{"title":"PAM/FM和PAM/PM的功率谱","authors":"G. Pelchat","doi":"10.1109/TSET.1965.5009647","DOIUrl":null,"url":null,"abstract":"Mathematical expressions are obtained for FM and PM power spectra when the modulating waveform is a constantrate random sequence of nonoverlapping pulses with arbitrary shape and amplitude distribution. These expressions essentially reduce the computation of power spectrum to the computation of the average energy spectrum of a section of the wave only two pulses in length. The results are applied to the special PAM/FM case where the modulating pulses have a rectangular shape and uniformly distributed amplitude. Spectra are plotted for several values of the deviation ratio. Results are also given for the much simpler case of binary PAM/PM for arbitrary phase deviations.","PeriodicalId":153922,"journal":{"name":"IEEE Transactions on Space Electronics and Telemetry","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1965-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Power Spectrum of PAM/FM and PAM/PM\",\"authors\":\"G. Pelchat\",\"doi\":\"10.1109/TSET.1965.5009647\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Mathematical expressions are obtained for FM and PM power spectra when the modulating waveform is a constantrate random sequence of nonoverlapping pulses with arbitrary shape and amplitude distribution. These expressions essentially reduce the computation of power spectrum to the computation of the average energy spectrum of a section of the wave only two pulses in length. The results are applied to the special PAM/FM case where the modulating pulses have a rectangular shape and uniformly distributed amplitude. Spectra are plotted for several values of the deviation ratio. Results are also given for the much simpler case of binary PAM/PM for arbitrary phase deviations.\",\"PeriodicalId\":153922,\"journal\":{\"name\":\"IEEE Transactions on Space Electronics and Telemetry\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1965-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Space Electronics and Telemetry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TSET.1965.5009647\",\"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 Space Electronics and Telemetry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TSET.1965.5009647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical expressions are obtained for FM and PM power spectra when the modulating waveform is a constantrate random sequence of nonoverlapping pulses with arbitrary shape and amplitude distribution. These expressions essentially reduce the computation of power spectrum to the computation of the average energy spectrum of a section of the wave only two pulses in length. The results are applied to the special PAM/FM case where the modulating pulses have a rectangular shape and uniformly distributed amplitude. Spectra are plotted for several values of the deviation ratio. Results are also given for the much simpler case of binary PAM/PM for arbitrary phase deviations.