Fig. 3

Sparse signal reconstruction example from α-stable corrupted measurements (s=10, m=100, n=400, and α=1). a True signal. b Clean measurements. c Noisy measurements. d Reconstructed signal using ℓ ₁-LS (SER = −6.5 dB). e Reconstructed signal using ℓ ₁-CD (SER = 28.2 dB). f Reconstructed signal using L-CD (SER = 25.1 dB). g Reconstructed signal using LBP (SER = 24.0 dB). h Reconstructed signal using LIHT (SER = 24.0 dB). i Reconstructed signal using R-Lasso (SER = 8.9 dB). j Reconstructed signal using ℓ ₁-LAD (SER = 16.9 dB). k Reconstructed signal using Huber-IHT (SER = 25.1 dB). l Reconstructed signal using ℓ ₁-OMP (SER = 24.1 dB)