Estimation of Binary Time-Frequency Masks from Ambient Noise

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-05-16 DOI:10.1137/22m149805x

José Luis Romero, Michael Speckbacher

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 3, Page 3559-3587, June 2024.
Abstract. We investigate the retrieval of a binary time-frequency mask from a few observations of filtered white ambient noise. Confirming household wisdom in acoustic modeling, we show that this is possible by inspecting the average spectrogram of ambient noise. Specifically, we show that the lower quantile of the average of [math] masked spectrograms is enough to identify a rather general mask [math] with confidence at least [math], up to shape details concentrated near the boundary of [math]. As an application, the expected measure of the estimation error is dominated by the perimeter of the time-frequency mask. The estimator requires no knowledge of the noise variance, and only a very qualitative profile of the filtering window, but no exact knowledge of it.

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从环境噪声中估计二进制时频掩码

SIAM 数学分析期刊》，第 56 卷第 3 期，第 3559-3587 页，2024 年 6 月。摘要我们研究了从滤波白环境噪声的少量观测结果中检索二进制时频掩码的问题。我们证实了声学建模中的家喻户晓的智慧，表明通过检查环境噪声的平均频谱图可以实现这一点。具体来说，我们证明了[math]掩蔽频谱图平均值的下量化值足以识别出相当一般的掩蔽[math]，置信度至少为[math]，直至集中在[math]边界附近的形状细节。在应用中，估计误差的预期度量主要取决于时频掩码的周长。估计器不需要噪声方差的知识，只需要滤波窗口的定性轮廓，但不需要确切的知识。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.