Adaptive Non-Uniform Sampling of Bandlimited Signals via Algorithm–Encoder Co-Design

We propose an adaptive non-uniform sampling framework for bandlimited signals based on an algorithm–encoder co-design perspective. By revisiting the convergence analysis of iterative reconstruction algorithms for non-uniform measurements, we derive a local, energy-based sufficient condition that governs reconstruction behavior as a function of the signal and derivative energies within each sampling interval. Unlike classical approaches that impose a global Nyquist-type bound on the inter-sample spacing, the proposed condition permits large gaps in slowly varying regions while enforcing denser sampling only where the signal exhibits rapid temporal variation.

Under Review