Hyperbolic frequency modulated signal analysis using Mellin transform

IF 3.4 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Signal Processing Pub Date : 2025-03-18 DOI:10.1016/j.sigpro.2025.110007

Liang Zhang , Qinglei Du , Ruihui Peng , Xiangyu Zhang , Hui Chen

{"title":"Hyperbolic frequency modulated signal analysis using Mellin transform","authors":"Liang Zhang , Qinglei Du , Ruihui Peng , Xiangyu Zhang , Hui Chen","doi":"10.1016/j.sigpro.2025.110007","DOIUrl":null,"url":null,"abstract":"<div><div>Hyperbolic frequency modulated (HFM) signal, an optimal Doppler tolerant waveform, has widespread application in radar and sonar. Interestingly, the theoretical waveform is very close to those actually used by bats. For the problems of detection and estimation of the HFM signal, an analysis method in the scale domain is proposed, firstly searching the peaks in a delay-scale matrix obtained by calculating Mellin transform (MT) of the signal with different artificial delays, and then estimating signal parameters, according to peak position. To find the peaks, a constant false alarm rate (CFAR) detector commonly used in radar signal processing is employed. Since MT is a linear transform, the multi-component HFM signal can be analyzed by the proposed method. In addition, the computational complexity is not very high, as MT can be numerically implemented by the fast Fourier transform. Using the simulated HFM signals and the bat echolocation call, the detection and estimation performance of the proposed method is fully verified.</div></div>","PeriodicalId":49523,"journal":{"name":"Signal Processing","volume":"234 ","pages":"Article 110007"},"PeriodicalIF":3.4000,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Signal Processing","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165168425001215","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

Hyperbolic frequency modulated (HFM) signal, an optimal Doppler tolerant waveform, has widespread application in radar and sonar. Interestingly, the theoretical waveform is very close to those actually used by bats. For the problems of detection and estimation of the HFM signal, an analysis method in the scale domain is proposed, firstly searching the peaks in a delay-scale matrix obtained by calculating Mellin transform (MT) of the signal with different artificial delays, and then estimating signal parameters, according to peak position. To find the peaks, a constant false alarm rate (CFAR) detector commonly used in radar signal processing is employed. Since MT is a linear transform, the multi-component HFM signal can be analyzed by the proposed method. In addition, the computational complexity is not very high, as MT can be numerically implemented by the fast Fourier transform. Using the simulated HFM signals and the bat echolocation call, the detection and estimation performance of the proposed method is fully verified.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Signal Processing 工程技术-工程：电子与电气

CiteScore

9.20

自引率

9.10%

发文量

309

审稿时长

41 days

期刊介绍： Signal Processing incorporates all aspects of the theory and practice of signal processing. It features original research work, tutorial and review articles, and accounts of practical developments. It is intended for a rapid dissemination of knowledge and experience to engineers and scientists working in the research, development or practical application of signal processing. Subject areas covered by the journal include: Signal Theory; Stochastic Processes; Detection and Estimation; Spectral Analysis; Filtering; Signal Processing Systems; Software Developments; Image Processing; Pattern Recognition; Optical Signal Processing; Digital Signal Processing; Multi-dimensional Signal Processing; Communication Signal Processing; Biomedical Signal Processing; Geophysical and Astrophysical Signal Processing; Earth Resources Signal Processing; Acoustic and Vibration Signal Processing; Data Processing; Remote Sensing; Signal Processing Technology; Radar Signal Processing; Sonar Signal Processing; Industrial Applications; New Applications.