal inputs
Lota, J. 2012. Accurate stability prediction of 1-bit higher-order Δ-Σ modulators for multiple-sinusoidal inputs. Journal of the IET Circuits, Devices & Systems. 6 (2), pp. 71-78.
Accurate stability prediction of single-bit higher-order Δ-Σ modulators for Speech Codecs
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2011. Accurate stability prediction of single-bit higher-order Δ-Σ modulators for Speech Codecs. Proceedings IEEE International Symposium on Circuits & Systems -ISCAS 2011. Rio de Janeiro, Brazil 15 - 18 May 2011
ETSI Reconfigurable Radio Systems – Status and Future Directions on Software Defined Radio and Cognitive Radio Standards
Mueck, Markus, Piipponen, Antti, Dimitrakopoulos, George, Tsagkaris, Kostas, Casadevall, Fernando, Demestichas, Panagiotis, Perez-Romero, Jordi, Sallent, Oriol, Baldini, Gianmarco, Filin, Stanislav, Harada, Hiroshi, Debbah, Merouane, Haustein, Thomas, Gebert, Jens, Deschamps, Benoist, Bender, Paul, Street, Michael, Kalliojarvi, Kari, Kandeepan, Sithamparanathan, Lota, J. and Hayar, Aawatif 2010. ETSI Reconfigurable Radio Systems – Status and Future Directions on Software Defined Radio and Cognitive Radio Standards. Communications Magazine, IEEE. 48 (9), pp. 78-86.
Design of a Delta-Sigma (Δ-Σ) Based Digital-to-Analog Converter for TETRA-2 Transmitter
Lota, J. 2010. Design of a Delta-Sigma (Δ-Σ) Based Digital-to-Analog Converter for TETRA-2 Transmitter. IEEE International Instrumentation & Measurement Technology Conference. (IMTC 2010) Austin Texas USA
Stability analysis of higher-order delta-sigma modulators using the describing function method
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2006. Stability analysis of higher-order delta-sigma modulators using the describing function method. Proceedings of the IEEE International Symposium on Circuits and Systems, 2006: ISCAS 2006. IEEE, Los Alamitos, USA 593-596
Tonality index of sigma-delta modulators: a psychoacoustics model based approach
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2007. Tonality index of sigma-delta modulators: a psychoacoustics model based approach. Proceedings of the IEEE International Symposium on Circuits and Systems 2007, (ISCAS 2007). IEEE, Los Alamitos, USA
Stability Analysis of Higher-Order Delta-Sigma Modulators for Dual Sinusoidal Inputs
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2007. Stability Analysis of Higher-Order Delta-Sigma Modulators for Dual Sinusoidal Inputs. Proceedings of the IEEE Instrumentation and Measurement Technology Conference, Warsaw, Poland, May 1-3, 2007. IEEE, Los Alamitos, USA
Nonlinear-Stability Analysis of Higher Order Δ–Σ Modulators for DC and Sinusoidal Inputs
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2008. Nonlinear-Stability Analysis of Higher Order Δ–Σ Modulators for DC and Sinusoidal Inputs. IEEE Transactions on Instrumentation and Measurement. 57 (3), pp. 530-542.
System and circuit level design and analysis of a 16-bit sigma-delta ADC for a TETRA-2 network mobile station application
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2008. System and circuit level design and analysis of a 16-bit sigma-delta ADC for a TETRA-2 network mobile station application. 2008 IEEE Instrumentation and Measurement Technology Conference (IMTC 2008). Victoria, British Columbia, Canada 12 - 15 May 2008 IEEE. pp. 663-667 https://doi.org/10.1109/IMTC.2008.4547119
A Study on the Effects of Accumulated and Independent Clock Jitter on Discrete-Time Delta- Sigma Modulators
Lota, J., Al-Janabi, Mohammed and Kale, Izzet 2005. A Study on the Effects of Accumulated and Independent Clock Jitter on Discrete-Time Delta- Sigma Modulators. Instrumentation and Measurement Technology Conference (IMTC 2005). Ottawa, CA 17 - 19 May 2005 IEEE. pp. 786-790