{"title":"脉冲调幅信号的数学表示:一个系统的方法","authors":"K. Grebenyuk","doi":"10.1109/dspa53304.2022.9790778","DOIUrl":null,"url":null,"abstract":"Present paper systematizes the knowledge on methods of mathematical representation of pulse-amplitude modulated (PAM) signals. Both natural and flat-top PAM signals have been considered, and for each type of signal two basic ways of representation have been described. Special attention has been paid to mathematical technique of transition from one representation to another. It has been shown that Fourier transform of the natural PAM signal has the functional form of the flat-top PAM signal, and, vice versa, Fourier transform of the flat-top PAM signal has the functional form of the natural PAM signal.","PeriodicalId":428492,"journal":{"name":"2022 24th International Conference on Digital Signal Processing and its Applications (DSPA)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematical Representation of Pulse-Amplitude Modulated Signals: A Systematic Approach\",\"authors\":\"K. Grebenyuk\",\"doi\":\"10.1109/dspa53304.2022.9790778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Present paper systematizes the knowledge on methods of mathematical representation of pulse-amplitude modulated (PAM) signals. Both natural and flat-top PAM signals have been considered, and for each type of signal two basic ways of representation have been described. Special attention has been paid to mathematical technique of transition from one representation to another. It has been shown that Fourier transform of the natural PAM signal has the functional form of the flat-top PAM signal, and, vice versa, Fourier transform of the flat-top PAM signal has the functional form of the natural PAM signal.\",\"PeriodicalId\":428492,\"journal\":{\"name\":\"2022 24th International Conference on Digital Signal Processing and its Applications (DSPA)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 24th International Conference on Digital Signal Processing and its Applications (DSPA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/dspa53304.2022.9790778\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 24th International Conference on Digital Signal Processing and its Applications (DSPA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/dspa53304.2022.9790778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical Representation of Pulse-Amplitude Modulated Signals: A Systematic Approach
Present paper systematizes the knowledge on methods of mathematical representation of pulse-amplitude modulated (PAM) signals. Both natural and flat-top PAM signals have been considered, and for each type of signal two basic ways of representation have been described. Special attention has been paid to mathematical technique of transition from one representation to another. It has been shown that Fourier transform of the natural PAM signal has the functional form of the flat-top PAM signal, and, vice versa, Fourier transform of the flat-top PAM signal has the functional form of the natural PAM signal.
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