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A New Method for Implementing Linear Filters in the Spike Domain

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Reconstruction, Identification and Implementation Methods for Spiking Neural Circuits

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Abstract

This chapter proposes a new model for processing information using spike trains, by developing a direct relationship between the input and output of a linear filter, both encoded into spike time sequences by a TEM. The TEM considered in this study is the IF neuron model. The proposed representation forms the basis for a new algorithm to compute the time encoded output directly from the input spike time sequence. The approximation error introduced by the proposed implementation is characterized by deriving an error bound between the real and estimated spike times that is a function of the IF neuron parameters. The proposed direct encoding approach is much faster than the indirect approach, involving simulating the filter output and subsequent encoding. A numerical simulation study is used to illustrate the approach.

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References

  • Bashirullah R, Harris JG, Sanchez JC, Nishida T, Principe JC (2007) Florida wireless implantable recording electrodes (fwire) for brain machine interfaces. In: 2007 IEEE international symposium on circuits and systems, ISCAS 2007. IEEE, pp 2084–2087

    Google Scholar 

  • Káldy C, Lazar A, Simonyi E, Toth L (2007) Time encoded communications for human area network biomonitoring. Department of Electrical Engineering, Columbia University, New York, BNET Technical Report, pp 2–07

    Google Scholar 

  • Lazar AA, Toth TL, Simonyi K (2008) An overcomplete stitching algorithm for time decoding machines. IEEE Trans Circuit Syst 55(9)

    Google Scholar 

  • Lazar AA (2006) A simple model of spike processing. Neurocomputing 69(10–12):1081–1085

    Article  Google Scholar 

  • Lazar AA, Pnevmatikakis EA (2008) Faithful representation of stimuli with a population of integrate-and-fire neurons. Neural Comput 20(11):2715–2744

    Article  MathSciNet  MATH  Google Scholar 

  • Lazar AA, Pnevmatikakis EA (2009) Consistent recovery of sensory stimuli encoded with mimo neural circuits. Comput Intell Neurosci 2010:13

    Google Scholar 

  • Roza E (1997) Analog-to-digital conversion via duty-cycle modulation. IEEE Trans Circ Syst II Analog Digital Sig Process 44(11):907–914

    Article  Google Scholar 

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Correspondence to Dorian Florescu .

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Florescu, D. (2017). A New Method for Implementing Linear Filters in the Spike Domain. In: Reconstruction, Identification and Implementation Methods for Spiking Neural Circuits. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-57081-5_6

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  • DOI: https://doi.org/10.1007/978-3-319-57081-5_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57080-8

  • Online ISBN: 978-3-319-57081-5

  • eBook Packages: EngineeringEngineering (R0)

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