Joint CS Measurement Through Coherent MAC: Exploiting Joint Sparsity of Multiple Phenomena.

With the rapid development of wireless communication techniques, Internet of Things (IoT) has enabled a host of innovative services by deploying numerous distributed nodes to observe diverse phenomena. There are massive observations of phenomena at distributed nodes that need to be sent. Due to the low spectrum efficiency, it is a great challenge for orthogonal multi-access (OMA) schemes to transmit such enormous observations in time. To cope with this challenge, in this paper, we propose a joint compressed sensing (CS) measurement scheme for wireless networks to achieve the efficient observation of multiple phenomena. Specifically, all nodes are divided into multiple groups to observe different phenomena, and their observations are sequentially transmitted to the fusion center (FC) through the coherent multiple access channel (MAC). To evaluate the performance, we derive the total achievable rate, which is heavily influenced by the design of coherent transmission and joint CS measurement. Moreover, we compare the joint CS measurement scheme with the traditional scheme based on OMA by deriving the performance gain. It demonstrates the superiority of the proposed scheme.v To maximize the total achievable rate, we study a non-convex optimization problem of the common-component allocation and the time allocation. To solve this intractable problem, we equivalently convert it into a convex optimization problem by studying the non-convex constraint and propose a low-complexity algorithm to provide the optimal solution. Finally, simulation results are provided to verify the correctness of the theoretical analysis and demonstrate the superior performance of the proposed scheme. [ABSTRACT FROM AUTHOR]