eprintid: 4281
rev_number: 10
eprint_status: archive
userid: 381
dir: disk0/00/00/42/81
datestamp: 2020-12-17 05:22:04
lastmod: 2020-12-17 05:22:04
status_changed: 2020-12-17 05:22:04
type: article
metadata_visibility: show
creators_name: Nguyen, Viet Dung
creators_name: Phan, Huy
creators_name: Mansour, Ali
creators_name: Coatanhay, Arnaud
creators_name: Marsault, Thierry
creators_id: nvdung@vnu.edu.vn
title: On the proof of recursive Vogler algorithm for multiple knife-edge diffraction
ispublished: pub
subjects: isi
divisions: avitech
abstract: We consider the problem of multiple knife-edge diffraction estimation which is a fundamental task in many wireless communication applications. So far, one of the most accurate methods for this problem is the Vogler one whose recursive implementation is efficient to reduce the high computational complexity of the direct one. However, in the original report, Vogler only presented the final result of the recursive algorithm without a rigorous mathematical proof, thus making the method difficult to understand and implement in practice. To tackle this shortcoming, we first analyze the mathematical structure of the problem and then present a formal proof of the result. To gain intuition of the proof and the key steps, we provide a simplified study case of four knife-edges. The insight from our proposed analysis and proof can be used to obtain a comprehensive interpretation, initiate a practical implementation and develop new efficient algorithms with similar structure.
date: 2020-11-18
date_type: published
publisher: IEEE
official_url: https://ieeexplore.ieee.org/document/9263367
id_number: 10.1109/TAP.2020.3037748
full_text_status: public
publication: IEEE Transactions on Antennas and Propagation
refereed: TRUE
citation:   Nguyen, Viet Dung and Phan, Huy and Mansour, Ali and Coatanhay, Arnaud and Marsault, Thierry  (2020) On the proof of recursive Vogler algorithm for multiple knife-edge diffraction.  IEEE Transactions on Antennas and Propagation .        
document_url: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/4281/2/Phan%20On%20the%20proof%202020%20Accepted.pdf