Exponentially attenuated sinusoidal signal parameter estimation method and device based on multi-spectral line interpolation

Abstract

The invention discloses an exponentially attenuated sinusoidal signal parameter estimation method and device based on multi-spectral line interpolation. According to the method, an expression of an attenuation index in a maximum sidelobe attenuation window frequency spectrum is derived; performing primary approximation on the expression of the attenuation index in the maximum sidelobe attenuationwindow frequency spectrum; obtaining a first primary approximation formula of the expression; carrying out second primary approximation on the first primary approximation formula; obtaining a second primary approximation formula; weighting coefficients from window functions, performing third-time approximation on the second first-time approximation formula; obtaining a third primary approximationformula; converting the third linear approximation formula into a solvable linear proportional form equation set; according to the method, the solvable linear proportional equation set is analyzed toobtain the complex offset, the complex offset is converted to obtain the attenuation index and the normalized digital frequency, performance error diffusion related to the algorithm in the precision correction process is avoided, the calculation cost is reduced, and the online application requirement can be met.

Description

technical field [0001] The invention relates to the field of electric power technology, in particular to a method and device for estimating exponentially decaying sinusoidal signal parameters based on multispectral interpolation. Background technique [0002] Online parameter estimation of decaying sinusoidal signals is an important problem in many applications such as instrumentation, power systems, signal processing, biosignaling, seismology, tracking and navigation. Among them, exponentially decaying sinusoids can be observed in power carriers, flexible structures, vibrating systems, radar signals, and biological signals. The parameters of the exponential form include frequency, damping factor, magnitude, and phase. For both types of exponential forms, if the damping factor is equal to zero, the mode is periodic; if the damping factor is negative, the mode will be aperiodic, and varies with It decays to zero over time. In the application of power carrier, the measuremen...

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