主題:The Partial-inverse Approach to Reed-Solomon Codes, Gabidulin Codes, and the Related Algebraic Codes.
在代數碼領域,我們提出一套基於Partial-inverse (PI) Problem與PI Algorithm的Approach。此PI problem含括多個重要基礎代數問題,例如 (1)求解代數環中之反元素問題 、(2)計算兩多項式之最大公因數問題、(3)多項式除法求商與餘數問題、(4)Pade approximation問題、(5)解碼Reed-Solomon codes與Gabidulin codes問題。我們建立PI problem的相關代數定理與性質,為相關代數理論與解碼問題提供一個統一的框架與觀點。此外,我們提出的PI algorithm含括Berlekamp-Massey algorithm與Euclidean algorithm,可視為是兩者的Common parent algorithm,同時擁有兩者的優點。PI algorithm可解Euclidean algorithm可解之問題,並可以如同Berlekamp-Massey algorithm之運算方式進行運算,具對應之最佳解碼性能,是可實際使用的Practical algorithm。這套PI Approach為Reed-Solomon codes、Interleaved Reed-Solomon codes、Gabidulin codes以及其他相關代數碼提供一套完整並且有效的解決方案。
[1] L. Lu, Jiun-Hung Yu, W.-J. Wu, C.-W. Liu, and Y. T. Su, “Reformulated partial-inverse algorithms for time-domain Reed-Solomon codes with hardware considerations,” IEEE Trans. Signal Processing, vol. 74, pp. 3708-3723, 2026.
[2] Jiun-Hung Yu and H.-A. Loeliger, ''The partial-Inverse approach to linearized polynomials and Gabidulin codes with applications to network coding,'' IEEE Transactions on Information Theory, vol. 69, no. 6, pp. 3759–3774, June, 2023. (
Link)
[3] Jiun-Hung Yu and H.-A. Loeliger, "Simultaneous partial inverses and decoding interleaved Reed-Solomon codes," IEEE Transactions on Information Theory, vol. 64, no. 12, pp. 7511–7528, Dec., 2018. (
Link)
[4] Jiun-Hung Yu and H.-A. Loeliger, "Partial-inverse mod m(x) and reverse Berlekamp-Massey decoding," IEEE Transactions on Information Theory, vol. 62, no 12, pp. 6737–6756, Dec. 2016. (
Link)
[5] Jiun-Hung Yu, "Decoding Reed-Solomon codes up to Sudan’s radius using simultaneous partial inverses," The 15th IEEE VTS Asia Pacific Wireless Commun. Symp., Hsinchu, Taiwan, Aug., 2018.
[6] Y.-P. Yang, Jiun-Hung Yu, and Y.-T. Su, ''Decoding time-domain Reed-Solomon codes with partial-inverse algorithm and generalized Horiguchi-Koetter interpolation,'' The 15th IEEE VTS Asia Pacific Wireless Commun. Symp., Hsinchi, Taiwan, Aug., 2018.
[7] Jiun-Hung Yu and H.-A. Loeliger, "Decoding of interleaved Reed-Solomon codes via simultaneous partial inverses," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Hong Kong, Jun. 2015.
[8] Jiun-Hung Yu and H.-A. Loeliger, "An algorithm for simultaneous partial inverses," in Proc. 52nd Annu. Allerton Conf. Commun. Control. Comput. Monticello, IL, USA, Oct. 2014.
[9] Jiun-Hung Yu and H.-A. Loeliger, "Reverse Berlekamp-Massey decoding," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Istanbul, Turkey, Jul. 2013.
[10] Jiun-Hung Yu and H.-A. Loeliger, "On polynomial remainder codes," in arXiv:1201.1812, 2012.
[11] Jiun-Hung Yu, "On the joint error-and-erasure decoding for irreducible polynomial remainder codes," in arXiv:1202.5413, 2012.
[12] Jiun-Hung Yu and H.-A. Loeliger, "On irreducible polynomial codes," in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Saint Petersburg, Russia, Jul./Aug. 2011., IEEE Int. Symp. Inf. Theory (ISIT), 2011, Saint Petersburg, Russia
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主題:MAP, ML, and MMSE receiver for millimeter wave user-equipment detection: beamforming, beamtracking, and data-symbols detection
本研究考慮毫米波通訊系統之訊號偵測以及資料符元接收問題,研究毫米波高指向通道下之波束成型、波束追蹤、與資料符元檢測之最佳接收機設計。使用混合式波束成型架構(Hybrid beamforming architecture),我們設計了新型的波束訓練演算法,其可快速找到基站與用戶端最可靠的波束進行高指向通訊,此演算法有極低的複雜度,很適合手機用戶端使用。此外,我們也發展了新型的聯合式波束追蹤以及資料符元接收演算法,該演算法可以在接收資料符元時,同時追蹤調整波束方向以解決可能因用戶端移動所產生的波束偏移問題。該演算法無需使用額外的波束訓練符元便可完成波束自動追蹤調整,可有效提升資料傳輸之吞吐量,維持高品質毫米波通訊。與現行文獻相比,這是第一套具波束自動追蹤功能但無需使用額外波束訓練符元的演算法。理論分析與電腦模擬顯示,本研究開發的訊號接收機可以得到最佳的等效基頻通道,以及貼近理論上最佳的頻譜使用效益。
● Jiun-Hung Yu, Z.-H. Yu, K.-L. Wu, T.-S. Lee, and Y. T. Su, ''A ML-MMSE receiver for millimeter wave user- equipment detection: beamforming, beamtracking, and data-symbols detection,'' IEEE Transactions Wireless Communications, vol. 20, no. 8, pp. 5301–5313, Aug., 2021. (
Link)
● Z.-C. Chen, Jiun-Hung Yu, and M.-C. Lee, "Joint data-aided sensing and background clutter mitigation in bistatic SIMO-OFDM ISAC systems: a MAP turbo receiver" in Proc. IEEE Veh. Tech. Conf (VTC2026-spring), Nice, France, Jun., 2026.
● Y.-F. Liu, Jiun-Hung Yu, and M.-C. Lee, "A learning-driven design for weighted sum rate maximization of MU-MISO multi-RIS-aided systems with hardware impairments" in Proc. IEEE Veh. Tech. Conf (VTC2026-spring), Nice, France, Jun., 2026.
● C.-Y. Wei, Y.-S. Liu, and Jiun-Hung Yu, "Geometry-dependent sensing outage analysis for bistatic ISAC with spatial leakage and RCS fluctuations," in Proc. IEEE Veh. Tech. Conf (VTC2026-spring), Nice, France, Jun., 2026.
● T.-T. Tasi, Jiun-Hung Yu, and Y.-T. Su, "Improved hybrid precoding design for full-duplex mmWave point-to-point Communication," in Proc. IEEE Veh. Tech. Conf (VTC2024-spring), Singapore, Jun., 2024.