Fractional S-Transform: Resolution Analysis and Application
The fractional Fourier transform (FrFT) plays an important role in analyzing the chirp signal. However, it fails in locating the local frequency contents which is required in some applications. Although the short-time Fourier transform (STFT) works well in locating the local frequency contents, it only has the fixed local resolution. However, Stransform (ST) not only locates frequency contents well, but also has frequency-dependent varying resolution. In this paper, the fractional S-transform (FrST), which connects the properties of both ST and FrFT and uniquely combines a frequency dependent resolution of the time-frequency space with absolutely referenced local fractional spectrum, is proposed. In addition, the optimal transform parameter for resolution analysis is also investigated. Its properties are presented as well. Examples are given to verify our proposed algorithm.
fractional S-transform (FrST) uncertainty principle fractional Fourier transform (FrFT) time-frequency
Xiaogtong Wang Guanlei Xu Xin Jin Xiaogang Xu Lijia Zhou Shipeng Su
Department of Navigation Dalian Naval Academy Dalian, China Department of Military Oceanography Dalian Naval Academy Dalian, China
国际会议
三峡
英文
2432-2435
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）