Table 1 Comparison of MoRAM with existing modulo recovery methods
| Â | Unlimited sampling [6] | OLS method [16] | multi-shot UHDR [7] | GAMP [18] | MoRAM (our approach) |
|---|---|---|---|---|---|
Assumption on structure of signal | Band-limited | Band-limited | No assumptions | Sparsity, Bernoulli-Gaussian mixture distribution | Sparsity |
Sampling scheme | Uniform grid | Uniform grid | (Carefully chosen) linear measurements | Random linear measurements | Random linear measurements |
Sample complexity | Oversampled, \(\mathcal {O}(n)\) | – | Oversampled, \(\mathcal {O}(n)\) | Undersampled | Undersampled, \(\mathcal {O}(s\log (n))\) |
Provides sample complexity bounds? | Yes | – | No | No | Yes |
Leverages sparsity? | No | No | No | Yes | Yes |
(Theoretical) bound on dynamic range | Unbounded | Unbounded | Unbounded | Unbounded | 2R |