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Signal modeling using the gradient search
Authors:Xiangli Li  Feng Ding
Institution:1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, PR China;2. Control Science and Engineering Research Center, Jiangnan University, Wuxi 214122, PR China
Abstract:This letter presents a new method for continuous signal modeling. Firstly, the continuous signal can be represented as a function of the trigonometric functional extension (Fourier series). Fourier series of the signal are parameterized by the fundamental frequency and unknown parameters. Then, the gradient-based iterative identification algorithm is derived, for estimating parameters of the signal model with known and unknown frequencies, separately. Finally, the simulation results indicate that the proposed algorithm is effective.
Keywords:Signal modeling  Fourier series  Parameter estimation  Gradient-based iteration  Fundamental frequency
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