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Signal Reconstruction from Sparse Measurements Using Compressive Sensing Technique

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Methods and Techniques of Signal Processing in Physical Measurements (MSM 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 548))

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Abstract

The paper presents the possibility of applying a new class of mathematical methods, known as Compressive Sensing (CS) for recovering the signal from a small set of measured samples. CS allows the faithful reconstruction of the original signal back from fewer random measurements by making use of some non-linear reconstruction techniques. Since of all these features, CS finds its applications especially in the areas where, sensing is time consuming or power constrained. An electromagnetic interference measurement is a field where the CS technique can be used. In this case, a sparse signal decomposition based on matching pursuit (MP) algorithm, which decomposes a signal into a linear expansion of element chirplet functions selected from a complete and redundant time-frequency dictionary is applied. The presented paper describes both the fundamentals of CS and how to implement MP for CS reconstruction in relation to non-stationary signals.

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Author information

Authors and Affiliations

  1. Gdansk University of Technology, 11/12 Gabriela Narutowicza Street, 80-233, Gdansk, Poland

    Beata Palczynska

  2. Gdynia Maritime University, Morska 81-87, 80-225, Gdynia, Poland

    Beata Palczynska

Authors
  1. Beata Palczynska
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Correspondence to Beata Palczynska .

Editor information

Editors and Affiliations

  1. Faculty of Electrical and Computer Engineering, Rzeszów University of Technology, Rzeszów, Poland

    Robert Hanus

  2. Faculty of Electrical and Computer Engineering, Rzeszów University of Technology, Rzeszów, Poland

    Damian Mazur

  3. Faculty of Electrical Engineering,Electrical Machines and Drive Systems, Helmut Schmidt University ,University of the Federal Armed Forces Hamburg,, Hamburg, Hamburg, Germany

    Christian Kreischer

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Palczynska, B. (2019). Signal Reconstruction from Sparse Measurements Using Compressive Sensing Technique. In: Hanus, R., Mazur, D., Kreischer, C. (eds) Methods and Techniques of Signal Processing in Physical Measurements. MSM 2018. Lecture Notes in Electrical Engineering, vol 548. Springer, Cham. https://doi.org/10.1007/978-3-030-11187-8_20

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  • DOI: https://doi.org/10.1007/978-3-030-11187-8_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11186-1

  • Online ISBN: 978-3-030-11187-8

  • eBook Packages: EngineeringEngineering (R0)

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