2013 IEEE 14th Workshop on Signal Processing Advances in Wireless Communications (SPAWC) 2013
DOI: 10.1109/spawc.2013.6612067
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Utilising convolutions of random functions to realise function calculation via a physical channel

Abstract: We discuss the utilisation of an algebra of random functions for the calculation of mathematical operations on a physical communication channel for actual implementation with resource restricted nodes. In particular, we present a transmission scheme for the computation of functions on the wireless channel and discuss various properties from combinations of random functions as well as requirements and restrictions of resource restricted hardware.

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Cited by 2 publications
(2 citation statements)
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“…We propose probabilistic collaboration to achieve physical-layer aggregation for non-synchronized distributed devices [106]. In particular, we utilize Poissondistributed burst sequences to compute the sum of the weighted feature inputs n i=1 w i x i during simultaneous transmission.…”
Section: Low Overhead Device Collaborationmentioning
confidence: 99%
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“…We propose probabilistic collaboration to achieve physical-layer aggregation for non-synchronized distributed devices [106]. In particular, we utilize Poissondistributed burst sequences to compute the sum of the weighted feature inputs n i=1 w i x i during simultaneous transmission.…”
Section: Low Overhead Device Collaborationmentioning
confidence: 99%
“…The coordinator decodes a received burst sequence by counting the number of bursts in a pre-defined interval of length t and thereby estimating the mean M = n i=1 w i x i of the distribution encoded in the superimposed signal sequence [106]. From this non-reversibly aggregated weighted sum of the individual features, the coordinator then computes the model inference as h(x) = 1 1+e w T x + c. While burst collisions can not be avoided in the scheme, their probability, and hence the accuracy in the estimation of the distribution at the receiver can be controlled repeating the estimation multiple times (for T >> t) and by proper choice of k, t and T [106].…”
Section: Model Inference Via Probabilistic Collaborationmentioning
confidence: 99%