Selecting Optimal Sampling Rate for Stable Super-Resolution

Nuha Diab

Session: General

Keywords: sparse superresolution, decimation, vandermonde matrix, direction of arrival, sub Nyquist sampling, finite rate of innovation, exponential fitting, Matrix Pencil, Prony’s method

TL;DR: We propose an efficient preprocessing method to identify the optimal sampling rate for sparse signals in the sub Nyquist regime.

Abstract: We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike train signals, also known as the super-resolution (SR) problem. When the node separation falls below the Rayleigh limit, the problem becomes ill-conditioned. Admissible sampling rates, or decimation parameters, improve the conditioning of the SR problem, enabling more accurate recovery. We propose an efficient preprocessing method to identify the optimal sampling rate, significantly enhancing the performance of SR techniques.

Submission Number: 86