冷勁松

電子科技大學教授。

1986.09-1990.06在四川師範大學數學系攻讀本科學士學位。

1990.09-1993.06在四川師範大學數學系攻讀研究生碩士學位。

2001.09-2006.12在西安交通大學理學院攻讀研究生博士學位。

論文及專著發表（Publications）

期刊論文（Refereed Journal Publications）

1. Jinsong Leng, Deguang Han, Tingzhu Huang, Optimal dual frames for communication coding with probabilistic erasures, IEEE Transactions on Signal Processing, 2011, 11(59), 5380-5389.

2. Jinsong Leng, Deguang Han, Optimal dual frames for erasures II, Linear Algebra and its Applications, 2011, 435, 1464-1472.

3. Jin-Song Leng, Ting-Zhu Huang, Yan-Fei Jing, Wei Jiang, A study on conjugate quadrature filters, EURASIP Journal on Advances in Signal Processing, Volume 2011, p p. 1-7, April, 2011.

4. J. S. Leng, D. Han, Orthogonal projection decomposition of matrix and construction of fusion frames, Advances in Computational Mathematics.2013, 2(38), 369-381.

5. 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.

6. J. S. 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, Comp. and Math. with Appl., 2006, 51, 1663-1676.

7. J. S. Leng, D. Han. Probability modeled optimal frames for erasures, Linear Algebra and its Applications, 2013, 438, 4222-4236.

8. Jinsong Leng, Tingzhu Huang, and Carlo Cattani, Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets, Mathematical Problems in Engineering, Volume 2013, pp. 1-11, 2013.

9. Jinsong Leng, Qixun Guo, and Tingzhu Huang, The Duals of Fusion Frames for Experimental Data Transmission Coding of High Energy Physics, Advances in High Energy Physics, Volume 2013, pp. 1-9, 2013.

10. Jinsong Leng, Tingzhu Huang, Construction of Fusion Frame Systems in Finite Dimensional Hilbert Spaces, Abstract and Applied Analysis, Volume 2014, pp. 1-9, 2014.

11. Xiaoming Duan, Jinsong Leng, Carlo Cattani, and Caiyun Li, A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations, Mathematical Problems in Engineering, Volume 2013, pp. 1-5, 2013.

12. T. Z. Huang, J. S. Leng, E.L.Wachspress, and Y. Y. TANG, Characterization of H-Matrices, Computers and Mathematics with Applications, 2004,48, 1587-1601.

13. Q. P. Guo, J. S. Leng, H. B. Li, Some Equalities and Inequalities for Fusion Frames, SpringerPlus, Volume 121, pp. 1-10, 2016.

14. Xiang Chang-cheng, Leng Jin-song, Yang Xing-jiang, Multi-Focus Image Fusion Based on Region Detection, Computer Engineering and Applications, 2010, 10(46), 137-139, 168.

15. Leng Jinsong, Cheng Zhengxing, Yang Shouzhi, Huang Tingzhu, Construction of Conjugate Quadrature Filters, Mathematica Numerica Sinica, 2004, 2(26), 151-160.

16. Leng Jinsong, Huang Tingzhu, Construction of biorthogonal multiwavelets. Journal of Electronic Science and Technology of China, 2004, 1(2), 76-80.

17. Leng Jin-song, Fu Ying-ding, Zhong Shou-ming, Algorithms of decomposition and reconstruction with biorthogonal multiwavelet packets with Scale=a. Journal of University of Electronic Science and Technology of China, 2006, 5(35), 851-853.

18. Leng Jin-song, Cheng Zheng-xing, Huang Ting-zhu, Biorthogonal Multiwavelet Packets with

Scale=a, Chinese Journal of engineering Mathematics, 2001, 5(18), 124-130.

19. Leng Jin-song, Cheng Zheng-xing, L2(R) Decomposition of Biorthogonal Multiwavelet Packets with Scale=a, Chinese Journal of engineering Mathematics, 2004, 3(21), 391-396, 381.

20. Wang Dingcheng, Su Chun, Leng Jjinsong, Almost Sure Convergence of Generalized Jamison’s Weighted Sums For NA Sequence, ACTA Mathematicae Applicatae Sinica, 2002, 1(25), 77-87.

21. Ran Rui-sheng, Huang Ting-zhu, Leng Jin-song, An Algorithm for the Inverse of a Class of Block Tridiagonal Matrices, Chinese Journal of Computational Physics, 2005, 5(22), 412-416.

22. Duan Gui-duo, Li Jian-ping, Leng Jin-song, Construction of Bivariate Orthogonal Wavelet Filters, Chinese Journal of engineering Mathematics, 2008, 2(25), 260-266.

23. Leng Jin-song, Huang Ting-zhu, Fu Ying-ding, Some Experiences of Mathematical Labs Course, College Mathematics, 2004, 2(20), 26-28.

24. Leng Jin-song, Fu Ying-ding, Huang Ting-zhu, Study of Combination of Modern Teach and Traditional Teach, College Mathematics, 2003, 2(19), 26-28.

25. Leng Jin-song, Fu Ying-ding, Huang Ting-zhu, Using Electronic Teaching Plan Rationally Can Utilize the Predominance of Modern Teaching Instrument Adequately, College Mathematics, 2008, 5(24), 4-7.

26. Zhong Erjie, Leng Jinsong, The Changes of Teaching Pattern of Mathematics in Information

Ag徠es, Journal of University of Electronic Science and Technology of China (social Sciences

Edition), 2002, 1(4), 88-90.

會議論文（Conference Proceedings）

1. 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.

2. J. S. Leng, T. Z. Huang, Y. D. Fu, Construction of bivariate nonseparable compactly supported biorthogonal wavelets, Proceedings of 2008 International Conference on Machine Learning and Cybernetics, Kunming, IEEE Systems, 2008, 3625-3629.

3. J. S. Leng, Z. X. Cheng, J. P. LI, The properties of biorthogonal multiwavelet packets with scale =. Proceedings of the Third International Conference on Wavelet Analysis and Its Applications. Chongqing, Singapore: World Scientific, 2003, 484-489.

4. J. S. Leng, Z. X. Cheng, J. P. LI, and S. M. Zhong, Biorthogonal multiwavelets on the interval, Proceedings of the Third International Conference on Wavelet Analysis and Its Applications, Chongqing, Singapore: World Scientific, 2004, 241-247.

5. 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.

6. 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.

7. L. N. Si, J. S. Leng, Numerical Solution of Linear Telegraph Equation via Legendre Wavelets, The 2nd International Conference Engineering Computation（ICEC2010）, BeiJing, 2010, 153-155.

8. Fang Shuai, Jingsong Leng, Qing Gao and Jianbo Li， Optimal Dual Frames for Uniform Frames with Erasures, Fuzzy Systems and Knowledge Discovery(FSKD2015), 955-959, 2015.

9. D.W.Li and J.S.Leng, Compensation in Frame Expansions for Communication Coding with Erasures. Wireless communication and network (IWWCN2015), ISBN 978-981-4733-65-6.

10. L. H. Cui, Z. X. Cheng, J. S. Leng, Short supported biorthogonal multiwavelets system with

high vanishing moments associated with Hermite interpolant function, Proceedings of the

Third International Conference on Wavelet Analysis and Its Applications, Chongqing,

Singapore: World Scientific, 2004, 411-416.

研究項目（Projects）

1. 國家自然科學基金面上項目（主持）：用框架理論處理信號傳輸中數據丟失問題的研究，2013-2016。

2. 國家自然科學基金面上項目（排名第二）：稀疏優化演演算法及預條件子加速技術與圖像處理研究，2014-2017。

3. 電子科技大學校青年基金（主持）：小波分析及信息處理，2008-2009。

1. National Science Foundation of China (Host): Study on the Application of Frame Theory in Signal Communication with Data Erasure, 2013-2016.

2. National Science Foundation of China (Second Participant): Study on the Sparse Optimal Algorithm and Precondition Acceleration Technology on Image Processing, 2014-2017.

3. Younger Science and Technology Foundation of UESTC (Host): Wavelet Analysis and its Application on Information Processing, 2008-2009.

2010年四川省教學成果一等獎（排名第五）

講授課程（Courses）

小波分析及框架理論

數學分析

微積分

線性代數

數學實驗