PMCW Signal Recovery via One-Bit FISTA with Time Varying Thresholds

Achieving high detection resolution can be difficult in radar systems that are power-limited. One solution is to use lower resolution analog-to-digital converters (ADCs), but recovering target parameters with less information is difficult. Sparse signal recovery techniques can work for few-bit ADCs, but one-bit ADCs lose significant amplitude information. Time-varying thresholds (TVT) have been shown to preserve more amplitude information with one-bit resolution, but there is little by way of direct comparison of these approaches in the literature. This paper shows that a TVT approach to the fast iterative shrinkage-thresholding algorithm (FISTA) results in better normalized mean squared error (NMSE) in amplitude estimation of one-bit quantized signals compared to a more general group sparse FISTA, which requires 2-bit quantization to achieve similar estimation characteristics.