Nonlinear Beamforming Based on Group-Sparsities of Periodograms for Phased Array Weather Radar

التفاصيل البيبلوغرافية
العنوان: Nonlinear Beamforming Based on Group-Sparsities of Periodograms for Phased Array Weather Radar
المؤلفون: Daichi Kitahara (10214921), Hiroki Kuroda (10215041), Akira Hirabayashi (10215053), Eiichi Yoshikawa (10215065), Hiroshi Kikuchi (9655160), Tomoo Ushio (9659475)
سنة النشر: 2021
المجموعة: Smithsonian Institution: Digital Repository
مصطلحات موضوعية: Signal Processing and Analysis, Geoscience, phased array weather radar, distributed target, beamforming, periodogram, group-sparsity, convex optimization
الوصف: We propose nonlinear beamforming for phased array weather radars (PAWRs). Conventional beamforming is linear in the sense that a backscattered signal arriving from each elevation is reconstructed by a weighted sum of received signals, which can be seen as a linear transform for the received signals. For distributed targets such as raindrops, however, the number of scatterers is significantly large, differently from the case of point targets that are standard targets in array signal processing. Thus, the spatial resolution of the conventional linear beamforming is limited. To improve the spatial resolution, we exploit two characteristics of a periodogram of each backscattered signal from the distributed targets. The periodogram is a series of the powers of the discrete Fourier transform (DFT) coefficients of each backscattered signal and utilized as a nonparametric estimate of the power spectral density. Since each power spectral density is proportional to the Doppler frequency distribution, (i) major components of the periodogram are concentrated in the vicinity of the mean Doppler frequency, and (ii) frequency indices of the major components are similar between adjacent elevations. These are expressed as group-sparsities of the DFT coefficient matrix of the backscattered signals, and we propose to reconstruct the signals through convex optimization exploiting the group-sparsities. We consider two optimization problems. One problem roughly evaluates the group-sparsities and is relatively easy to solve. The other evaluates the group-sparsities more accurately, but requires more time to solve. Both problems are solved with the alternating direction method of multipliers including nonlinear mappings. Simulations using synthetic and real-world PAWR data show that the proposed method dramatically improves the spatial resolution.
نوع الوثيقة: report
اللغة: unknown
Relation: https://figshare.com/articles/preprint/Nonlinear_Beamforming_Based_on_Group-Sparsities_of_Periodograms_for_Phased_Array_Weather_Radar/14138537
DOI: 10.36227/techrxiv.14138537.v3
الاتاحة: https://doi.org/10.36227/techrxiv.14138537.v3
Rights: CC BY 4.0
رقم الانضمام: edsbas.A2952344
قاعدة البيانات: BASE
الوصف
DOI:10.36227/techrxiv.14138537.v3