The generalized integrator (GI)-based filters can be categorized into two types: one is related to quadrature signal generator (QSG), and the other is related to sequence filter (SF). The QSG is used for generating the in-quadrature sinusoidal signals and the SF works for extracting the symmetrical sequence components. The signals generated by QSG and SF are useful in many applications, such as grid synchronization and harmonic estimation. However, the principles of QSG and SF are usually explained by either differential equations or transfer functions, which are not appropriate for analyzing some extended structures and thus restrict their applications. To overcome the drawback, this paper uses the first-order-system concept to re-investigate the GI-based filters, with which their working principles can be intuitively understood and their structure correlations can be easily discovered. Moreover, the proposed analysis method also provides the convenience for developing improved structures. To illustrate it, two improved filters are presented to enhance the performance of the basic QSG and SF. Finally, experimental results verify the effectiveness of the proposed method.
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