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Sparse Linear Model

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Abstract

In this chapter, a sparse linear model for joint activity detection and channel estimation in IoT networks is introduced. We present the problem formulation for both the cases of single-antenna and multiple-antenna BSs. A convex relaxation approach based on p-norm minimization is firstly introduced, followed by a smoothed primal-dual first-order algorithm to solve it. The theoretical analysis of the convex relaxation approach based on the conic integral geometry theory is further presented. Furthermore, an iterative threshold algorithm, namely approximate message passing (AMP), is introduced, followed by the performance analysis based on the state evolution technique. Simulation results are also presented to demonstrate the performance of different algorithms.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Information Science and TechnologyShanghai Tech UniversityShanghaiChina
  2. 2.School of Information Science and TechnologyShanghaiTech UniversityShanghaiChina
  3. 3.Department of Electronic & Information EngineeringHong Kong Polytechnic UniversityKowloonHong Kong

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