The Radon and Hilbert transforms and their applications to atmospheric waves

IF 2 4区 地球科学 Q3 METEOROLOGY & ATMOSPHERIC SCIENCES Atmospheric Science Letters Pub Date : 2024-03-13 DOI:10.1002/asl.1215
Víctor C. Mayta, Ángel F. Adames Corraliza, Qiao-Jun Lin
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Abstract

The Radon and Hilbert transform and their applications to convectively coupled waves (CCWs) are reviewed. The Hilbert Transform is used to compute the wave envelope, whereas the Radon transform is used to estimate the phase and group velocities of CCWs. Together, they provide an objective method to understand CCW propagation. Results reveal phase speeds and group velocities for fast waves (mixed Rossby-gravity, westward and eastward inertio-gravity, and Kelvin) that are consistent with previous studies and with Matsuno's equatorial wave dispersion curves. However, slowly-propagating tropical depression-like systems and equatorial Rossby waves exhibit wave envelopes that propagate faster than the individual wave crests, which is not predicted by dry shallow water theory.

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拉顿变换和希尔伯特变换及其在大气波中的应用
本文回顾了拉顿变换和希尔伯特变换及其在对流耦合波(CCW)中的应用。希尔伯特变换用于计算波包络,而拉顿变换则用于估算对流耦合波的相位和群速度。它们共同提供了一种了解 CCW 传播的客观方法。研究结果表明,快速波(混合罗斯比重力波、西向和东向惰性重力波以及开尔文波)的相位速度和群速度与以前的研究以及松野的赤道波频散曲线相一致。然而,缓慢传播的类热带低气压系统和赤道罗斯比波显示出比单个波峰传播速度更快的波包,而这是干浅水理论所无法预测的。
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来源期刊
Atmospheric Science Letters
Atmospheric Science Letters METEOROLOGY & ATMOSPHERIC SCIENCES-
CiteScore
4.90
自引率
3.30%
发文量
73
审稿时长
>12 weeks
期刊介绍: Atmospheric Science Letters (ASL) is a wholly Open Access electronic journal. Its aim is to provide a fully peer reviewed publication route for new shorter contributions in the field of atmospheric and closely related sciences. Through its ability to publish shorter contributions more rapidly than conventional journals, ASL offers a framework that promotes new understanding and creates scientific debate - providing a platform for discussing scientific issues and techniques. We encourage the presentation of multi-disciplinary work and contributions that utilise ideas and techniques from parallel areas. We particularly welcome contributions that maximise the visualisation capabilities offered by a purely on-line journal. ASL welcomes papers in the fields of: Dynamical meteorology; Ocean-atmosphere systems; Climate change, variability and impacts; New or improved observations from instrumentation; Hydrometeorology; Numerical weather prediction; Data assimilation and ensemble forecasting; Physical processes of the atmosphere; Land surface-atmosphere systems.
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