A Theoretical Analysis of the Spatial Multi Channel Compressed Sensing Model

Authors: T. Schnier, C. Bockelmann, A. Dekorsy
Abstract:

The Compressed Sensing (CS) framework is heavily utilized to reduce data rate in hardware restricted scenarios by exploiting the intrinsic sparsity of the transmitted data. Considering multiple sensors at the same time, one variation of the Multi Channel (MC) framework takes several measurements at one time instant and then uses CS in the spatial domain to compress the data. This paper provides a theoretical analysis of the proposed system by computing the coherence and the Restricted Isometry Constant (RIC) of the corresponding MC sensing matrix. Additionally, we provide simulation results to further show the applicability and advantages of this system.

Document type: Conference Paper
Publication: Sapporo, Japan, 3. - 6. July 2017
Conference: The 18th IEEE International Workshop on Signal Processing Advances in Wireless Communications
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