{"title":"三阶IIR数字滤波器在传递函数分母系数空间中的BIBO稳定性判据的表述","authors":"V. Lesnikov, T. Naumovich, A. Chastikov","doi":"10.1109/EWDTS.2014.7027080","DOIUrl":null,"url":null,"abstract":"Criterion for the BIBO stability of the IIR digital filters is well known. IIR filter is BIBO stable if and only if all of its poles are strictly inside the unit circle in the complex z-plane. To analyze the stability of biquad filters in the space of coefficients is constructed the famous “triangle of stability”. In this paper, this criterion extends on third order IIR digital filters.","PeriodicalId":272780,"journal":{"name":"Proceedings of IEEE East-West Design & Test Symposium (EWDTS 2014)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The formulation of criteria of BIBO stability of 3rd-order IIR digital filters in space of coefficients of a denominator of transfer function\",\"authors\":\"V. Lesnikov, T. Naumovich, A. Chastikov\",\"doi\":\"10.1109/EWDTS.2014.7027080\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Criterion for the BIBO stability of the IIR digital filters is well known. IIR filter is BIBO stable if and only if all of its poles are strictly inside the unit circle in the complex z-plane. To analyze the stability of biquad filters in the space of coefficients is constructed the famous “triangle of stability”. In this paper, this criterion extends on third order IIR digital filters.\",\"PeriodicalId\":272780,\"journal\":{\"name\":\"Proceedings of IEEE East-West Design & Test Symposium (EWDTS 2014)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE East-West Design & Test Symposium (EWDTS 2014)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/EWDTS.2014.7027080\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE East-West Design & Test Symposium (EWDTS 2014)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EWDTS.2014.7027080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The formulation of criteria of BIBO stability of 3rd-order IIR digital filters in space of coefficients of a denominator of transfer function
Criterion for the BIBO stability of the IIR digital filters is well known. IIR filter is BIBO stable if and only if all of its poles are strictly inside the unit circle in the complex z-plane. To analyze the stability of biquad filters in the space of coefficients is constructed the famous “triangle of stability”. In this paper, this criterion extends on third order IIR digital filters.