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Density Function of the Received Signal in OFDM-based Distributed Detection Fusion System

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Abstract

Probability density function (pdf) of the received signal is necessary for the distributed detection fusion when the unreliable channels between the local sensors and the fusion center are considered. Hitherto study has never been made on the statistical distribution of the demodulated OFDM signal over multipath fading channel. Modeling the OFDM system over the multi-path channel, we derived the pdf of the channel frequency domain impulse response by introducing the characteristic function. And the pdf of the demodulated OFDM signal on the receiver side is deduced based on the theory of spherically symmetric random vectors. In addition, an example of OFDM-based distributed detection fusion is presented to illustrate the application of the derived pdf. Simulations show that the fusion with signal statistic information generally does better than fusion without any signal statistic information, and achieves the same performance as the fusion with perfect channel state information if the channel signal-to-noise ratio is above 7 dB.

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Acknowledgments

This work is supported by National Nature Science Foundation of China (Nos. 61201217, 61371124), and China Postdoctoral Science Foundation Grant (Nos. 2012M512085, 2013T60911). This paper was presented in part at WCSP 2010 and WCSP 2011.

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  1. College of Communications Engineering, PLAUST, Nanjing, China

    Renhui Xu

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  1. Renhui Xu
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Correspondence to Renhui Xu.

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Xu, R. Density Function of the Received Signal in OFDM-based Distributed Detection Fusion System. Int J Wireless Inf Networks 22, 357–368 (2015). https://doi.org/10.1007/s10776-015-0281-0

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