A novel modulation recognition algorithm is proposed by introducing a Chen-Harker-Kanzow-Smale (CHKS) smooth function into the C-support vector machine deformation algorithm. A set of seven characteristic parameters is selected from a range of parameters of communication signals including instantaneous amplitude, phase, and frequency. And the Newton-Armijo algorithm is utilized to train the proposed algorithm, namely, smooth CHKS smooth support vector machine (SCHKS-SSVM). Compared with the existing algorithms, the proposed algorithm not only solves the non-differentiable problem of the second order objective function, but also reduces the recognition error. It significantly improves the training speed and also saves a large amount of storage space through large-scale sorting problems. The simulation results show that the recognition rate of the algorithm can batch training. Therefore, the proposed algorithm is suitable for solving the problem of high dimension and its recognition can exceed 95% when the signal-to-noise ratio is no less than 10 dB. Xiaolin Zhang was born in 1971. He is an engineering doctor of information and communication engineering. He graduated from the College of Information and Communication Engineering in 1995 and received a Ph.D. degree from Harbin Engineering University, Harbin, China, in 2007. Now, he is an associate professor, a master graduate student tutor in Harbin Engineering University. He has published a number of academic papers, of which 10 pieces of EI retrieval. He successively presided over complete postdoctoral fund in China and postdoctoral fund in Heilongjiang Province, as a technical director successively participated in national, provincial and lateral projects. He is the member of China Communication Association. His research interests are communication signal detection and recognition, and broadband digital communication system. Jian Chen was born in 1990. In 2014, he enrolled in Harbin Engineering University with a major of information and communication engineering. He is pursuing his engineering master's degree in Harbin Engineering University, now. Especially in the direct sequence spread spectrum communication, he has a very deep research experience. He has published two international EI conference papers. His research interests are spread spectrum communication, cognitive precision communication electronic warfare, communication electronic countermeasure, and non-cooperative wireless communication detection. Zhiguo Sun was born in 1977. He was an engineering doctor of information and communication engineering. He received a Ph.D. degree from Harbin Engineering University, Harbin, China, in 2005. Now, he is an associate professor, a doctor/master graduate student tutor in Harbin Engineering University. His research interests are cognitive precision communication electronic warfare, non-cooperative wireless communication detection, high efficiency electromagnetic interference guidance, and multi-dimensional feature covert communication technology. He has participat...