数学科学学院


 
导师代码: 10500
导师姓名: 冷劲松
性    别:
特    称:
职    称: 教授
学    位: 理学博士学位
属    性: 专职
电子邮件: lengjs @ uestc.edu.cn

学术经历:   (1)2001-9至2006-12, 西安交通大学, 计算数学, 博士。 (2)1990-9至1993-6, 四川师范大学, 基础数学, 硕士。 (3)1986-9至1990-6, 四川师范大学, 基础数学, 学士。

个人简介:   教授,博士生导师。主要从事的研究方向为框架理论及小波分析、图像处理。主要工作及研究经历为: (1) 2014-8至现在, 电子科技大学, 数学科学学院, 教授。 (2) 2010-4至2011-4, University of Central Florida, 理学院, 访问学者。 (3) 2005-8至2014-8, 电子科技大学, 数学科学学院, 副教授。 (4) 1997-9至2005-8, 电子科技大学, 数学科学学院, 讲师。 (5) 1993-7至1997-7, 重庆解放军后勤工程学院基础部, 数学系, 讲师。

科研项目:   1. 国家自然科学基金面上项目,61370147,稀疏优化算法及预条件子加速技术与图像 处理研究,2014.01-2017.12,77万元,已结题,主研。 2. 国家自然科学基金面上项目,11271001,用框架理论处理信号传输中数据丢失问题 的研究,2013/01-2016/12,60万元,已结题,主持。

研究成果:   (1) Sun, Guomin; Jinsong Leng; Cattani, Carlo; A particular directional multilevel transform based method for single-image rain removal, Knowledge-Base d Systems, 2020, 200. (2) Jinsong Leng; Deguang Han; Tingzhu Huang; Optimal Dual Frames for Communication Coding With Probabilistic Erasures, IEEE Transactions on Signal Processing, 2011, 59(11): 5380-5389. (3) Jinsong Leng; Z. X. Cheng; T. Z. Huang; C. H. Lai; Construction and properties of multiwavelet packets with arbitrary scale and the related algorithms of decomposition and reconstruction, Computers & Mathematics with Applications, 2006, 51: 1663-1676. (4) Jinsong Leng; Tingzhu Huang; Construction of fusion frame systems infinite dimensional Hilbert spaces, Abstract and Applied Analysis, 2014. (5) Jinsong Leng; Deguang Han; Tingzhu Huang; Probability modelled optimal frames for erasures, Linear Algebra and its Applications, 2013, 438(11): 4222-4236. (6) Jinsong Leng; Qixun Guo; Tingzhu Huang; The Duals of fusion frames for experimental data transmission coding of high energy physics, Advances in High Energy Physics, 2013, 2(38): 369-381. (7) Jinsong Leng; Tingzhu Huang; Carlo Cattani; Construction of bivariate nonseparable compactly supported orthogonal wavelets, Mathematical Problems in Engineering, 2013, 2013: 3625-3629. (8) Dongwei Li; Jinsong Leng; Tingzhu Huang; Frame expansions with probabilistic erasures, Digital Signal Processing, 2018, 72: 75-82. (9) Miao He; Jinsong Leng; Jiali Yu; Probability modelled optimal K-frame for erasures, IEEE Access, 2018, 6: 54507-54515. (10) 范俊民; 冷劲松; 李东伟; 一类基于低维框架张量积的高维信号传输算法, 数学的实践与认识, 2018, 16: 143-149. (11) Dongwei Li; Jinsong Leng; Tingzhu Huang; On sum and stability of g-frames in Hilbert spaces,Linear and Multilinear Algebra, 2018, 66(8): 1578-1592. (12) Dongwei Li; Jinsong Leng; Tingzhu Huang; Yuxiang Xu; Some equalities and inequalities for probabilistic frames,Journal of Inequalities and Applications,2016, 2016(1): 245. (13) Qianping Guo; Jinsong Leng; Houbiao Li; Some equalities and inequalities for fusion frames, Springer Plus, 2016, 5(1): 1-10. (14) Qianping Guo; Jinsong Leng; Deguang Han; Qingyu Fan; Houbiao Li; Qing Gao; Adaptive optimal dual frames for signal reconstruction with erasures, IEEE Access, 2016, 4: 7577-7584. (15) 胡伟平; 冷劲松; 融合框架中若干新的性质, 四川师范大学学报(自然科学版), 2016, 2: 191-195. (16) Xiaoming Duan; Jinsong Leng; Carlo Cattani; Caiyun Li; A Shannon-Runge-Kutta-Gill method for convection-diffusion equations, Mathematical Problems in Engineering, 2013, 3(26): 532-546. (17) Dongwei Li; Jinsong Leng; Tingzhu Huang; New characterizations of g-frames and g-Riesz bases, International Journal of Wavelets Multiresolution and Information Processing, 2018, 16(6). (18) Guomin Sun; Jinsong Leng; Carlo Cattani; A framework for circular multilevel systems in the frequency domain,Symmetry-Basel, 2018, 10(4): 101-113. (19) Dongwei Li; Jinsong Leng; Tingzhu Huang; On some new inequalities for continuous fusion frames in Hilbert spaces, Mediterranean Journal of Mathematics, 2018, 15(4): 173. (20) Dongwei Li; Jinsong Leng; Tingzhu Huang; G-frames and greedy approximations in Hilbert spaces,Upb Scientific Bulletin, 2018, 80(1): 63-70. (21) Dongwei Li; Jinsong Leng; Tingzhu Huang; Generalized frames for operators associated with atomic systems, Banach Journal of Mathematical Analysis, 2018, 12(1): 206-221. (22) Dongwei Li; Jinsong Leng; Tingzhu Huang; Some properties of g–frames for Hilbert space operators, Operators and Matrices, 2017, 11(4): 1075-1085. (23) Dongwei Li; Jinsong Leng; Tingzhu Huang; On some new inequalities for fusion frames in Hilbert spaces, Mathematical Inequalities and Applications, 2017, 6(3): 889-900. (24) Guomin Sun; Jinsong Leng; Tingzhu Huang; An efficient sparse optimization algorithm for weighted l(0) shearlet-based method for image deblurring, IEEE Access, 2017, 5: 3085-3094. (25) Dongwei Li; Jinsong Leng; Operator representations of g-frames in Hilbert spaces, Linear and Multilinear Algebra, 2020, 68(9): 1861-1877. (26) Dongwei Li; Jinsong Leng; Tingzhu Huang; On Weaving g-Frames for Hilbert Spaces, Complex Analysis and Operator Theory, 2020, 14(2): 1-25. (27) Dongwei Li; Jinsong Leng; Tingzhu Huang; On Some Equalities and Inequalities of Fusion Frame in Hilbert C-Modules, Jourmal Of Mathematical Inequalities, 2019, 13(2): 437-449. (28) Dongwei Li; Jinsong Leng; Generalized frames for controlled operators in Hilbert spaces, Annals of Functional Analysis, 2019, 10(4): 537-552. (29) Dongwei Li; Jinsong Leng; Miao He; Optimal Dual Frames for Probabilistic Erasures, IEEE Access, 2018, 7: 2774-2781. (30) Qianping guo; Jinsong Leng; Houbiao Li; Construct approximate dual g-frames in Hilbert spaces, Linear and Multilinear Algebra, 2019, 3(2019): 1-14. (31) 郭倩平; 冷劲松; 李厚彪; 基于矩阵的有限框架的构造, 数学的实践与认识, 2020, 50(12): 168-172. (32) Qianping Guo; Jinsong Leng; Houbiao Li; Carlo Cattani; Some Bounds on Eigenvalues of the Hadamard Product and the Fan Product of Matrices, Mathematic, 2019, 2, 7(2). (33) Shanshan Li; Jinsong Leng; Minggang Fei; Paley-Wiener-Type theorems for the Clifford-Fourier transform, Mathematical Methods in The Applied Sciences, 2019, 18(42): 6101-6113. (34) Shanshan Li; Jinsong Leng; Minggang Fei; Spectrums of functions associated to the fractional Clifford-Fourier transform, Advances in Applied Clieford Algebras, 2020,1(30). (35) Shanshan Li; Jinsong Leng; Minggang Fei; Real Paley-Wiener theorems for the (k,a)-generalized Fourier transform, Mathematical Methods in The Applied Sciences, 2020, 11(43): 6985-6994. (36) Shanshan Li; Jinsong Leng; Minggang Fei; On the supports of functions associated to the radially deformed Fourier transform, Advances in Applied Clieford Algebras, 2020, 3(30). (37) Miao He; Jinsong Leng; Jiali Yu; On the Sum of K-Frames in Hilbert Spaces, Mediterranean Journal of Mathematics, 2020, 17(2): 1-16. (38) Miao He; Jinsong Leng; Jiali Yu; New properties of phase-retrievable g-frames and exact phase-retrievable g-frames, Linear and Multilinear Algebra, 2020,1: 1-16. (39) Miao He; Jinsong Leng; Dongwei Li; Yuxiang Xu; Operator representations of K-frames: boundedness and stability, Operators and Matrices, 2020, 14(4): 1-13. (40) 向昌成; 冷劲松; 杨兴江; 焦点区域的检测实现多聚焦图像融合, 计算机工程与应用, 2010,46(10), 137-139, 168. (41) 王定成; 苏淳; 冷劲松. NA序列广义Jamison型加权和的几乎处处收敛性, 应用数学学报, 2002, 25(001):77-87. (42) 冉瑞生; 黄廷祝; 冷劲松; 一类块三对角矩阵求逆的算法, 计算物理, 2005, 22(005):412-416. (43) Cui L. H.; Cheng Z. X .; Leng J. S.; Short Supported Biorthogonal Multiwavelets System with High Vanishing Moments Associated with Hermite Interpolant Function, International Conference on Wavelet Analysis and Its Applications, Chongqing, Singapore: Word Scientific, 2004, 411-416. (44) 冷劲松; 程正兴; 黄廷祝; a尺度多重正交小波包, 工程数学学报, 2001(18), 125-130. (45) 冷劲松; 程正兴; a尺度多重正交小波包的L2(R)分解, 工程数学学报, 2004, 21(3), 391-396. (46) J. S. Leng; T. Z. Huang; Construction of biorthogonal multiwavelets, Journal of Electronic Science and Technology of China, 2004, 2(1), 76-80. (47) 冷劲松; 傅英定; 钟守铭; Algorithms of decomposition and reconstruction with biorthogonal multiwavelet packets with Scale=a, 电子科技大学学报, 2006, 35(5), 851-853. (48) 冷劲松; 王定成; PHI一混合序列加权和的强稳定性, 电子科技大学学报国庆50周年专辑, 1999, 9, 388-396. (49) J. S. Leng; T. Z. Huang; Z. W. Liao; Uniform convergence of tensor product wavelet series, Proceedings of 2006 International Conference on Machine Learning and Cybernetics, Dalian, IEEE Systems, 2006, 4124-4127. (50) J. S. Leng; T. Z. Huang; Y. D. Fu; Construction of bivariate nonseparable compactly supported biorthogonal wavelets, Proceedings of 2008 International Conference on Machine Learing and Cybernetics, Kunming, IEEE Systems, 2008, 3625-3629. (51) J. S Leng; Z. X. Cheng; J. P. LI; The properties ot biorthogonal multiwavelet packets with scale-a. Proceedings of the Third International Conference on Wavelet Analysis and Its Applications, Chongqing, Singapore: World Scientific, 2003, 484-489. (52) J. S. Leng; T. Z. Huang; Y. D. Fu; C. H. Lai; A method for constructing trivariate nonseparable compactly supported orthogonal wavelets, International Journal of Computer Mathematics, 2009, 7(86), 1264-1273. (53) 冷劲松; 程正兴; 杨守志; 黄廷祝; 正交共轭滤波器的构造, 计算数学,2004,26(2),151-160. (54) 范俊民; 冷劲松; 李东伟; 等距丢失模型下的框架张量积重构方法, 计算数学, 2020, 42(2), 159-169. (55) J. S. Leng; T. Z. Huang; Algorithm of decomposition and reconstruction with orthogonal multiwavelet packets with random scale, Proceedings of the International Conference. on DCABES, Wuhan, 2004, 323-326. (56) J. S. Leng; T. Z. Huang; Y. D. FU; Construction of multiwavelets using special matrices, Proceedings of the Seventh International Conference on Matrix, Chengdu, 2006, 421-423. (57) T. Z. Huang; J. S. Leng; E. L. Wachspress; Y. Y. TANG; Characterization of H-Matrices, Computers and Mathematics with Applications, 2004, 48, 1587-1601.

专业研究方向:  
专业名称 研究方向 招生类别
070100数学 01图像与信息处理建模与高性能算法 硕士


学院列表
01  信息与通信工程学院
02  电子科学与工程学院
03  材料与能源学院
04  机械与电气工程学院
05  光电科学与工程学院
06  自动化工程学院
07  资源与环境学院
08  计算机科学与工程学院
09  信息与软件工程学院
10  航空航天学院
11  数学科学学院
12  物理学院
13  医学院
14  生命科学与技术学院
15  经济与管理学院
16  公共管理学院
17  外国语学院
18  马克思主义学院
21  基础与前沿研究院
22  通信抗干扰技术国家级重点实验室
23  电子科学技术研究院
28  深圳高等研究院