ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2021
DOI: 10.1109/icassp39728.2021.9415074
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Statistical Properties of a Modified Welch Method That Uses Sample Percentiles

Abstract: We present and analyze an alternative, more robust approach to the Welch's overlapped segment averaging (WOSA) spectral estimator. Our method computes sample percentiles instead of averaging over multiple periodograms to estimate power spectral densities (PSDs). Bias and variance of the proposed estimator are derived for varying sample sizes and arbitrary percentiles. We have found excellent agreement between our expressions and data sampled from a white Gaussian noise process.

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Cited by 3 publications
(2 citation statements)
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“…Felix Schwock: a novel graph diffusion framework for estimating neural communication towards personalized neurorehabilitation Most neurological diseases are associated with altered patterns of neural communication; however, their specific changes due to disease or subsequent rehabilitative treatments could be better understood. As a step towards that, we propose a new computational framework for estimating dynamic network level neural communication by modeling the evolution of neural activity as a parameterized graph diffusion process [137]. To demonstrate the utility of our framework for neurorehabilitative applications, we have applied it to electrocorticography recordings from the sensorimotor cortex of a macaque monkey that underwent focal ischemic lesioning and acute electrical stimulation in the ipsilesional hemisphere [138].…”
Section: Modeling Adaptation and Plasticitymentioning
confidence: 99%
“…Felix Schwock: a novel graph diffusion framework for estimating neural communication towards personalized neurorehabilitation Most neurological diseases are associated with altered patterns of neural communication; however, their specific changes due to disease or subsequent rehabilitative treatments could be better understood. As a step towards that, we propose a new computational framework for estimating dynamic network level neural communication by modeling the evolution of neural activity as a parameterized graph diffusion process [137]. To demonstrate the utility of our framework for neurorehabilitative applications, we have applied it to electrocorticography recordings from the sensorimotor cortex of a macaque monkey that underwent focal ischemic lesioning and acute electrical stimulation in the ipsilesional hemisphere [138].…”
Section: Modeling Adaptation and Plasticitymentioning
confidence: 99%
“…To address these shortcoming, we propose an alternative framework for estimating network level neural communication dynamics from LFP recordings, by combining a biologically plausible network diffusion process 35,36 with the autoregressive framework 37 . The resulting graph diffusion autoregressive (GDAR) model naturally gives rise to a communication signal with millisecond temporal resolution between nodes of a predefined graph, therefore incorporating the spatial information of the recording array and describing highly transient communication events.…”
Section: Introductionmentioning
confidence: 99%