This paper addresses the harmonic problem in one-bit linear frequency modulation (LFM) signal recovery. We develop a novel quantization strategy with random thresholds to mitigate the annoying harmonic effect caused by one-bit sampling. The proposed quantization strategy changes the probability distribution of harmonic amplitude. In this case, the average amplitude of each order harmonic is dominated by the probability density function of random thresholds. Therefore, we employ the flexible Beta distribution to approximate various distribution types and then explore the potential optimal distribution of random thresholds. Furthermore, the quantization strategy with the possible optimal random thresholds is introduced into the classical one-bit recovery algorithm to improve the performance. Numerical simulation results demonstrate the effectiveness of our proposed strategy.

本文解决了一位线性调频（LFM）信号恢复中的谐波问题。我们开发了一种具有随机阈值的新型量化策略，以缓解由一位采样引起的烦人的谐波效应。所提出的量化策略改变了谐波幅度的概率分布。在这种情况下，每个阶次谐波的平均幅度由随机阈值的概率密度函数决定。因此，我们采用灵活的Beta分布来近似各种分布类型，然后探索随机阈值的潜在最佳分布。此外，将具有可能的最佳随机阈值的量化策略引入到经典的一位恢复算法中，以提高性能。