A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements

In measurements and numerical modelling of wave propagation, undesired interference between direct and multipath arrivals can be reduced using Fourier-based signal processing methods. Existing methods, such as cepstral analysis and time-signal gating, are not applicable to all cases. Here, an altern...

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Main Authors: Eivind Nag Mosland, Per Lunde, Jan Kocbach
Format: Article
Language:English
Published: Elsevier 2023-12-01
Series:MethodsX
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2215016123004715
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author Eivind Nag Mosland
Per Lunde
Jan Kocbach
author_facet Eivind Nag Mosland
Per Lunde
Jan Kocbach
author_sort Eivind Nag Mosland
collection DOAJ
description In measurements and numerical modelling of wave propagation, undesired interference between direct and multipath arrivals can be reduced using Fourier-based signal processing methods. Existing methods, such as cepstral analysis and time-signal gating, are not applicable to all cases. Here, an alternative Fourier-based signal processing method is presented, called spectrum-of-spectrum (SoS) filtering. Its main advantage over existing methods is its ability to extract single direct or multipath arrivals for relatively short propagation distances even when subsequent arrivals do not become successively weaker. The method is based on the following steps: • Apply a lowpass filter to the real and imaginary parts of an input frequency spectrum individually, using a digital finite impulse response (FIR) filter in the frequency domain. • Recombine the filtered real and imaginary parts of the frequency spectrum to get the frequency spectrum of the direct arrival. • For extraction of the first multipath arrival, subtract the filtered frequency spectrum from the input frequency spectrum and repeat the previous steps. Repeat multiple times to extract subsequent multipath arrivals.
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spelling doaj.art-f912d77dadb54535b120c5c9502847e62023-12-04T05:22:51ZengElsevierMethodsX2215-01612023-12-0111102475A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurementsEivind Nag Mosland0Per Lunde1Jan Kocbach2Department of Physics and Technology, University of Bergen, P.O. Box 7803, Bergen N-5020, Norway; Corresponding author.Department of Physics and Technology, University of Bergen, P.O. Box 7803, Bergen N-5020, NorwayNORCE Norwegian Research Centre AS, P.O. Box 22 Nygårdstangen, Bergen N-5838, NorwayIn measurements and numerical modelling of wave propagation, undesired interference between direct and multipath arrivals can be reduced using Fourier-based signal processing methods. Existing methods, such as cepstral analysis and time-signal gating, are not applicable to all cases. Here, an alternative Fourier-based signal processing method is presented, called spectrum-of-spectrum (SoS) filtering. Its main advantage over existing methods is its ability to extract single direct or multipath arrivals for relatively short propagation distances even when subsequent arrivals do not become successively weaker. The method is based on the following steps: • Apply a lowpass filter to the real and imaginary parts of an input frequency spectrum individually, using a digital finite impulse response (FIR) filter in the frequency domain. • Recombine the filtered real and imaginary parts of the frequency spectrum to get the frequency spectrum of the direct arrival. • For extraction of the first multipath arrival, subtract the filtered frequency spectrum from the input frequency spectrum and repeat the previous steps. Repeat multiple times to extract subsequent multipath arrivals.http://www.sciencedirect.com/science/article/pii/S2215016123004715Spectrum-of-spectrum filtering
spellingShingle Eivind Nag Mosland
Per Lunde
Jan Kocbach
A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
MethodsX
Spectrum-of-spectrum filtering
title A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
title_full A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
title_fullStr A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
title_full_unstemmed A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
title_short A spectrum-of-spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
title_sort spectrum of spectrum filtering method to extract direct and multipath arrivals from simulations and measurements
topic Spectrum-of-spectrum filtering
url http://www.sciencedirect.com/science/article/pii/S2215016123004715
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