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In this paper, we consider estimating multiple Gaussian graphs with a similar sparsity structure.
In particular, a wide class of solutions which have specific "group sparsity" structure are considered.
In line 9, the extrinsic group update function U G enforces the joint sparsity structure.
It utilizes the knowledge of A, the signal prior, and the joint sparsity structure.
MmWave MIMO channel exhibits the block sparsity structure because of the limited number of scattering clusters with low angular spreads.
We next generalize MBSBL to obtain EMBSBL that does not need the information on the signal sparsity structure.
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In this way, the five signals within the same cluster are highly correlated, but the signals from different clusters have distinct sparsity structures.
By minimizing the sum of this performance measure and a sparsity-promoting penalty function, the alternating direction method of multipliers identifies sparsity structures that strike a balance between the performance measure and the number of edges in the graph.
One could also use the above as a 'probability' lookup table, and investigate sparsity structures, such as setting k23 and k24 equal to zero.
The results illustrate that if one incorporates the block-sparsity structure into the recovery procedure, the block version of convex l 1 minimization does also reduce the number of measurement as the standard non-convex l q minimization with some q < 1. Figure 2 Recovery results with M = 225.
In the previous section, we presented the details of the OC method that combines a priori statistical information, sparsity, and structure of the sensing matrix to develop a fast and low-complexity sparse RIR reconstruction algorithm.
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