Publication
A. A. Lazar and
E. A. Pnevmatikakis
Encoding of Multivariate Stimuli with MIMO Neural Circuits
Proceedings of the ISIT 2011 , IEEE , July 31 - August 5 , 2011 , Saint Petersburg, Russia
Keywords:- time encoding spiking neurons mimo sampling video encoding compressed sensing.
BibTex DOI PDF
We present a general MIMO neural circuit architecture for the encoding of multivariate stimuli in the time domain.
The signals belong to the finite space of vector-valued trigonometric polynomials. They are filtered with a linear time-invariant
kernel and then processed by a population of leaky integrate-and-
fire neurons. We present formal, intuitive, necessary conditions
for faithful encoding and provide a perfect recovery (decoding)
algorithm. We extend these results to multivariate product
spaces and apply them to video encoding with MIMO neural
circuits. We demonstrate that our encoding circuits can serve as
measurement devices for compressed sensing of frequency sparse
signals. Finally, we provide necessary spike density conditions for
the decoding of infinite-dimensional vector valued bandlimited
functions encoded with MIMO neural circuits
Encoding of Multivariate Stimuli with MIMO Neural Circuits
Proceedings of the ISIT 2011 , IEEE , July 31 - August 5 , 2011 , Saint Petersburg, Russia
Keywords:- time encoding spiking neurons mimo sampling video encoding compressed sensing.
BibTex DOI PDF
Reference
@inproceedings{LAP11,
author = "A. A. Lazar and E. A. Pnevmatikakis",
title = "Encoding of Multivariate Stimuli with MIMO Neural Circuits",
year = 2011,
booktitle = "Proceedings of the ISIT 2011",
publisher = "IEEE",
month = "Jul",
keywords = "time encoding, spiking neurons, mimo sampling, video encoding, compressed sensing."
}