Simultaneous Estimation of Moving-Vibration Parameters by Sliding Goertzel Algorithm in PLL Technique
Ksh. Milan Singh · IEEE Transactions on Instrumentation and Measurement · 2018
Sliding Goertzel DFT algorithm in phase-locked loop technique is proposed for simultaneous estimation of moving-vibration parameters: amplitude, frequency, and velocity. The proposed algorithm is derived from the standard sliding discrete Fourier transform where its computation complexity is reduced by inserting a pole-zero pair in the system function. A damping factor is introduced in the system function to stabilize when discrete Fourier transform (DFT) is computed with limited finite word length precession. It allows the system poles to lie within unit circle of the z plane and confirms a stable system. Furthermore, an adaptive sampling control is achieved as the sampling pulse duration varies according to carrier frequency deviation. An appropriate figure of merit is selected for the system function to reduce the noise effects in the input signal and to accept large range of measurement. Simulation investigation confirms the capability of the proposed technique to extract information even in the presence of large noise.