Fast 5G Signal Acquisition by Using Non-Uniform Sampling

This paper proposes a framework for fast signal acquisition based on deterministic non-uniform sampling, with emphasis on multi-coset architectures and receivers driven by known synchronization sequences, pilots, or preambles. Unlike conventional sampling theory, which is formulated from a waveform-reconstruction perspective, the proposed approach is derived from the observation that acquisition is fundamentally a parametric inference problem in delay-Doppler space. Accordingly, the objective is not to reconstruct the full Nyquist-rate signal, but to preserve the statistics required for detection and estimation. The paper formulates compressed-domain acquisition through a generalized likelihood ratio test and shows how multi-coset sampling leads to reduced correlator structures operating directly on the retained samples. An offline exhaustive design procedure is introduced to select the coset pattern for a given sampling ratio by minimizing a cost that jointly enforces peak isolation in the acquisition surface and uniform retained-energy coverage over the delay search interval. The framework is evaluated on 5G NR synchronization using the PSS/SSS signals under a worst-case Doppler scenario. Results show that substantial reductions in mean acquisition time can be achieved relative to uniform sampling, with measured gains ranging from 2.8x to 34.2x, depending on the selected compression ratio. The corresponding delay and Doppler root-mean-square errors quantify the estimation penalty introduced by aggressive sample reduction. These results demonstrate a clear complexity-performance trade-off and confirm the potential of multi-coset sampling for fast synchronization-oriented receivers.