Fast calculation algorithm for discrete resonance-based band-pass filter

Pankovski, Toso

doi:10.1016/j.aej.2016.06.017

Cited by 3 publications

(1 citation statement)

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“…The bandpass filter is highly amenable to optimization: the individual columns of the matrix can be parallelized for linear speedup, and the fft itself can be offloaded onto a GPU if the data will fit into the GPU's memory. It may also be possible to reduce the complexity of the bandpass to O(N × T ) using the approach of (Pankovski 2016) in the future. Second, in the current version, limited data formats are supported.…”

Section: Limitations and Future Workmentioning

confidence: 99%

Dream

et al. 2021

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Rhythms of the brain are generated by neural oscillations across multiple frequencies. These oscillations can be decomposed into distinct frequency intervals associated with specific physiological processes. In practice, the number and ranges of decodable frequency intervals are determined by sampling parameters, often ignored by researchers. To improve the situation, we report on an open toolbox with a graphical user interface for decoding rhythms of the brain system (DREAM). We provide worked examples of DREAM to investigate frequency-specific performance of both neural (spontaneous brain activity) and neurobehavioral (in-scanner head motion) oscillations. DREAM decoded the head motion oscillations and uncovered that younger children moved their heads more than older children across all five frequency intervals whereas boys moved more than girls in the age of 7 to 9 years. It is interesting that the higher frequency bands contain more head movements, and showed stronger age-motion associations but weaker sex-motion interactions. Using data from the Human Connectome Project, DREAM mapped the amplitude of these neural oscillations into multiple frequency bands and evaluated their test-retest reliability. The resting-state brain ranks its spontaneous oscillation’s amplitudes spatially from high in ventral-temporal areas to low in ventral-occipital areas when the frequency band increased from low to high, while those in part of parietal and ventral frontal regions are reversed. The higher frequency bands exhibited more reliable amplitude measurements, implying more inter-individual variability of the amplitudes for the higher frequency bands. In summary, DREAM adds a reliable and valid tool to mapping human brain function from a multiple-frequency window into brain waves.

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Section: Limitations and Future Workmentioning

confidence: 99%

Dream

et al. 2021

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Emergence of the consonance pattern within synaptic weights of a neural network featuring Hebbian neuroplasticity

Pankovski¹,

Pankovska²

2017

Biologically Inspired Cognitive Architectures

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Model order reduction in parallel of discrete-time linear systems based on Meixner and Krawtchouk polynomials

Xu,

Li,

Jiang

et al. 2024

IMA Journal of Mathematical Control and Information

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In this paper, based on the partition technique, we use Meixner and Krawtchouk polynomials to present an input-independent model order reduction method. Our main contributions are twofold. First, the explicit difference relations of Meixner polynomials and Krawtchouk polynomials are expressed in an unified form. The parallel computation is carried out on the partitioned subsystems using the Krylov subspaces by which one can generate reduced systems independent of the expansion coefficients of input and can save the computation time. Second, a parallel adaptive enrichment strategy is used to choose the reduced order of reduced systems. Theoretical analysis shows that the proposed method characterizes the property of invariable coefficients. Finally, two numerical examples demonstrate that the proposed method achieves good reduction results in terms of accuracy and reduced CPU time.

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Fast calculation algorithm for discrete resonance-based band-pass filter

Cited by 3 publications

References 1 publication

Dream

Dream

Emergence of the consonance pattern within synaptic weights of a neural network featuring Hebbian neuroplasticity

Model order reduction in parallel of discrete-time linear systems based on Meixner and Krawtchouk polynomials

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