Professor Stephen A Billings

BEng, PhD, DEng, CEng, CMath, CSci, FIEE, FIMA

Department of Automatic Control and Systems Engineering

Emeritus Professor

Stephen Billings

Full contact details

Professor Stephen A Billings
Department of Automatic Control and Systems Engineering
Amy Johnson Building
Portobello Street
S1 3JD

Stephen A Billings is a leading authority on nonlinear system identification, signal processing and analysis in the time, frequency, and spatio-temporal domains. As an original member of the list of the most Highly Cited Researchers in the world his work has been cited over 20,212 times with a h-index of 67, and he is ranked as the UK’s third most cited researcher across all engineering disciplines, based on information from the Web of Science. Google Scholar gives over 32,986 citations and an h-index of 82.

Stephen Billings Research Interests (PDF, 483KB)

Research interests

Identification of nonlinear systems, NARMAX methods, signal and information processing for nonlinear systems, model validation, spectral analysis for nonlinear systems, nonlinear time series analysis and forecasting, machine learning and neural networks, wavelets, fractals, nonlinear filtering and smoothing, analysis and control of nonlinear and chaotic systems, self tuning, fault detection, dynamic modelling of nonlinear continuous time processes, adaptive noise cancellation, machine vision, mobile robots, cellular automata, spatio-temporal systems, neuro-imaging including fMRI and diffuse optical tomography, bio-imaging, financial modelling, modelling for biology, systems and synthetic biology, stem cell population dynamics, reaction-diffusion systems and crystal growth.

Centre for Signal Processing and Complex Systems


(From 2000 onwards)

EPSRC, S A Billings and G R Tomlinson, `Estimation, Analysis and Synthesis of Nonlinear Systems´, 1.2.97 to 31.1.02, £131,535

EPSRC, Y Zheng, S A Billings, J E W Mayhew, P J Coffey, `Identification and Analysis of Spatio-Temporal Systems with Applications to Brain Imaging´, 1.7.97 to 30.6.02, £272,620

EPSRC, S A Billings, `Wavelet Modelling of Nonlinear Systems´, 22.02.99 to 21.02 2002, £134,156

EPSRC, S A Billings and G R Tomlinson, `Frequency Domain Estimation and Filtering for Nonlinear Systems´, 01.02.2000 to 31.01.2003, £167,637

EPSRC, S A Billings, `Identification of Spatio-Temporal Dynamical Systems´, 01.07.00 to 30.06.03, £212,573

EPSRC ROPA Award, G R Tomlinson, S A Billings and Z Q Lang, `A Novel Approach to Vibration Attenuation Exploiting Nonlinear Energy Transfer Concepts´, 01.10.02 to 31.09.04, £136,931

EPSRC, Y Zheng, S A Billings, and J E W Mayhew, `Identification and Modelling of Haemodynamic Response and Oxygen Delivery Brain´, 01.03.02 to 31.08.05, £223,788

EPSRC, S A Billings, `Identification of Engineering Systems that Exhibit Sub Harmonics´, 01.10.02 to 31.09.05, £208,476

EPSRC, S A Billings, `Identification and Analysis of Spatio Temporal Systems´, 01.08.03 to 31.07.06, £244,255

EPSRC, U Nehmzow and S A Billings, `Robot MODIC: Modelling Identification and Characterisation of Robot Environment Interaction´, 01.01.04 to 31.12.06, £193,722

SRIF Funding, J E W Mayhew et al, S A Billings, 'Neuroscience Imaging Initiative', 2005 to 2006, £1.08M

EPSRC Platform Grant, S A Billings, V Kadirkamanathan, Z Q Lang, D Coca, M Balikhin, `System Identification and Signal Processing for Complex Systems´, 03.01.05 to 02.01.10, £422,571

EPSRC, S A Billings, `Identification and Analysis of Nonlinear Systems in the Time and the Frequency Domain´, 01.10.05 to 31.03.09, £256,875

EPSRC, S A Billings, Y Zheng, J Martingdale, D Coca and J E W Mayhew, `System Identification and Signal Processing for Neuro-Imaging data Analysis´, 02.01.06 to 01.11.09, £264,277

EPSRC, S A Billings, D Coca, `System Identification and Model validation for Spatio-Temporal Dynamical Systems´, 01.08.06 to 31.07.09, £295,373

The Leverhulme Trust, U Nehmzow and S A Billings, `System Identification for Rapid Generation of Transparent, Analysable Control Code for Autonomous Mobile Robots´, 1.07.07 to 1.04.2011, £129,887

EPSRC, Z Q Lang, S A Billings, G R Tomlinson, 'New Generation Damping Technologies', 01.05.08 to 30.04.2011, £378,519

BBSRC, P Wright et al including S A Billings, 'Microbial Applications to Tissue Engineering: An Exemplar Network for Synthetic Biology', 01.06.08 to 31.05.2011, £135,520

BBSRC, S McNeil et al including ACSE staff S A Billings, V Kadirkamanathan, D Coca, 'Doctoral Training Grant for ten four-year PhD studentships at the interface between Medicine, the Life Sciences, Engineering and Chemistry', 2009-2013, £763,459

Advanced Investigator Grant of the European Research Council, S A Billings, 'Nonlinear Systems Identification and Analysis in the Time, Frequency, and Spatio-Temporal Domains', 1.04.2009 to 31.03.2014, 1,947,104

EPSRC, S A Billings, D Coca, 'Spatio-Temporal Systems Estimation, Modelling and Analysis', 02.02.2010 to 30.06.2014, £499,542

EPSRC Platform Grant, S A Billings, V Kadirkamanathan, Z Q Lang, D Coca, M Balikhin, H L Wei, `System Identification and Information Processing for Complex Systems´, 04.01.2010 to 30.06.2015, £1,205,632

BBSRC, D Coca, M Juusola, S A Billings, 'Reverse Engineering Drosophila's Retinal Networks' 01.08.2010 to 01.01.2014, £532,115

NERC, G R Bigg, E Hanna, V Kadirkamanathan, S A Billings, 'A century of variability in Greenland melting and iceberg calving' 02.01.2011 to 01.01.2014, £311,959

The Ryder Briggs Charity, PG Sarrigiannis, Y Zhao, H L Wei, F He, S A Billings, "The thalamic clock and the cortical focus theory in childhood absence epilepsy—an insight with a new approach of quantitative EEG analysis in the time domain: the error reduction ratio method”, 01.04.2013 to 30.03.2014, £8,378

BBSRC, Y Zheng, J Berwick, A J Kennerley, M Jones, S A Billings, D Coca, E Milne and P Redgrave, 'Understanding neural excitation and inhibition: Implications for the interpretation of extracellular field potentials and neurovascular coupling', 01.05.2013 to 31.04.2016, £615,105

EPSRC Frontier Engineering Award, M J Hounslow, D Lacroix, M Viceconti, S A Billings, V Kadirkamanathan, A Pavic, E McCloskey, T Skerry, 'Modelling Complex and Partially Identified Engineering Problems — Application to the Individualised Multi-scale Simulation of the Musculoskeletal System', 01.09.2013 to 31.08 2018, £6.7M

EU Horizon 2020, R Von Fay-Siebenburgen, S N Walker, M A Balikhin, S A Billings, H L Wei, V Fedun et al, 'Prediction of Grespace Radiation Environment and Solar Wind Parameters (PROGRESS)', 02.01.2015 to 01.01 2018, 2,358,232

Alzheimer's Research UK, D Blackburn, P Sarrigiannis, S A Billings, 'Developing a new biomarker for the early diagnosis of dementia; a novel nonlinear signal processing approach using resting state EEG', 01.10.2014 to 31.09.2015, £29,80

Professional activities
  • Member of the EPSRC College
  • Referee for several international funding bodies
  • Referee for many journals
  • International Program Committees
  • External Examiner for higher degrees
  • Advisor and consultant to several companies both in the UK and internationally
Chapter downloads

Chapter 3: Nonlinear system identification (PDF, 235 KB)