{"title":"沃尔什函数系统在导航数字数据处理中的应用","authors":"L. Petryshyn","doi":"10.1109/MSNMC.2016.7783166","DOIUrl":null,"url":null,"abstract":"The Walsh function system is a multiplicative group of Rademacher and Gray functions. In its structure, it contains discrete-harmonic, sin-components of the Rademacher functions, and cos-components of the Gray functions, as well as discrete-irregular components of the Walsh functions. The phase interdependence property has been defined, in pairs of a complete Walsh functions system. Odd (sin-components) and even (cos-components) Walsh function subsystems were extracted as theoretical and numerical data processing bases. The perspective concerning the following processing efficiency and digital signal processing was identified, as were navigation signal digital processing in defined functions systems.","PeriodicalId":420538,"journal":{"name":"2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Applying of the Walsh functions systems in navigation digital data processing\",\"authors\":\"L. Petryshyn\",\"doi\":\"10.1109/MSNMC.2016.7783166\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Walsh function system is a multiplicative group of Rademacher and Gray functions. In its structure, it contains discrete-harmonic, sin-components of the Rademacher functions, and cos-components of the Gray functions, as well as discrete-irregular components of the Walsh functions. The phase interdependence property has been defined, in pairs of a complete Walsh functions system. Odd (sin-components) and even (cos-components) Walsh function subsystems were extracted as theoretical and numerical data processing bases. The perspective concerning the following processing efficiency and digital signal processing was identified, as were navigation signal digital processing in defined functions systems.\",\"PeriodicalId\":420538,\"journal\":{\"name\":\"2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)\",\"volume\":\"95 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MSNMC.2016.7783166\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 4th International Conference on Methods and Systems of Navigation and Motion Control (MSNMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MSNMC.2016.7783166","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Applying of the Walsh functions systems in navigation digital data processing
The Walsh function system is a multiplicative group of Rademacher and Gray functions. In its structure, it contains discrete-harmonic, sin-components of the Rademacher functions, and cos-components of the Gray functions, as well as discrete-irregular components of the Walsh functions. The phase interdependence property has been defined, in pairs of a complete Walsh functions system. Odd (sin-components) and even (cos-components) Walsh function subsystems were extracted as theoretical and numerical data processing bases. The perspective concerning the following processing efficiency and digital signal processing was identified, as were navigation signal digital processing in defined functions systems.