Title :
Fast parameter analysis of the complex exponential signal by the Newton-Raphson Method
Author :
Lin, Whei-Min ; Su, Tzu-Jung ; Wu, Rong-Ching ; Tsai, Jong-Ian
Author_Institution :
Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung
Abstract :
This paper proposes the algorithm to analyze parameters of the complex exponential signal by the Newton-Raphson method. The parameters of complex exponential signal include angular velocity, damping, amplitude, and phase. This algorithm takes the time-domain data as the reference. According to differing positions on the complex plane, the relative algorithm will be established. The nonlinear equations could be quickly solved by the iterative calculation. This analysis result can demonstrate precise complex exponential parameters. This method has features of fast calculation and simple framework.
Keywords :
Newton-Raphson method; nonlinear equations; signal processing; time-domain analysis; Newton-Raphson method; angular velocity; complex exponential signal; fast parameter analysis; nonlinear equation; time-domain data; Algorithm design and analysis; Angular velocity; Damping; Differential equations; Frequency domain analysis; Iterative algorithms; Newton method; Nonlinear equations; Signal analysis; Time domain analysis; Newton-Raphson Method; complex exponential; parameter;
Conference_Titel :
Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4244-2799-4
Electronic_ISBN :
978-1-4244-2800-7
DOI :
10.1109/ICIEA.2009.5138934