Generalized Parseval’s Theorem on Fractional Fourier Transform for Discrete Signals and Filtering of LFM Signals

• 作者: Guanlei Xu Lijia Zhou Longtao Wang Xiaotong Wang Yue Ma
• 来源期刊: 信号与信息处理(英文)
• 学科: 数学
• 关键词: Discrete Fractional Fourier Transform (DFRFT) Uncertainty Principle Frequency-Limiting Operator Linear FREQUENCY-MODULATION (LFM) Signal FILTERING
• 年，卷（期）: xhyxxclyw_2013,（3）
• 页码范围: 274-281
• 页数: 8页
• 分类号: O1

摘要

This paper investigates the generalized Parseval’s theorem of fractional Fourier transform (FRFT) for concentrated data. Also, in the framework of multiple FRFT domains, Parseval’s theorem reduces to an inequality with lower and upper bounds associated with FRFT parameters, named as generalized Parseval’s theorem by us. These results theoretically provide potential valuable applications in filtering, and examples of filtering for LFM signals in FRFT domains are demonstrated to support the derived conclusions.