The Self-Duality of Discrete Short-Time Fourier Transform and Its Applications

被引：8
|
作者：
Sang, Tzu-Hsien [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Elect Engn, Hsinchu 300, Taiwan
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2010年 / 58卷 / 02期
关键词：
Discrete short-time Fourier transform (STFT); self-duality; signal synthesis; time-frequency analysis; FREQUENCY SIGNAL ANALYSIS; WIGNER DISTRIBUTION; KERNEL DESIGN; PHASE; MAGNITUDE; RECONSTRUCTION; DISTRIBUTIONS; TOOL; PLANE;
D O I：
10.1109/TSP.2009.2032038
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The self-duality of short-time Fourier transform (STFT) is an elegant property and is useful in shedding light on the construction of STFT and its resolution capability. In this paper, the discrete version of self-duality is studied, and the property is interpreted in the context of resolution capabilities of time frequency distributions. In addition, two applications are provided as showcases of these insights obtained from the interpretation. In the first application, the problem of STFT synthesis is considered, and self-duality serves as an important indication of whether the synthesis problem at hands is properly formulated. In the second application, a new kind of high-resolution time-frequency distribution is constructed based on the understandings obtained by contrasting two of the most popular time-frequency analysis tools, namely, the STFT and the Wigner distribution.
引用
收藏
页码：604 / 612
页数：9
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