Publication

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We introduce a novel class of Time Encoding Machines (TEMs) that exhibit multiplicative coupling, and, feedforward and feedback. We show that a machine with multiplicative coupling is I/O equivalent with an Integrate-and-Fire neuron with a variable threshold sequence. The same result holds for a TEM with feedforward while a machine with feedback is I/O equivalent with an Asynchronous Sigma/Delta Modulator with variable thresholds. For all TEMs, an input bandlimited signal can be perfectly recovered from the zero crossings of the modulated signal and the threshold sequence. We present the optimal decoding algorithm and give conditions for perfect signal recovery

Reference

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@article{2006a,
  author = "A. A. Lazar",
  title = "Time Encoding Machines with Multiplicative Coupling, Feedforward and Feedback",
  year = 2006,
  journal = "IEEE Transactions on Circuits and Systems-II: Express Briefs",
  volume = 53,
  number = 8,
  pages = "672-676",
  month = "Aug",
  keywords = "time encoding, time change, perfect signal recovery, feedforward, feedback."
}