Non-linear stacking of signals using generalized average of complex numbers

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025798%3A_____%2F22%3A00000131" target="_blank" >RIV/00025798:_____/22:00000131 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11310/22:10447530

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0263224122010223?dgcid=coauthor" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0263224122010223?dgcid=coauthor</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.measurement.2022.111821" target="_blank" >10.1016/j.measurement.2022.111821</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Non-linear stacking of signals using generalized average of complex numbers

Popis výsledku v původním jazyce

Stacking repeated records can improve the signal-to-noise ratio (SNR) of seismic, geo-radar, or nuclear magnetic resonance measurements. Stacking usually employs a simple summation of amplitudes, but some procedures are also available based on non-linear stacking. This paper analyses the properties of the PWS (Phase-Weighted Stacks) and GAS (Generalized Average of Signals) methods. The PWS is based on the similarity of instantaneous phases on the corresponding complex signals. The GAS uses the averaging of complex spectra in the frequency domain, employing the Generalized Average of Complex Numbers (GACN). We demonstrate our GAS implementation and present its properties compared to PWS. A new method of averaging using GACN is proposed, where we sum the complex signals in the time domain. All three non-linear methods are applied to synthetic and field data, and the SNR improvement compared to simple summation is analyzed. It is shown that non-linear stacking can improve the SNR by up to the first tens of dB. The advantages of time-domain methods are their lower computational complexity and the fact that they do not depend on the choice of the computation window length compared to GAS.

Název v anglickém jazyce

Non-linear stacking of signals using generalized average of complex numbers

Popis výsledku anglicky

Stacking repeated records can improve the signal-to-noise ratio (SNR) of seismic, geo-radar, or nuclear magnetic resonance measurements. Stacking usually employs a simple summation of amplitudes, but some procedures are also available based on non-linear stacking. This paper analyses the properties of the PWS (Phase-Weighted Stacks) and GAS (Generalized Average of Signals) methods. The PWS is based on the similarity of instantaneous phases on the corresponding complex signals. The GAS uses the averaging of complex spectra in the frequency domain, employing the Generalized Average of Complex Numbers (GACN). We demonstrate our GAS implementation and present its properties compared to PWS. A new method of averaging using GACN is proposed, where we sum the complex signals in the time domain. All three non-linear methods are applied to synthetic and field data, and the SNR improvement compared to simple summation is analyzed. It is shown that non-linear stacking can improve the SNR by up to the first tens of dB. The advantages of time-domain methods are their lower computational complexity and the fact that they do not depend on the choice of the computation window length compared to GAS.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10505 - Geology

Projekt

<a href="/cs/project/SS02030023" target="_blank" >SS02030023: Horninové prostředí a suroviny</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Measurement

ISSN

0263-2241

e-ISSN

—

Svazek periodika

202

Číslo periodika v rámci svazku

October : 111821

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

nestránkováno

Kód UT WoS článku

000860689500003

EID výsledku v databázi Scopus

2-s2.0-85137169812