{"title":"Harmonic/Percussive Source Separation Based on Anisotropic Smoothness of Magnitude Spectrograms via Convex Optimization","authors":"Natsuki Akaishi;Koki Yamada;Kohei Yatabe","doi":"10.1109/LSP.2024.3459811","DOIUrl":null,"url":null,"abstract":"Harmonic/percussive source separation (HPSS) is an important tool for analyzing and processing audio signals. The standard approach to HPSS takes advantage of the structural difference of sinusoidal and percussive components, called \n<italic>anisotropic smoothness</i>\n, in magnitude spectrograms. However, the existing methods disregard phase of the spectrograms and/or approximate the problem, which naturally limits the upper bound of the performance of HPSS. In this letter, we propose a novel approach to HPSS that regards phase without the approximation. The proposed method introduces an auxiliary variable that acts as an adaptive weight of a weighted energy minimization problem, which enables us to apply smoothing on magnitude of complex-valued spectrograms. Compared to the existing methods, the proposed method can obtain separated components having better magnitude and phase by simultaneously handling them.","PeriodicalId":13154,"journal":{"name":"IEEE Signal Processing Letters","volume":null,"pages":null},"PeriodicalIF":3.2000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Signal Processing Letters","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10681150/","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Harmonic/percussive source separation (HPSS) is an important tool for analyzing and processing audio signals. The standard approach to HPSS takes advantage of the structural difference of sinusoidal and percussive components, called
anisotropic smoothness
, in magnitude spectrograms. However, the existing methods disregard phase of the spectrograms and/or approximate the problem, which naturally limits the upper bound of the performance of HPSS. In this letter, we propose a novel approach to HPSS that regards phase without the approximation. The proposed method introduces an auxiliary variable that acts as an adaptive weight of a weighted energy minimization problem, which enables us to apply smoothing on magnitude of complex-valued spectrograms. Compared to the existing methods, the proposed method can obtain separated components having better magnitude and phase by simultaneously handling them.
期刊介绍:
The IEEE Signal Processing Letters is a monthly, archival publication designed to provide rapid dissemination of original, cutting-edge ideas and timely, significant contributions in signal, image, speech, language and audio processing. Papers published in the Letters can be presented within one year of their appearance in signal processing conferences such as ICASSP, GlobalSIP and ICIP, and also in several workshop organized by the Signal Processing Society.