A Novel Method for Multipath Separation and Measurement of Root Mean Square Delay Spread Based on Fractional Fourier Transform in a Multipath Channel

Zeyi Yang, R. Tao, Yue Wang
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Abstract

Based on the fractional Fourier transform (FrFT), the authors propose a novel method for multipath separation and measurement of root mean square (RMS) delay spread by using a chirp pilot symbols. Different multipath chirp components with different time delays will be concentrated on different fractional frequency points in fractional Fourier domain (FrFD) through FrFT. Meanwhile, the envelope amplitude of a concentrated component indicates the corresponding signal energy. Therefore, the different multipath components can be separated clearly and the RMS delay spread of a multipath channel can be measured accurately in FrFD.
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一种基于分数阶傅里叶变换的多径分离与时延测量新方法
基于分数阶傅里叶变换(FrFT),提出了一种利用啁啾导频符号进行多径分离和测量均方根(RMS)延迟扩展的新方法。在分数阶傅立叶域(FrFD)中,不同时延的多径啁啾分量通过FrFT集中在不同的分数阶频率点上。同时,一个集中分量的包络幅值表示对应的信号能量。因此,在FrFD中可以清晰地分离不同的多径分量,准确地测量多径信道的RMS时延扩展。
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