Matthew B. Heintzelman;Daniel B. Herr;Charles A. Mohr;Shannon D. Blunt;Cenk Sahin;Andrew Kordik
{"title":"随机调频雷达波形的可分性分析","authors":"Matthew B. Heintzelman;Daniel B. Herr;Charles A. Mohr;Shannon D. Blunt;Cenk Sahin;Andrew Kordik","doi":"10.1109/TRS.2025.3564236","DOIUrl":null,"url":null,"abstract":"This work seeks to elucidate the relationship between interfering frequency-modulated (FM) radar waveforms and their observed separability. A statistical and analytical framework is developed through which the average separability is determined as a function of the mutual time–bandwidth product between the interfering waveforms. The analytically derived predictor for waveform separability is then compared to a long-observed heuristic. Since random waveforms exhibit stochastic cross correlations, the maximum deviation above the analytically derived predictor is also examined. High-dimensional Monte Carlo simulations are used to numerically validate the analytical results.","PeriodicalId":100645,"journal":{"name":"IEEE Transactions on Radar Systems","volume":"3 ","pages":"768-788"},"PeriodicalIF":0.0000,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Separability Analysis of Random FM Radar Waveforms\",\"authors\":\"Matthew B. Heintzelman;Daniel B. Herr;Charles A. Mohr;Shannon D. Blunt;Cenk Sahin;Andrew Kordik\",\"doi\":\"10.1109/TRS.2025.3564236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work seeks to elucidate the relationship between interfering frequency-modulated (FM) radar waveforms and their observed separability. A statistical and analytical framework is developed through which the average separability is determined as a function of the mutual time–bandwidth product between the interfering waveforms. The analytically derived predictor for waveform separability is then compared to a long-observed heuristic. Since random waveforms exhibit stochastic cross correlations, the maximum deviation above the analytically derived predictor is also examined. High-dimensional Monte Carlo simulations are used to numerically validate the analytical results.\",\"PeriodicalId\":100645,\"journal\":{\"name\":\"IEEE Transactions on Radar Systems\",\"volume\":\"3 \",\"pages\":\"768-788\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Radar Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10976448/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Radar Systems","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10976448/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Separability Analysis of Random FM Radar Waveforms
This work seeks to elucidate the relationship between interfering frequency-modulated (FM) radar waveforms and their observed separability. A statistical and analytical framework is developed through which the average separability is determined as a function of the mutual time–bandwidth product between the interfering waveforms. The analytically derived predictor for waveform separability is then compared to a long-observed heuristic. Since random waveforms exhibit stochastic cross correlations, the maximum deviation above the analytically derived predictor is also examined. High-dimensional Monte Carlo simulations are used to numerically validate the analytical results.