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Impact of Nonlinear Transformation on Signal Detection: A Minimum Error Probability Perspective

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Communications, Signal Processing, and Systems (CSPS 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 463))

Abstract

This paper investigates the impact of nonlinear transformation on signal detection from a minimum error probability perspective. Firstly, we derive the probability density distributions of three transformed received signal over binary input additive white Gaussian noise (BIAWGN) channel, including square transformation, abs (absolute value) transformation and changing the sampling times. Then, we derive the three optimal decision thresholds respectively for the three transformations under the criteria of minimum error probability. Furthermore, we make simulations to compare the minimum error probability of the three transformed ones with the original signal, trying to find the nonlinear transformation with smaller minimum error probability.

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Acknowledgement

This work is supported by the National Natural Science Foundation of China under Grants 61631020 and 61501510, and Natural Science Foundation of Jiangsu Province under Grant BK20150717.

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Authors and Affiliations

  1. Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, Jiangsu, China

    Feng Shen & Qihui Wu

  2. PLA University of Science and Technology, Nanjing, 210007, Jiangsu, China

    Lizhen Chen & Guoru Ding

Authors
  1. Feng Shen
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  2. Lizhen Chen
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  3. Guoru Ding
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  4. Qihui Wu
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Corresponding author

Correspondence to Feng Shen .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Texas at Arlington, Arlington, Texas, USA

    Qilian Liang

  2. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Jiasong Mu

  3. Harbin Institute of Technology, Harbin, Heilongjiang, China

    Min Jia

  4. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Wei Wang

  5. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Xuhong Feng

  6. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Baoju Zhang

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Cite this paper

Shen, F., Chen, L., Ding, G., Wu, Q. (2019). Impact of Nonlinear Transformation on Signal Detection: A Minimum Error Probability Perspective. In: Liang, Q., Mu, J., Jia, M., Wang, W., Feng, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2017. Lecture Notes in Electrical Engineering, vol 463. Springer, Singapore. https://doi.org/10.1007/978-981-10-6571-2_192

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  • DOI: https://doi.org/10.1007/978-981-10-6571-2_192

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6570-5

  • Online ISBN: 978-981-10-6571-2

  • eBook Packages: EngineeringEngineering (R0)

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