Resonator-based (signal model based) Signal Processing

The application of the so-called resonator or periodic signal model based structure has a great role in the activity of the DSP Laboratory. The structure, which is based on the classical results of observer theory, has been developed - adopting the results of Hostetter - by Gábor Péceli. He is the inventor of the efficient application of the system for signal transforms and digital filtering. The Adaptive Fourier Analyzer is an extension of the resonator-based structure. It successfully eliminates the problem of discrete Fourier transform in the case of incoherent sampling. The AFA has been developed by our former colleague, Ferenc Nagy. The staff of the laboratory utilizes the structure in the practice. The system developed for the cancelation of periodic disturbances is a further extension of the resonator based structure.

	Basic structure Derivation of the resonator-based observer and its behavior in time-frequency domain.
	Adaptive Fourier analysis Introduction of a Fourier analysis structure that is able to follow the changes of the fundamental frequency.
	Resonator-based digital filters Implementation of digital filters of tight specifications has difficulties in many cases. Resonator-based filters have good properties that overcome these difficulties.