{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:52:20Z","timestamp":1760241140990,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T00:00:00Z","timestamp":1574985600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, the power spectrum resolution problem of dual-frequency coherent mixing signals is analyzed when the Doppler frequency difference is small. The power spectrum function formula of the four optical coherent mixing signals is obtained using statistical theory and the Wiener\u2013Khinchin theorem. The influence of delay time and light source line width on the power spectrum of dual-frequency coherent signals is analyzed using this formula. The results show that delay time only affects the peak of the power spectrum of the coherent signal. An increase in the line width of the light source broadens the signal power spectrum and reduces the peak value. The necessary condition for distinguishing the Doppler frequency difference is that the theoretical Doppler frequency difference is greater than 1\/5 times the line width of the light source.<\/jats:p>","DOI":"10.3390\/s19235264","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T10:58:21Z","timestamp":1575025101000},"page":"5264","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Effect of Light Source Line Width on the Spectrum Resolution of Dual-Frequency Coherent Detection Signals"],"prefix":"10.3390","volume":"19","author":[{"given":"Jianying","family":"Ren","sequence":"first","affiliation":[{"name":"Graduate School, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huayan","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Electronic and Optical Engineering, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laixian","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Electronic and Optical Engineering, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanzhong","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Electronic and Optical Engineering, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1208008","DOI":"10.3788\/CJL201340.1208008","article-title":"Doppler frequency spectral discrimination of moving target based on coherent detection","volume":"40","author":"Peng","year":"2013","journal-title":"Chin. 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Prog., 61403."},{"key":"ref_6","first-page":"694","article-title":"A new dual-frequency laser doppler velocity measurement method","volume":"40","author":"Zhang","year":"2010","journal-title":"Laser Optoelectron. Prog."},{"key":"ref_7","first-page":"706","article-title":"Status and trend analysis of radar detection technology of hypersonic targets in near space","volume":"3","author":"Zhang","year":"2016","journal-title":"Electron. Sci. Technol."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"4828","DOI":"10.1109\/JLT.2016.2589538","article-title":"Coherent Interferometric Dual-Frequency Laser Radar for Precise Range\/Doppler Measurement","volume":"20","author":"Onori","year":"2016","journal-title":"J. Lightwave Technol."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Onori, D., Scotti, F., Laghezza, F., Scaffardi, M., and Bogoni, A. (2016, January 2\u20136). Coherent Laser Radar with Dual-Frequency Doppler Estimation and Interferometric Range Detection. 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Sin."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"84206","DOI":"10.7498\/aps.65.084206","article-title":"Effect of laser linewidth on the performance of heterodyne detection","volume":"65","author":"Li","year":"2016","journal-title":"Acta Phys. Sin."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1109\/JQE.1984.1072399","article-title":"Quantum phase noise and field correlation in single frequency semiconductor laser systems","volume":"20","author":"Gallion","year":"1984","journal-title":"IEEE J. Quantum Electron."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"174208","DOI":"10.7498\/aps.62.174208","article-title":"The instantaneous linewidth measurement of DFB laser with ultrashort delay","volume":"62","author":"An","year":"2013","journal-title":"Acta Phys. Sin."},{"key":"ref_16","first-page":"527","article-title":"Single Mode Laser Spectral Spread Repercussion in Single-Mode Optical Fiber Coherent Detection Systems","volume":"369","author":"Gallion","year":"1983","journal-title":"SPIE"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1510","DOI":"10.1109\/JLT.2004.829220","article-title":"Theoretical and Experimental Analysis of Influence of Phase-to-Intensity Noise Conversion in Interferometric Systems","volume":"22","author":"Salehi","year":"2004","journal-title":"J. Lightwave Technol."},{"key":"ref_18","first-page":"234208","article-title":"Short-range optical limited displacement resolution in laser heterodyne detection system","volume":"23","author":"Yan","year":"2017","journal-title":"Acta Phys. 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