Short-window spectral analysis of cortical event-related potentials by adaptive multivariate autoregressive modeling: data preprocessing, model validation, and variability assessment

A new look at the statistical model identification

Akaike, H. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100705 · Cited by 51,879

The Jackknife, the Bootstrap and Other Resampling Plans

Efron, B. (1982) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970319 · Cited by 8,120

Random Data-Analysis and Measurement Procedures

Bendat, J. S., Piersol, A. G., & Saunders, H. (1989) · Journal of vibration and acoustics · doi:10.1115/1.3269865 · Cited by 6,401

Spectral Analysis and its Applications.

Freiberger, W. F., Jenkins, G. M., & Watts, D. G. (1969) · Journal of the American Statistical Association · doi:10.2307/2286100 · Cited by 4,990

Spectral Analysis for Physical Applications

Percival, D. B., & Walden, A. T. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622762 · Cited by 2,148

Episodic multiregional cortical coherence at multiple frequencies during visual task performance

Bressler, S. L., Coppola, R., & Nakamura, R. (1993) · Nature · doi:10.1038/366153a0 · Cited by 533

Recursive Multichannel Maximum Entropy Spectral Estimation

Morf, M., Vieira, A., Lee, D., & Kailath, T. (1978) · IEEE transactions on geoscience electronics · doi:10.1109/tge.1978.294569 · Cited by 259

Spectral analysis methods for neurological signals

Muthuswamy, J., & Thakor, N. V. (1998) · Journal of Neuroscience Methods · doi:10.1016/s0165-0270(98)00065-x · Cited by 196

Spectral analysis of EEG's by autoregressive decomposition of time series

Gersch, W. (1970) · Mathematical Biosciences · doi:10.1016/0025-5564(70)90049-0 · Cited by 150

The application of parametric multichannel spectral estimates in the study of electrical brain activity

Franaszczuk, P. J., Blinowska, K. J., & Kowalczyk, M. (1985) · Biological Cybernetics · doi:10.1007/bf00337149 · Cited by 137

Classification of BCI-EEG based on augmented covariance matrixPreprint

Carrara, I., & Papadopoulo, T. (2023) · arXiv (Cornell University) · doi:10.48550/arxiv.2302.04508 · Cited by 2

Multitaper Spectral Granger Causality with Application to Ssvep

Anderson, R., & Sandsten, M. (2020) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp40776.2020.9054388 · Cited by 1

Event-Related Potentials of the Cerebral Cortex

Bressler, S. L. (2022) · Neuromethods · doi:10.1007/978-1-0716-2631-3_5 · Cited by 1

Electrophysiological markers for anticipatory processing of nocebo-augmented pain

Blythe, J. S., Peerdeman, K. J., Veldhuijzen, D. S., Karch, J. D., & Evers, A. W. M. (2023) · PLoS ONE · doi:10.1371/journal.pone.0288968 · Cited by 1

Spectral Inference for High Dimensional Time Series

Zhang, C., & Zhang, D. (2025) · IEEE Transactions on Information Theory · doi:10.1109/tit.2025.3532614 · Cited by 1

Dynamic evolution of intracortical and corticomuscular connectivity during reach-and-grasp movement planning and execution

Sanchez-Bautista, J. A., Antelis, J., & Mendoza-Montoya, O. (2025) · Scientific Reports · doi:10.1038/s41598-025-32388-x · Cited by 1

Directed information flow across the metabolic network of the human brain

Deery, H. A., Moran, C., Liang, E., Egan, G. F., & Jamadar, S. D. (2026) · Network Neuroscience · doi:10.1162/netn.a.607 · Cited by 2

DWOCG: dynamic weighted ordinal connectivity graphs for EEG-based schizophrenia detection

Kose, M. R., Ahirwal, M. K., & Atulkar, M. (2026) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-026-02625-z · Cited by 1

ESTIMATING TEMPORAL ASSOCIATIONS IN ELECTROCORTICOGRAPHIC (ECoG) TIME SERIES WITH FIRST ORDER PRUNING

Hedlin, H., Boatman, D. F., & Caffo, B. S. (2010) · Collection of Biostatistics Research Archive · Cited by 1

Causal Relationships and Network Parameters in Effective Brain Connectivity

Niso, G., Pereda, E., Maestú, F., Gudn, M., Carrasco, S., & del Pozo, F. (2013) · InTech eBooks · doi:10.5772/56499 · Cited by 1

Cortical networks for audiovisual interactions during visual-affected auditory discrimination

Guo, X., Li, X., & Tong, S. (2015) · International IEEE/EMBS Conference on Neural Engineering · doi:10.1109/ner.2015.7146728 · Cited by 1

Detecting the Topology of a Neural Network from Partially Obtained Data Using Piecewise Granger Causality

Wu, X., Zhou, C., Wang, J., & Lu, J.-A. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-21105-8_21 · Cited by 1

EMG activity and neuronal activity in the internal globus pallidus (GPi) and their interaction are different between hemiballismus and apomorphine induced dyskinesias of Parkinson’s disease (AID)

Zhao, L., Verhagen-Metman, L., Kim, J. H., Liu, C. C., & Lenz, F. A. (2015) · Brain Research · doi:10.1016/j.brainres.2015.01.044 · Cited by 1

Linearity Abstractions in Scene Perception: Evaluating EEMD for Maximizing Task-related Information in Event Related Potentials

Sarkar, B., Sen, S., Dey, D., & Basu, A. (2016) · Procedia Computer Science · doi:10.1016/j.procs.2016.04.087 · Cited by 1

Directed Transfer Function

Kamiński, M., & Blinowska, K. J. (2014) · Frontiers in neuroengineering series/Frontiers in neuroengineering · doi:10.1201/b16550-4 · Cited by 1

Oscillations, metastability and phase transitions in brain and models of cognition

Werner, G. (2006) · CogPrints (University of Southampton) · Cited by 1

Cortico-cortical connectivity changes during motor execution associated with sensory gating to frontal cortex: An rTMS study

Fujiwara, Y., Aono, K., Takahashi, O., Masakado, Y., & Ushiba, J. (2023) · Neuroscience Informatics · doi:10.1016/j.neuri.2023.100136 · Cited by 1

A comparative study of EEG functional and effective connectivity patterns in children with learning difficulties during reading and math tasks

Liu, H., & Liu, H. (2025) · Frontiers in Neuroscience · doi:10.3389/fnins.2025.1612884 · Cited by 1

Structure analysis in an octocopter using piezoelectric sensors and machine learning

Koszewnik, A. P., Ambrożkiewicz, B., Ołdziej, D., Dzienis, P., Pieciul, M., Syta, A., Zaburko, J., Bouattour, G., Gargasas, J., & Bazienė, K. (2025) · Scientific Reports · doi:10.1038/s41598-025-17265-x · Cited by 1

Sparse multivariate autoregressive models with exogenous inputs for modeling intracerebral responses to direct electrical stimulation of the human brain

Chang, J.-Y., Pigorini, A., Seregni, F., Massimini, M., Nobili, L., & Veen, B. D. V. (2013) · Asilomar Conference on Signals, Systems and Computers (ACSSC) · doi:10.1109/acssc.2013.6810397 · Cited by 1

Stockwell Coherence and Its Application in Studying Motor Cortices under the Multi-Source Interference Task

Liu, C., Gaetz, W. C., & Zhu, H. (2009) · International Conference on Bioinformatics and Biomedical Engineering · doi:10.1109/icbbe.2009.5163426 · Cited by 1

Multivariate EEG Synchronization Strength Measures

Cui, D. Y., & Li, X. (2016) · Springer eBooks · doi:10.1007/978-981-10-1822-0_12 · Cited by 2

Modelado autorregresivo de señales electroencefalográficas para simuladores médicos

Restrepo, F. S., & Hernández, A. M. (2017) · Dialnet (Universidad de la Rioja) · Cited by 1

Application of Granger Causality in Decoding Covert Selective Attention with Human EEG

Niu, W., Jiang, Y., Zhang, Y., Zhang, X., & Yu, S. P. (2019) · International Conference on Biomedical Signal and Image Processing (ICBIP) · doi:10.1145/3354031.3354032 · Cited by 1

Auditory Sensing Systems: Overview

Denham, S. L. (2015) · Springer eBooks · doi:10.1007/978-1-4614-6675-8_764 · Cited by 1

Spectral Methods in Neural Data Analysis: Overview

Bressler, S. L. (2014) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-4614-7320-6_777-1 · Cited by 1

Transmission of brain activity in cognitive and motor tasks

Blinowska, K. J., Kamiński, M., Kuś, R., & Ginter, J. (2008) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2008.4649962 · Cited by 1

Functional Connectivity Of The Rodent Brain Using Optical Imaging

Guevara, E. (2013) · PolyPublie (École Polytechnique de Montréal) · doi:10.13140/rg.2.1.2896.0480 · Cited by 1

Evaluation of Functional Network Connectivity in Event-related FMRI Data Based on ICA and Time-frequency Granger Causality

Havlíček, M., Jan, J., Calhoun, V. D., Brázdil, M., & Mikl, M. (2009) · World Congress on Medical Physics and Biomedical Engineering, September 7 - 12, 2009, Munich, Germany · doi:10.1007/978-3-642-03882-2_191 · Cited by 1

NEUROPHYSIOLOGY | Seizure Onset and Propagation: Application of Advanced Signal Analysis to Intracranial Recordings

Jouny, C. C., Bergey, G. K., & Franaszczuk, P. J. (2009) · Elsevier eBooks · doi:10.1016/b978-012373961-2.00341-6 · Cited by 1

Brain Connectivity and Its Applications

Sanei, S., & Chambers, J. A. (2021) · Wiley eBooks · doi:10.1002/9781119386957.ch8 · Cited by 1

Connectivity of Brain Regions

Sanei, S. (2013) · Wiley eBooks · doi:10.1002/9781118622162.ch8

Extracting causal relations on auditory evoked potentials in response to amplitude modulated signals

Guéguin, M., Jeannès, R. L. B., & Faucon, G. (2004) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2003.1280428

Modulations of Single-Trial Interactions between the Auditory and the Visual Cortex during Prolonged Exposure to Audiovisual Stimuli with Fixed Stimulus Onset Asynchrony

Fillbrandt, A., & Ohl, F. W. (2011) · Studies in computational intelligence · doi:10.1007/978-3-642-24034-8_13

Applying the Short-Time Direct Directed Transfer Function to Human Electrocorticographic Recordings from a Language Task

Whaley, M. L. (2012) · Rice Research Repository (Rice University)

Short-window spectral analysis using amvar and multitaper methods

Hariharan, N. (2005) · International Conference on Signal Processing and Communications (SPCOM) · doi:10.1109/spcom.2004.1458364

Time Variant Causality Model Applied in Brain Connectivity Network Based on Event Related Potential

Yin, K., Zhao, X., & Yao, L. (2006) · Lecture notes in computer science · doi:10.1007/11893028_12

Coordination dynamics in large-scale cortical networks

Bressler, S. L., & Ding, M. (2003) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.1999.831466

Caracterização da conectividade entre regiões cerebrais via entropia aproximada e causalidade de Granger.

Massaroppe, L. (2011) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.3.2011.tde-04112011-140951

Functional network analysis of insight in resting-state brain activity

Hu, M., Kounios, J., Beeman, M. J., & Liang, H. (2011) · International Conference on Advanced Computational Intelligence (ICACI) · doi:10.1109/iwaci.2011.6160043

Optimally estimating Granger causalityPreprint

Luo, Q., Lu, W., Cheng, W., Valdes-Sosa, P. A., Wen, X., Ding, M., & Feng, J. (2012) · arXiv (Cornell University)

Time-frequency methods in a study of voluntary movements

Ginter, J., Blinowska, K. J., Kamiński, M., & Durka, P. J. (2005) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.2001.1020567

Evolving Signal Processing for Brain-Computer Interfaces This paper discusses the challenges associated with building robust and useful BCI models from accumulated biological knowledge and data, and the technical problems associated with incorporating multimodal physiological, behavioral, and contextual data that may become ubiquitous in the future.

Makeig, S., Kothe, C. A., Mullen, T. R., Bigdely-Shamlo, N., Zhang, Z., & Kreutz-Delgado, K. (2012)

Increased Oxidative/Nitrosative Stress in Bitches with Several Tumors

Ciarcia, R., Navas, L., Granato, G. E., Fiorito, F., Russo, R., & Florio, S. (2011) · Springer eBooks · doi:10.1007/978-3-642-23271-8_14

Connectivity in math-gifted adolescents: Comparing structural equation modeling with granger causality analysis

McMahon, A. (2011) · ThinkTech (Texas Tech University)

Spectral Analysis of Local Field Potentials from Rat Primary Visual Cortex (V1)

Ad, A. (2012) · Frontiers in Computational Neuroscience · doi:10.3389/conf.fncom.2012.55.00087

Effects of Prolonged Exposure to Audiovisual Stimuli with Fixed Stimulus Onset Asynchrony on Interaction Dynamics between Primary Auditory and Primary Visual Cortex

Fillbrandt, A., & Ohl, F. W. (2011) · Frontiers in neuroscience · doi:10.1201/9781439812174-21

Causality Analysis of Multivariate Neural Data

Kamiński, M., & Liang, H. (2012) · CRC Press eBooks · doi:10.1201/b12941-7

DRDO-IIScProgrammeon AdvancedResearchinMathematical Engineering

Nedungadi, A. G. (2009)

A NOVEL SYNERGISTIC MODEL FUSING ELECTROENCEPHALOGRAPHY AND FUNCTIONAL MAGNETIC RESONANCE IMAGING FOR MODELING BRAIN ACTIVITIES.

Michalopoulos, K. (2014) · OhioLink ETD Center (Ohio Library and Information Network)

Estimação da causalidade de Granger no caso de interação não-linear.

Massaroppe, L. (2016) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/t.3.2016.tde-20122016-083110

Algoritmos para inferência de conectividade neural em potenciais evento-relacionados.

Rodrigues, P. L. C. (2017) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.3.2017.tde-17032017-094453

Isolating neural indices of continuous speech processing from multivariate neural data

Liberto, D., & de Marco, G. (2017) · Arrow@dit (Dublin Institute of Technology)

A Short Window Granger Causality Approach to Identify Brain Functional Pattern Associated with Changes of Performance Induced by Sleep Deprivation

Li, M. (2014) · Journal of International Crisis and Risk Communication Research

Estimation of Sparse Directional Connectivity With Expectation Maximization

Khayambashi, M., & Swindlehurst, A. L. (2018) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2018.2881665

Adaptive nonlinear multivariate brain connectivity analysis of motor imagery movements using graph theory

Hamedi, M. (2016)

Reduced interhemispheric and increased intrahemispheric connectivity in schizophrenia brain networksPreprint

Laton, J., Schependom, J. V., Decoster, J., Moons, T., Binder, M. D., Nagels, G., & Vos, M. D. (2019) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/755173

Acceleration of Sparse Vector Autoregressive Modeling Using GPUs

Venkataramanan, S. B., Garg, R. D., & Sabharwal, Y. (2019) · IEEE International Conference on High Performance Computing, Data, and Analytics · doi:10.1109/hipc.2019.00029

Hypnotizability-Related Effects of Pain Expectation on the Later Modulation of Cortical Connectivity

Zarei, S.-P., Briscese, L., Capitani, S., Rossi, B., Carboncini, M. C., Santarcangelo, E. L., & Nasrabadi, A. M. (2020) · International Journal of Clinical and Experimental Hypnosis · doi:10.1080/00207144.2020.1762196 · Cited by 2

Application of statistical analysis to working memory problemPreprint

Erofeeva, A., & Zakharova, T. V. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2006.16850

Ability of Granger Causality Analysis to Detect Indirect Links: A Simulation Study

Falasca, N. W., & Franciotti, R. (2020) · Nonlinear Phenomena in Complex Systems · doi:10.33581/1561-4085-2020-23-2-121-124

Delineating single subject oscillatory brain networks with Spatio-Spectral EigenmodesPreprint

Quinn, A. J., Green, G. G. R., & Hymers, M. (2020) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2020.06.21.157412

Cardiac adenylyl cyclase type 8 overexpression increases locomotor activity in mice by modulating EEG-gamma oscillationsPreprint

Agrimi, J., Menicucci, D., Qu, J.-H., Laurino, M., Mackey, C. D., Hasnain, L., Tarasova, Y. S., Tarasov, K. V., McDevitt, R. A., Hoover, D. B., et al. (2021) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2021.07.19.452502

Bibliography and References

(2001) · Biomedical engineering series · doi:10.1201/9781420041200-b

Network Routing Simulation Using MATLAB

Le, D., Pandey, A., Tadepalli, S., Rathore, P. S., & Chatterjee, J. M. (2019) · doi:10.1002/9781119631477.ch5

Causality Analysis of Multivariate Neural Data

Kamiński, M., & Liang, H. (2012) · CRC Press eBooks · doi:10.1201/b12941-8

Spectral Methods in Neural Data Analysis: Overview

Bressler, S. L. (2020) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-4614-7320-6_777-2

Spectral Methods in Neural Data Analysis: Overview

Bressler, S. L. (2022) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-0716-1006-0_777

Spectral Methods in Neural Data Analysis: Overview

Bressler, S. L. (2015) · Encyclopedia of Computational Neuroscience · doi:10.1007/978-1-4614-6675-8_777

Estimation of the Functional Connectivity from Stationary Data by Multivariate Autoregressive Methods

Astolfi, L., & Babiloni, F. (2008) · Synthesis lectures on biomedical engineering · doi:10.1007/978-3-031-01622-6_2

The Instantaneous Estimation of the Time-Varying Cortical Connectivity by Adaptive Multivariate Estimators

Astolfi, L., & Babiloni, F. (2008) · Synthesis lectures on biomedical engineering · doi:10.1007/978-3-031-01622-6_7

Estimation of Task-Evoked Directed Functional Connectivity by Cross-Mapping Psychophysiological VariablesPreprint

Ghouse, A., Schultz, J., & Valenza, G. (2022) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2022.10.21.513137

Reviewer #1 (Public Review): Spectrally and temporally resolved estimation of neural signal diversity

(2023) · doi:10.7554/elife.88683.1.sa1

CardioRVAR: A New R Package and Shiny Application for the Evaluation of Closed-Loop Cardiovascular Interactions

Chao-Écija, Á., López-González, M. V., & Dawid-Milner, M. S. (2023) · Biology · doi:10.3390/biology12111438

Time-variant Granger causality analysis for intuitive perception collision risk in driving scenario: an EEG study

Wang, Z., Liang, J., Shi, S., Zhai, P., & Zhang, L. (2025) · Frontiers in Neuroscience · doi:10.3389/fnins.2025.1604751 · Cited by 1

Entropic measures of connectivity with an application to intracerebral epileptic signals

Zhu, J. (2016) · theses.fr (ABES) · doi:10.70675/4999f639zef40z44f4z8617z8d4d3e129bb5

Resting-state EEG functional connectivity analysis in benign childhood epilepsy and neonate

Adebimpe, A. (2016) · theses.fr (ABES) · doi:10.70675/24b394a3zd618z4e1ezbf52z364f1629a084

Mécanismes centraux de contrôle de la motricité saine et altérée : rôle fonctionnel de la dynamique des couplages cortico-musculaires

Fauvet, M. (2022) · doi:10.70675/7a50b069z5451z4de7zb54bz3dbe91adc158

Temporal and Spectral Neural Complexity Reveal Graded Auditory AwarenessPreprint

Liardi, A., Bor, D., Rosas, F. E., & Mediano, P. A. M. (2026) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.64898/2026.04.20.719685

A multi-metric profiling of OFC subregion connectivity identifies system-level alterations in major depressive disorder

Wen, X., Han, B., Zhang, J., Gao, Y., Fengge, Y., Dou, F., Hao, Z., Li, H., & Hou, G. (2026) · Journal of Affective Disorders · doi:10.1016/j.jad.2026.122383

Time-resolved spectral parameterization: Recommendations and guidelines

Cellier, D., Smith, S. E., Preston, M., van Engen, Q., Kosik, E. L., Bender, A., Hammonds, R., & Voytek, B. (2026) · Neuron · doi:10.1016/j.neuron.2026.08.009 · Cited by 1

Nonlinear and network characterization of brain function using functional MRI

Deshpande, G. (2007) · SMARTech Repository (Georgia Institute of Technology)

Dynamic cross-spectral analysis of event-related EEG using ensemble averages

Florian, G., & Pfurtscheller, G. (2002) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/iembs.1995.579252 · Cited by 1

Multivariate spectral methods for the analysis of event-related brain potentials

Rawlings, R. R., Eckardt, M. J., & Begleiter, H. (1988) · Computers and Biomedical Research · doi:10.1016/0010-4809(88)90020-1 · Cited by 1

Parametric methods of dynamic spectral analysis non-stationary biological signals

Schack, B., Grießbach, G., Bareshova, E., Ch., A., Schumann, N.-P., & Florian, G. (1996) · Studies in health technology and informatics · doi:10.3233/978-1-60750-878-6-744

A multivariate time varying autoregressive modeling of nonstationary covariance time series

Gersch, W., Gevins, A. S., & Kitagawa, G. (1983) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.1983.269585 · Cited by 14

Dynamic spectral analysis of event-related EEG data

Florian, G., & Pfurtscheller, G. (1995) · Electroencephalography and Clinical Neurophysiology · doi:10.1016/0013-4694(95)00198-8 · Cited by 86