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Correlation Analysis of Parallel Spike Trains

Encyclopedia of Computational Neuroscience

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Synonyms

Conditional rate function; Cross-correlogram; Linear system kernel

Definition

Cross-correlation is a measure of the similarity of two signals as a function of the time lag or lead applied to one of the signals. In case the two signals are simultaneously recorded spike trains, the cross-correlation becomes a count of the number of coincidences of firing for the two spike trains as a function of the time delay between them. If one considers one spike train as the input to a system and the other spike train as the output, then the cross-correlation function between the input and output spike trains normalized on the input autocorrelation function is equal to the impulse response of the linear part of the system. Cross-correlation can also, and in the nervous system more generally, result from common input to the two spike trains, i.e., from providing a sensory stimulus or from rhythmic or other spontaneous activity in the brain.

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Author information

Authors and Affiliations

  1. University of Calgary, Departments of Physiology and Pharmacology, and Psychology, Calgary, Canada

    Prof. Jos J. Eggermont

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  1. Prof. Jos J. Eggermont
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Correspondence to Jos J. Eggermont .

Editor information

Editors and Affiliations

  1. Atlanta, Georgia, USA

    Dieter Jaeger

  2. Department of Biomedical Engineering, Florida International University, Miami, Florida, USA

    Ranu Jung

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Eggermont, J.J. (2014). Correlation Analysis of Parallel Spike Trains. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_390-1

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  • DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-1

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  • Online ISBN: 978-1-4614-7320-6

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Chapter history

  1. Latest

    Correlation Analysis of Parallel Spike Trains
    Published:
    14 September 2019

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-2

  2. Original

    Correlation Analysis of Parallel Spike Trains
    Published:
    10 April 2014

    DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-1

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