Co-Design of Dissipative Deconvolution Filter and Round-Robin Protocol for Networked 2-D Digital Systems: Optimization and Application

This article is concerned with the dissipative deconvolution filtering issue for networked two-dimensional (2-D) digital systems. By orchestrating the sensor outputs with a prescribed dynamic transmission order, a new multinode Round-Robin protocol (RRP) under the 2-D setting is developed on the sensor-to-filter channel to ease the communication overheads, and a novel compensation strategy is proposed for enhancing the deconvolution filter performance. A sufficient condition is established for ensuring the dissipativity of the deconvolution filter in terms of coupled matrix inequalities. Furthermore, a particle swarm optimization (PSO) algorithm is formulated to design the filter gain with certain optimized performance. Finally, by transforming the color image into three gray images, the proposed algorithms are applied to the remote color image restoration problem under RRP. It is shown that the use of RRP saves 33.3% communication burden, and the saving of communication resources reduces the signal-to-noise ratio (SNR) by 18.5%. In comparison to the RRP using zero-input compensation strategy in available literature, the introduction of the novel multinode RRP with compensation strategy can indeed improve the reconstruction SNR.