Pub Date : 2024-09-02DOI: 10.1109/LMWT.2024.3449813
Qiuyi Wu;Shangru Li;Yimin Yang
This letter introduces a novel method for decomposing high-order filter transfer matrices using the Bezout theorem, ensuring numerical stability. By employing polynomial division and remainder calculations, it circumvents the errors associated with evaluating high-order polynomials. Furthermore, since the extraction process involves updating the reciprocity equation, the numerical errors introduced at each step do not accumulate, ensuring a stable process. This letter outlines the extraction process for each element within the extracted pole (EP) filter and validates the proposed approach’s effectiveness and numerical stability by synthesizing a 16th-order dual-band filter with seven transmission zeros. Through error analysis, this letter quantitatively assesses the error levels of various methods, underscoring the substantial benefits of the proposed method.
{"title":"Transfer Matrices Decomposition With Bezout Theorem","authors":"Qiuyi Wu;Shangru Li;Yimin Yang","doi":"10.1109/LMWT.2024.3449813","DOIUrl":"https://doi.org/10.1109/LMWT.2024.3449813","url":null,"abstract":"This letter introduces a novel method for decomposing high-order filter transfer matrices using the Bezout theorem, ensuring numerical stability. By employing polynomial division and remainder calculations, it circumvents the errors associated with evaluating high-order polynomials. Furthermore, since the extraction process involves updating the reciprocity equation, the numerical errors introduced at each step do not accumulate, ensuring a stable process. This letter outlines the extraction process for each element within the extracted pole (EP) filter and validates the proposed approach’s effectiveness and numerical stability by synthesizing a 16th-order dual-band filter with seven transmission zeros. Through error analysis, this letter quantitatively assesses the error levels of various methods, underscoring the substantial benefits of the proposed method.","PeriodicalId":73297,"journal":{"name":"IEEE microwave and wireless technology letters","volume":"34 10","pages":"1143-1146"},"PeriodicalIF":0.0,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142397431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-08-27DOI: 10.1109/LMWT.2024.3445651
Sutton Hathorn;Saeed Mohammadi
This work presents a class-F voltage controlled oscillator (VCO) optimized for small area and low power. The VCO uses a transformer core to create an additional resonant peak at the third harmonic of the fundamental frequency and therefore improves phase noise performance. The transformer provides passive voltage gain which in turn allows for a reduction in supply voltage and power consumption. The VCO, with an area of only 0.022 mm2, was implemented in 22-nm fully depleted silicon on insulator (FDSOI) and achieves a peak area figure of merit $text {FOM}_{A}=189~text {dB}$