VecComp: Vector Computing via MIMO Digital Over-the-Air Computation
Saeed Razavikia, Jos\'e Mairton Barros Da Silva Junior, Carlo Fischione

TL;DR
VecComp extends digital over-the-air computation to vector functions using multi-antenna technology, enabling scalable, robust, and efficient high-dimensional data processing in fading channels.
Contribution
It introduces VecComp, a novel framework that generalizes ChannelComp for vector functions with linear complexity and enhanced robustness.
Findings
VecComp effectively computes vector functions over noisy, fading channels.
It maintains linear computational complexity with vector dimension.
Numerical results demonstrate improved accuracy and robustness in high-dimensional scenarios.
Abstract
Recently, the ChannelComp framework has proposed digital over-the-air computation by designing digital modulations that enable the computation of arbitrary functions. Unlike traditional analog over-the-air computation, which is restricted to nomographic functions, ChannelComp enables a broader range of computational tasks while maintaining compatibility with digital communication systems. This framework is intended for applications that favor local information processing over the mere acquisition of data. However, ChannelComp is currently designed for scalar function computation, while numerous data-centric applications necessitate vector-based computations, and it is susceptible to channel fading. In this work, we introduce a generalization of the ChannelComp framework, called VecComp, by integrating ChannelComp with multiple-antenna technology. This generalization not only enables…
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Taxonomy
TopicsNumerical Methods and Algorithms · Stochastic Gradient Optimization Techniques · Sparse and Compressive Sensing Techniques
