11 Aug 2023
 | 11 Aug 2023
Status: this preprint is open for discussion and under review for Atmospheric Measurement Techniques (AMT).

Assessing Atmospheric Gravity Wave Spectra in the Presence of Observational Gaps

Mohamed Mossad, Irina Strelnikova, Robin Wing, and Gerd Baumgarten

Abstract. We present a thorough investigation into the accuracy and reliability of gravity wave (GW) spectral estimation methods when dealing with observational gaps. GWs have a significant impact on atmospheric dynamics, exerting influence over weather and climate patterns. However, empirical atmospheric measurements often suffer from data gaps caused by various factors, leading to biased estimations of the spectral power-law exponent (β). This exponent describes how the energy of GWs changes with frequency over a defined range of GW scales. In this study, we meticulously evaluate three commonly employed estimation methods: the Fast Fourier Transform (FFT), Generalised Lomb-Scargle periodogram (GLS), and Haar Structure Function (HSF). We assess their performance using time series of synthetic observational data with varying levels of complexity, ranging from a single sinusoid to superposed sinusoids with randomly distributed wave parameters. By providing a comprehensive analysis of the advantages and limitations of these methods, our aim is to provide a valuable roadmap for selecting the most suitable approach for accurate estimations of β from sparse observational datasets.

Mohamed Mossad et al.

Status: open (until 12 Oct 2023)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2023-1598', Anonymous Referee #1, 28 Sep 2023 reply

Mohamed Mossad et al.

Mohamed Mossad et al.


Total article views: 185 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
123 52 10 185 10 5
  • HTML: 123
  • PDF: 52
  • XML: 10
  • Total: 185
  • BibTeX: 10
  • EndNote: 5
Views and downloads (calculated since 11 Aug 2023)
Cumulative views and downloads (calculated since 11 Aug 2023)

Viewed (geographical distribution)

Total article views: 183 (including HTML, PDF, and XML) Thereof 183 with geography defined and 0 with unknown origin.
Country # Views %
  • 1
Latest update: 30 Sep 2023
Short summary
This paper is a numerical study addressing the problem of observational gaps in atmospheric measurements. We have tested three commonly used techniques, namely the FFT, GLS and HSF. We have found the GLS is a more reliable method for identifying the periodic components of gapped GW time series, particularly when dealing with high-frequency waves. The Haar Structure Function (HSF) is good for producing spectra with negative slopes, the GLS excels for flat spectra and positive slopes.