博士，现任北京师范大学文理学院数学系讲师、硕士生导师。主持完成省部级课题一项，参与多项国家自然科学基金项目和澳门特区科技发展基金项目，在《Qual. Theor. Dyn. Syst.》，《Signal Process.》，《J. Comput. Appl. Math.》，《Inf. Fusion》等刊物发表学术文章十余篇。

教育背景

2009.09-2013.06  华南师范大学，数学与应用数学，理学学士

2013.09-2015.06  澳门大学，数学，理学硕士

2015.09-2019.06  澳门大学，数学，哲学博士

工作经历

2020年7月至今，先后任职于北京师范大学自然科学高等研究院与北京师范大学文理学院

研究方向

四元数分析与傅里叶分析，信号与图像处理

科研项目

1. 基于多通道信息的函数重建理论及其应用；广东省自然科学基金；2020-2022；主持

2. 基于变分保结构的数据驱动型心血管影像智能分割算法；国家自然科学基金；2024-2027；参与

3.Quaternions Method and Digital Color Image Processing；澳门科技发展基金；2019-2022；参与

4. Quaternion Linear Canonical Transforms and Applications；澳门科技发展基金；2016-2019；参与

发表论文

1. Dong Cheng, Kit Ian Kou, Yonghui Xia, Junfeng Xu, Sampling expansions associated with quaternion difference equations,  Linear and Multilinear Algebra , vol. 71, no. 13, 2180-2203, 2023.

2. Xiaoxiao Hu, Dong Cheng, Kit Ian Kou, Convolution theorems associated with quaternion linear canonical transform and applications,  Signal Processing , vol. 202, 108743, 2023.

3. Jifei Miao, Kit Ian Kou, Dong Cheng, Wankai Liu, Quaternion higher-order singular value decomposition and its applications in color image processing,  Information Fusion , vol. 92, pp. 139–153, 2023.

4. Dong Cheng, Xiaoxiao Hu, Kit Ian Kou, Signal reconstruction from noisy multichannel samples,  Digital Signal Processing , vol. 129, 103673, 2022.

5. Wenshan Bi, Dong Cheng, Wankai Liu, Kit Ian Kou, A Robust Color Edge Detection Algorithm Based on Quaternion Hardy Filter,  Acta Mathematica Scientia , vol. 42, 1238–1260, 2022.

6. Xiaoxiao Hu, Dong Cheng, Kit Ian Kou, Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transforms,  Frontiers of Information Technology and Electronic Engineering , vol. 23, 463–478, 2022.

7. Dong Cheng, Kit Ian Kou, Multichannel interpolation of nonuniform samples with application to image recovery,  Journal of Computational and Applied Mathematics , vol. 367, 112502, 2020.

8. Dong Cheng, Kit Ian Kou, Yonghui Xia, Floquet theory for quaternion-valued differential equations,  Qualitative Theory of Dynamical Systems , vol. 19, no. 14, 2020.

9. Dong Cheng, Kit Ian Kou, FFT multichannel interpolation and application to image super resolution,  Signal Processing , vol. 162, pp. 21–34, 2019.

10. Dong Cheng, Kit Ian Kou, Plancherel theorem and quaternion Fourier transform for square integrable functions,  Complex Variables and Elliptic Equations , 64(2), 223–242, 2019.

11.Dong Cheng, Kit Ian Kou, Generalized sampling expansions associated with quaternion Fourier transform,  Mathematical Methods in the Applied Sciences , 41(11): 4021–4032, 2018.

12. Dong Cheng, Kit Ian Kou, Yonghui Xia, A unified analysis of linear quaternion dynamic equations on time scales,  Journal of Applied Analysis and Computation , 8(1): 172–201, 2018.

13.Dong Cheng, Kit Ian Kou, Novel sampling formulas associated with quaternionic pro- late spheroidal wave functions,  Advances in Applied Clifford Algebras , 27(4): 2961–2983, 2017.

教学工作

近年来主要讲授复变函数、小波分析、数学软件、概率论与数理统计等课程。主持北京师范大学教改项目：师范生数学建模能力培养的探索与实践。

其他

担任北京师范大学乐育书院班主任

担任北京师范大学乐育书院和会同书院新生导师

担任大学生暑期社会实践带队老师