In this letter, a new algorithm is proposed for fast 1-bit compressed sensing (CS) recovery from multiple measurement vectors (MMV). The proposed algorithm is based on the adaptive outlier pursuit-flip (AOP-f), which adaptively locates and corrects potential sign flips from the measurement vectors. To improve the performance, we introduce an erasure method to the proposed algorithm by setting ambiguous sign flips as erasures. Additionally, we present a new stopping criterion, which significantly reduces the time complexity of the proposed algorithm. Numerical results show that the proposed algorithm performs better than existing ones in terms of reconstruction performance and time complexity.

在这封信中，提出了一种新算法，用于从多个测量向量 (MMV) 中快速恢复 1 位压缩感知 (CS)。所提出的算法基于自适应异常值追踪翻转（AOP-f），该算法从测量向量中自适应地定位和校正潜在的符号翻转。为了提高性能，我们通过将模糊符号翻转设置为擦除来向所提出的算法引入擦除方法。此外，我们提出了一个新的停止标准，它显着降低了所提出算法的时间复杂度。数值结果表明，该算法在重构性能和时间复杂度方面均优于现有算法。