Abstract

In this paper, we address the problem of green Compressed Sensing (CS) reconstruction within Internet of Things (IoT) networks, both in terms of computing architecture and reconstruction algorithms. The approach is novel since, unlike most of the literature dealing with energy efficient gathering of the CS measurements, we focus on the energy efficiency of the signal reconstruction stage given the CS measurements. As a first novel contribution, we present an analysis of the energy consumption within the IoT network under two computing architectures. In the first one, reconstruction takes place within the IoT network and the reconstructed data are encoded and transmitted out of the IoT network; in the second one, all the CS measurements are forwarded to off-network devices for reconstruction and storage, i.e., reconstruction is off-loaded. Our analysis shows that the two architectures significantly differ in terms of consumed energy, and it outlines a theoretically motivated criterion to select a green CS reconstruction computing architecture. Specifically, we present a suitable decision function to determine which architecture outperforms the other in terms of energy efficiency. The presented decision function depends on a few IoT network features, such as the network size, the sink connectivity, and other systems’ parameters. As a second novel contribution, we show how to overcome classical performance comparison of different CS reconstruction algorithms usually carried out w.r.t. the achieved accuracy. Specifically, we consider the consumed energy and analyze the energy vs. accuracy trade-off. The herein presented approach, jointly considering signal processing and IoT network issues, is a relevant contribution for designing green compressive sampling architectures in IoT networks.

Highlights

  • Compressive sampling (CS) is a wide area of studies concerning the representation of a sparseN-dimensional signal from a limited set of M < N random projections

  • We have presented a novel analysis aimed at identifying green Compressed Sensing (CS) reconstruction computing architectures and energy efficient CS reconstruction algorithms to be used in Internet of Things (IoT) networks for environmental monitoring

  • The analysis computes the energy consumption within the IoT network under two computing architectures, where either CS measurements are forwarded to off-network devices for reconstruction and storage or CS reconstruction takes place within the IoT network and the reconstructed data are encoded and transmitted out of the IoT network

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Summary

Introduction

Compressive sampling (CS) is a wide area of studies concerning the representation of a sparse. When implemented in an IoT network, the structure of the sensing matrix and the gathering of the CS measurements at the sink directly affect the energy components ES1 , ES2. When CS is considered in a IoT network, CS reconstruction can be either (i) offloaded for computation outside the network or (ii) performed within the network itself These two methods are expected to differ in terms of energy consumption; some relevant questions arise: Which are the system parameters that affect the IoT networks’ energy consumption in these two cases?. We analyze the network energy consumption for the CS reconstruction stage in two computing architectures: in the first one, referred to as off-network reconstruction, all the CS measurements are forwarded to off-network devices for reconstruction and storage; in the second one, named in-network reconstruction, the reconstruction takes place within the IoT network itself, the reconstructed data are encoded and eventually forwarded out of the.

CS in IoT Networks
Relevant Parameters for Energy Efficiency Analysis of CS Reconstruction
Comparison of In-Network and Off-Network Reconstruction Schemes
Selection of Energy Efficient Computing Architecture for CS Reconstruction
Adoption of Energy Efficient CS Reconstruction Algorithms for IoT Networks
Findings
Conclusions

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