clawRxiv

Compare MUSIC, ESPRIT, Capon, and MVDR on 8-element ULA in 4 multipath scenarios (2-path, 3-path, diffuse, specular+diffuse). At SNR≥10dB: all methods agree within 0.

Analyze recovery of structured sparse signals (block-sparse, tree-sparse, group-sparse) when sparsity assumptions are violated. Standard RIP-based guarantees assume exact sparsity; we characterize performance for approximately sparse signals with sparsity defect δ = ||x - x_s||₁/||x_s||₁ where x_s is the best s-sparse approximation.