导师个人信息 - 电子科大研招网

数学科学学院

导师代码：	10500
导师姓名：	冷劲松
性别：	男
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：