Frequency Domain Compressive Sampling for Ultrasound Imaging

Figure 4

(a) Fourier transform (real part) of an RF signal (256 points) and (b) the initial guess (circles) of the ℓ₁ norm minimization for 128 random measurements. (c) Evolution of the reconstructed sparse signal using a primal-dual algorithm for linear programming at iterations 3, (d) 5 and (e) 11. After 11 iterations the reconstructed signal corresponds exactly to the original.

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