Evaluation of signal space separation via simulation

Signal space separation (SSS) method is an advanced signal-processing approach that can be used to recover bio-magnetic signal and remove external disturbance in empirical magnetoencephalography (MEG) measurements. SSS is based on the solution of the quasi-static approximation of Maxwell equations (i.e., Laplace’s equation) which can be expressed as linear combinations of spherical harmonic functions. In applying SSS, MEG measurements can be split into two parts: brain signals and external interferences. In this paper, after a brief review of the basics of SSS, we evaluate SSS systematically via computer simulation and real MEG data. In the simulations of this paper, two types of interference sources with magnetic and electric current dipoles are used. The interference suppression effects and the quality of the reconstruction of the interested signal are investigated. Also, the degree of spherical harmonic functions and its relationship with signal reconstruction and interference suppression are studied thoroughly. Finally, we provide objective assessments of the advantages and limitations of the SSS approach, and its practical value in MEG measurements.

[1]  S. Taulu,et al.  Presentation of electromagnetic multichannel data: The signal space separation method , 2005 .

[2]  S. Taulu,et al.  Suppression of Interference and Artifacts by the Signal Space Separation Method , 2003, Brain Topography.

[3]  S. Taulu,et al.  Applications of the signal space separation method , 2005, IEEE Transactions on Signal Processing.

[4]  M. Karjalainen,et al.  Short-term memory functions of the human fetus recorded with magnetoencephalography , 2005, Neuroreport.

[5]  Carl Friedrich Gauss,et al.  Allgemeine Theorie des Erdmagnetismus , 1877 .

[6]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[7]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[8]  S. Taulu,et al.  Spatiotemporal signal space separation method for rejecting nearby interference in MEG measurements , 2006, Physics in medicine and biology.

[9]  J. Sarvas Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem. , 1987, Physics in medicine and biology.

[10]  Gene H. Golub,et al.  Matrix computations , 1983 .

[11]  R. Ilmoniemi,et al.  Signal-space projection method for separating MEG or EEG into components , 1997, Medical and Biological Engineering and Computing.

[12]  R. Ilmoniemi,et al.  Sampling theory for neuromagnetic detector arrays , 1993, IEEE Transactions on Biomedical Engineering.

[13]  Toshiaki Imada,et al.  Magnetoencephalography is feasible for infant assessment of auditory discrimination , 2004, Experimental Neurology.

[14]  T. Sejnowski,et al.  Dynamic Brain Sources of Visual Evoked Responses , 2002, Science.

[15]  C D Tesche,et al.  Signal-space projections of MEG data characterize both distributed and well-localized neuronal sources. , 1995, Electroencephalography and clinical neurophysiology.

[16]  Antti Korvenoja,et al.  Magnetoencephalography in neurosurgery. , 2006, Neurosurgery.

[17]  P. Kuhl,et al.  Infant speech perception activates Broca's area: a developmental magnetoencephalography study , 2006, Neuroreport.

[18]  C. Harrison Variation of spherical harmonic power as a function of harmonic order for Earth's core and crustal magnetic field and for Mars' crustal field , 2006 .

[19]  E. L. Hill The Theory of Vector Spherical Harmonics , 1954 .

[20]  S Makeig,et al.  Blind separation of auditory event-related brain responses into independent components. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Risto J. Ilmoniemi,et al.  The signal-space projection (SSP) method , 1994 .

[22]  R. Ilmoniemi,et al.  Magnetoencephalography-theory, instrumentation, and applications to noninvasive studies of the working human brain , 1993 .

[23]  Seppo P. Ahlfors,et al.  New Six-Layer Magnetically-Shielded Room for MEG , 2002 .

[24]  Robert Goodman,et al.  Vagus nerve stimulation (VNS) for treatment-resistant depressions: a multicenter study∗ ∗ See accompanying Editorial, in this issue. , 2000, Biological Psychiatry.

[25]  Yoshio Okada,et al.  Somatosensory evoked potentials and magnetic fields elicited by tactile stimulation of the hand during active and quiet sleep in newborns , 2004, Clinical Neurophysiology.