University of Oulu

Ross, S., Arjas, A., Virtanen, I. I., Sillanpää, M. J., Roininen, L., and Hauptmann, A.: Hierarchical deconvolution for incoherent scatter radar data, Atmos. Meas. Tech., 15, 3843–3857,

Hierarchical deconvolution for incoherent scatter radar data

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Author: Ross, Snizhana1; Arjas, Arttu1; Virtanen, Ilkka I.2;
Organizations: 1Research Unit of Mathematical Sciences, University of Oulu, 90014 Oulu, Finland
2Research Unit of Space Physics and Astronomy, University of Oulu, 90014 Oulu, Finland
3School of Engineering Science, Lappeenranta-Lahti University of Technology, 53851 Lappeenranta, Finland
4Department of Computer Science, University College London, London WC1E 6BT, UK
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.8 MB)
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Language: English
Published: Copernicus Publications, 2022
Publish Date: 2022-07-01


We propose a novel method for deconvolving incoherent scatter radar data to recover accurate reconstructions of backscattered powers. The problem is modelled as a hierarchical noise-perturbed deconvolution problem, where the lower hierarchy consists of an adaptive length-scale function that allows for a non-stationary prior and as such enables adaptive recovery of smooth and narrow layers in the profiles. The estimation is done in a Bayesian statistical inversion framework as a two-step procedure, where hyperparameters are first estimated by optimisation and followed by an analytical closed-form solution of the deconvolved signal. The proposed optimisation-based method is compared to a fully probabilistic approach using Markov chain Monte Carlo techniques enabling additional uncertainty quantification. In this paper we examine the potential of the hierarchical deconvolution approach using two different prior models for the length-scale function. We apply the developed methodology to compute the backscattered powers of measured polar mesospheric winter echoes, as well as summer echoes, from the EISCAT VHF radar in Tromsø, Norway. Computational accuracy and performance are tested using a simulated signal corresponding to a typical background ionosphere and a sporadic E layer with known ground truth. The results suggest that the proposed hierarchical deconvolution approach can recover accurate and clean reconstructions of profiles, and the potential to be successfully applied to similar problems.

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Series: Atmospheric measurement techniques
ISSN: 1867-1381
ISSN-E: 1867-8548
ISSN-L: 1867-1381
Volume: 15
Issue: 12
Pages: 3843 - 3857
DOI: 10.5194/amt-15-3843-2022
Type of Publication: A1 Journal article – refereed
Field of Science: 112 Statistics and probability
Funding: This research has been supported by the Academy of Finland (Profi 5, project no. 326291; Profi 2, project no. 301542; grant nos. 336787, 336796, and 338408).
Academy of Finland Grant Number: 336796
Detailed Information: 336796 (Academy of Finland Funding decision)
338408 (Academy of Finland Funding decision)
Copyright information: © Author(s) 2022. This work is distributed under the Creative Commons Attribution 4.0 License.