基于可证明精度和抗噪声数值反演的$L^2([-π,π])$相位恢复
Phase Retrieval for $L^2([-π,π])$ via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements
摘要：
在本文中，我们专注于从有限集短时傅里叶变换（STFT）幅度集（即，光谱图）测量。两种算法的近似反演这样的测量，每个理论误差保证建立其正确性。详细的数值研究也表明，这两种算法在实践中工作良好，并具有良好的数值收敛行为。
英文摘要：
In this paper, we focus on the approximation of smooth functions $f: [-π, π] \rightarrow \mathbb{C}$, up to an unresolvable global phase ambiguity, from a finite set of Short Time Fourier Transform (STFT) magnitude (i.e., spectrogram) measurements. Two algorithms are developed for approximately inverting such measurements, each with theoretical error guarantees establishing their correctness. A detailed numerical study also demonstrates that both algorithms work well in practice and have good numerical convergence behavior.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
