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\(\varphi \hbox {FrMF}\): Fractional Fourier Matched Filter

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Abstract

The paper develops a new interpretation of matched filtering of non-stationary signals in the fractional Fourier transform domain, which is beneficial for non-stationary/time–frequency signal processing applications. In the pursuit of establishing the theoretical and methodical foundation of matched filtering of non-stationary signal in the presence of non-stationary disturbance, the fractional-order signal processing technique is utilized. So in this context, it presents novel idea of improving the performance of non-stationary radar matched filtering in non-stationary disturbance as compared to classical approach. On the basis of derived analytical formulation, all theoretical results of proposed \(\varvec{\varphi }\)th fractional matched filter (\(\varvec{\varphi } \hbox {FrMF}\)) are corroborated by experimental results.

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Acknowledgements

The authors thank the Editor-in-Chief, Associate Editor, and anonymous reviewers for their rigorous reviews, constructive comments, and valuable suggestions which greatly improved the quality and clarity of manuscript presentation. The work was supported by Science and Engineering Research Board (SERB) (No. SB/S3/EECE/0149/2016), Department of Science and Technology (DST), Government of India, India.

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Authors and Affiliations

  1. Biomedical Signal Analysis and Interpretation Laboratory (BioSAIL), Department of Electronics and Communication Engineering, Thapar University, Patiala, Punjab, 147004, India

    Sanjay Kumar

  2. Jaypee University, Anoopshahr, Aligarh Road, Bulandshahr, Anoopshahr, Uttar Pradesh, 203390, India

    Rajiv Saxena

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  1. Sanjay Kumar
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  2. Rajiv Saxena
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Correspondence to Sanjay Kumar.

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Kumar, S., Saxena, R. \(\varphi \hbox {FrMF}\): Fractional Fourier Matched Filter. Circuits Syst Signal Process 37, 49–80 (2018). https://doi.org/10.1007/s00034-017-0562-1

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  • DOI: https://doi.org/10.1007/s00034-017-0562-1

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